Window-Windcatcher for Enhanced Thermal Comfort, Natural Ventilation and Reduced COVID-19 Transmission

We investigate and test the effectiveness of a novel window windcatcher device (WWC), as a means of improving natural ventilation in buildings. Using ANSYS CFX, the performance of the window-windcatcher is compared to a control case (no window-windcatcher), in three different geographic locations (Cardiff, Doha and Amman) which are representative of three different types of atmospheric conditions. The proposed window-windcatcher has been shown to improve both thermal comfort and indoor air quality by increasing the actual-to-required ventilation ratio by up to 9% compared to the control case as per the American Society of Heating, Refrigerating and Air-Conditioning Engineers (ASHRAE) standards. In addition, the locations with minimum velocities have been identified. Those locations correspond to the regions with a lower infection risk of spreading airborne viruses such as SARS-CoV-2, which is responsible for the COVID-19 pandemic.


Introduction
As one of the most significant threats to our lives, global warming needs to be tackled immediately and effectively. Global warming has been destroying the environment, thus affecting almost all aspects of our lives [1]. The construction industry is one of the main sectors contributing to global warming, through the emission of vast greenhouse gas (GHG), mainly CO 2 [2]. In addition, 40% of the CO 2 emissions is generated by buildings and around 40% of the global energy generated is consumed by buildings [3]. Energy consumption by buildings is expected to reach 64% of the total energy consumption by 2100, if no action is taken [4].
More than 60% of the energy consumption in buildings is used for heating, cooling, and ventilation [5]. This energy is obtained mainly from fossil resources [5]. In addition to the challenges of high energy consumption and CO 2 emissions, maintaining acceptable indoor air quality (IAQ) using mechanical HVAC systems can be challenging. On average, people spend up to 90% of their time working and living indoors. The risk of sick building syndrome (SBS), metabolic diseases and transmission of COVID-19 and other airborne viral diseases are increased in air-conditioned buildings compared to naturally ventilated buildings [6]. It is, thus, critical to ensure good IAQ to maintain health and productivity [5]. In this context, passive strategies implemented in the building's architecture, such as daylighting, natural ventilation, passive cooling and passive heating may provide significant benefits to users and to the environment as they lead to reduced energy consumption and CO 2 emissions, mitigating negative impacts on the environment and health. Implementing such passive strategies could also lead to significant cost savings [7]. low financial cost (only the cost of the software package), and it is suitable for complex geometries, generating detailed results. Detailed information regarding the advantages of CFD compared to other methods can be found in [15].
According to [16,17], Environmental Controls (ECs) are based on methods for reducing concentrations of an infectious agent in the air and on surfaces in indoor environments. World Health Organization (WHO) guidelines recommend a combination of environmental control mechanisms to avoid the spread of viruses to health care workers (HCWs) and patients in health care settings [17]. The environmental regulations rely on the design of the healthcare environment and include (a) building materials, surfaces, and products used [17]; (b) indoor environmental factors (e.g., temperature, humidity, light, and airflow) [17]; and (c) indoor access to the outside. All of the above may influence the survival of infectious agents in the built environment.
Airflow and ventilation systems play a significant role in the airborne transmission of pathogens; improving ventilation decreases the risk of transmission. Identifying how the novel window-windcatcher improves ventilation is the focus of our work here [6,7]. The design of a ventilation system depends on the ability to contain, mitigate, and remove airborne pollutants through air change and inward indoor airflow [17].
Reducing the effect of overheating, and thus, improving thermal comfort in a building, is achieved mainly by two methods: building elements and ventilation [18]. The heat conductivity (k-value) of the building elements (such as walls, windows, etc.) can be reduced through selecting appropriate building elements. Ventilation is enhanced through increased air circulation, using, for example, window-windcatchers. The overheating is given by H loss = c p . m∆T, where c p is the air specific capacity, . m is the air mass flow rate and ∆T is the temperature difference between the internal and external domains. The window-windcatcher can increase H loss by increasing .

m.
Our work aims to investigate and test, using CFD, the design of a novel window-windcatcher device that can be mounted on exterior walls to capture the prevailing wind and redirect it into indoor spaces. We demonstrate that the ventilation rate in an indoor space increases when we use the novel window-windcatcher. According to the World Health Organization (WHO), viral diseases, such as COVID-19, can be more easily transmitted in poorly ventilated enclosed spaces which have low ventilation rates [19]. The proposed design could replace or complement traditional large-scale windcatchers by small-scale decentralized windcatchers which can be mounted on exterior walls as a window component. The design of the device is suitable for retrofitting existing buildings or for new buildings. We find that the device could enhance the effectiveness of natural ventilation (passive cooling) in buildings, significantly improving IAQ and thermal comfort by increasing the actual-to-required ventilation ratio, as per the ASHRAE standards, by up to 9% compared to the control case without a window-windcatcher. This can be achieved by increasing the ventilation rate while ensuring minimal turbulence. Increasing the ventilation rate is primarily achieved by increasing air velocity; however, as the turbulence kinetic energy is dependent on the air velocity, improving the ventilation rate could potentially increase the turbulence kinetic energy. Therefore, it is crucial to ensure that the increase in the turbulence kinetic energy is kept sufficiently low as the velocity increases.
Portable air cleaners, also known as air purifiers or air sanitizers, are designed to filter the air in a single room or area [20]. Central furnace or HVAC filters are designed to filter air throughout a home. Portable air cleaners and HVAC filters can reduce indoor air pollutants, including viruses, that are airborne [20]. By themselves, portable air cleaners and HVAC filters are not enough to protect people from the virus that causes COVID- 19 [20]. Air purifiers could be placed in regions of high turbulence kinetic energy. Hence, such regions shall be carefully identified in order to formulate recommendations on the use of air purifiers. Placing air purifiers in high turbulence kinetic energy regions will: (1) ensure that the highest air flow rate is entering the air purifier; and (2) prevent the building's residents to occupy those locations. We outline the structure of the paper. The Introduction provides the rationale of the research, the benefits of implementing passive design techniques such as natural ventilation, the context of using the windcatcher natural ventilation system, our goals and objectives, and an overview of the used methodology. The Material and Methods section provides more detailed information about the proposed window windcatcher, building geometry, and the geographical locations of the three cities we study (Amman, Doha and Cardiff). In addition, this section provides information about the CFD method, software, sensitivity analysis, and inlet and outlet boundary conditions. The Results section consists of a qualitative and a quantitative part. The qualitative part presents visual comparisons of a case without or with a window windcatcher device, respectively. The comparison includes the turbulence kinetic energy, velocity, and velocity streamlines for the three selected cities, on selected planes of interest. The quantitative part shows the simulations with and without a window-windcatcher and the device's effect on the actual-to-required ventilation ratio. In the Discussion section, we present the effect of the windcatcher on the IAQ. In addition, potential locations for deploying air purifiers in indoor spaces are discussed. Lastly, the Conclusions section presents the key results; the window-windcatcher increases the actual-to-required ventilation ratio as per the ASHRAE standards by up to 9%.

Description of the Window-Windcatcher and of the Building
To examine the efficiency of the proposed window-windcatcher device, a simplified building model representing a typical single-family house is used-see Figure 1. This building model was used in several studies to investigate natural ventilation and passive cooling in Jordan [21]. For example, it was used to examine the efficiency of the Solar-Wall system (combination of Trombe wall and solar chimney) on enhancing indoor thermal comfort [21]. The selected room dimensions are 4 m × 3 m × 2.7 m (length × width × height), so the floor area is 12 m 2, and the volume is 32.4 m 3 . The external window of the room is 2 m in width, 1 m in length, and 1 m in sill height, with a total window-to-wall ratio of 18%. The window has an operable sliding glazing mechanism that allows up to 50% of its total area to be opened.
The proposed window-windcatcher aims to enhance natural ventilation in a particular room and in the whole residential unit-see Figure 1. The device is to be mounted on the envelope of existing or new buildings with minimal changes on the building shape or structure. Hence, the device could be used as a passive retrofitting technique. The design could be further developed to take into account requirements about privacy, daylighting, and aesthetic issues. Generally, as illustrated in Figure 2, the device consists of four vertical supporting elements (joists) that connect two horizontal planes, an upper and a lower plane. The distance between the upper and the lower plane is equal to the height of the window opening, in this case 1 m. The device consists of four fins (1 m height × 0.15 m width × 0.02 m thickness) tilted by 45 degrees located at the outside edge of the device and one curved element that spans from a point near the last fin in the group into the right internal corner of the two planes. The fins and the curved element are mounted between the two planes supported by the four supporting elements at the four corners of the horizontal planes. The aim is that the prevailing wind will be captured and pass through the device opening on the shorter side opposite the curved element and the areas between the tilted fins.
The vertical curved plane aims at enhancing the captured airflow toward the interior spaces. The tilting angle could be optimized by running the simulation for different angles; this is outside our research scope. Moreover, other issues could be investigated in future work, such as daylighting performance, privacy, and the finishing materials used for the various components of the proposed device. The proposed window-windcatcher aims to enhance natural ventilation in a particular room and in the whole residential unit-see Figure 1. The device is to be mounted on the envelope of existing or new buildings with minimal changes on the building shape or structure. Hence, the device could be used as a passive retrofitting technique. The design could be further developed to take into account requirements about privacy, daylighting, and aesthetic issues. Generally, as illustrated in Figure 2, the device consists of four vertical supporting elements (joists) that connect two horizontal planes, an upper and a lower plane. The distance between the upper and the lower plane is equal to the height of the window opening, in this case 1 m. The device consists of four fins (1 m height × 0.15 m width × 0.02 m thickness) tilted by 45 degrees located at the outside edge of the device and one curved element that spans from a point near the last fin in the group into the right internal corner of the two planes. The fins and the curved element are mounted between  the two planes supported by the four supporting elements at the four corners of the horizontal planes. The aim is that the prevailing wind will be captured and pass through the device opening on the shorter side opposite the curved element and the areas between the tilted fins. The vertical curved plane aims at enhancing the captured airflow toward the interior spaces. The tilting angle could be optimized by running the simulation for different angles; this is outside our research scope. Moreover, other issues could be investigated in

Case Studies
The proposed window-windcatcher's performance has been evaluated against a control case without a window-windcatcher, in three geographical locations: Cardiff, Doha and Amman-see Figure 3. The three cities are located within three different climatic zones: Amman in a hot-summer Mediterranean climate, Doha in a hot desert climate and Cardiff is in an Oceanic climate. The Total Wind Velocity (TWV) and temperature in each city have been obtained for 2021 [22]. The average temperature and TWV have been evaluated and plotted in Figure 4. We find, respectively, for Cardiff, Doha and Amman, these values to be The vertical curved plane aims at enhancing the captured airflow toward the interior spaces. The tilting angle could be optimized by running the simulation for different angles; this is outside our research scope. Moreover, other issues could be investigated in future work, such as daylighting performance, privacy, and the finishing materials used for the various components of the proposed device.

Case Studies
The proposed window-windcatcher's performance has been evaluated against a control case without a window-windcatcher, in three geographical locations: Cardiff, Doha and Amman-see Figure 3. The three cities are located within three different climatic zones: Amman in a hot-summer Mediterranean climate, Doha in a hot desert climate and Cardiff is in an Oceanic climate. The Total Wind Velocity (TWV) and temperature in each city have been obtained for 2021 [22]. The average temperature and TWV have been evaluated and plotted in Figure 4. We find, respectively, for Cardiff, Doha and Amman, these values to be [     As shown in Figure 5, the orientation of the building with respect to the direction of the average TWV is simulated for equal shear (SWV) and normal (NWV) wind velocity components (i.e., 3.85 m/s, 2.97 m/s and 2.55 m/s for Cardiff, Doha and Amman, respectively). The velocity components have been estimated, according to [23], as follows: As shown in Figure 5, the orientation of the building with respect to the direction of the average TWV is simulated for equal shear (SWV) and normal (NWV) wind velocity components (i.e., 3.85 m/s, 2.97 m/s and 2.55 m/s for Cardiff, Doha and Amman, respectively). The velocity components have been estimated, according to [23], as follows: As shown in Figure 5, the orientation of the building with respect to the direction of the average TWV is simulated for equal shear (SWV) and normal (NWV) wind velocity components (i.e., 3.85 m/s, 2.97 m/s and 2.55 m/s for Cardiff, Doha and Amman, respectively). The velocity components have been estimated, according to [23], as follows:

CFD Simulations
CFD simulations of the airflow passing through the proposed window-windcatcher were performed with the ANSYS 2020 CFX package [24]. We used a virtual machine with computational capabilities of Processor Intel ® Core™i7-7700 CPU @ 3.6 Hz, installed memory 32 GB and a 64-bit operating system. The computational time was approximately 12 h for each case study. The geometry of the building was modelled and loaded into ANSYS. The building model was created using the Boolean algorithm (i.e., the solid domain is subtracted from the internal and external fluid domain [25]-see Figure 5. Figure 6 shows the computational mesh for these domains, created with approximately 2.19 × 10 6 elements. Performing experiments with the novel windcatcher is not currently possible as the device has not been manufactured. In fact, the focus of the work is generating CFD simulations that are as accurate as possible in order to assess this device before proceeding to manufacture it. We establish the accuracy of the simulations through performing meshsensitivity analysis for the building that ensures that the findings are independent of the mesh size. The WWC CAD model is created using AutoCAD. This approach has been adopted in our previous studies [26,27]. Figure 7 shows how the number of elements was determined following mesh sensitivity analysis. The mesh sensitivity study was done for the Amman case study using an average velocity across an interior plane with an offset of 1.7 m from the floor, which is around the average person's height [28]. At around 9.4 × 10 5 elements, the results do not change with the mesh size. Nevertheless, a much finer mesh with 2.19 × 10 6 elements was chosen for the simulation to give a high level of confidence and accuracy. In addition, the relative error to the selected mesh size has been estimated and shown to decrease when the mesh size decreases-see Figure 7. The velocity values converged with a relative error margin of 1%. computational capabilities of Processor Intel ® Core™i7-7700 CPU @ 3.6 Hz, installed memory 32 GB and a 64-bit operating system. The computational time was approximately 12 h for each case study. The geometry of the building was modelled and loaded into ANSYS. The building model was created using the Boolean algorithm (i.e., the solid domain is subtracted from the internal and external fluid domain [25]-see Figure 5. Figure  6 shows the computational mesh for these domains, created with approximately 2.19 × 10 elements. Performing experiments with the novel windcatcher is not currently possible as the device has not been manufactured. In fact, the focus of the work is generating CFD simulations that are as accurate as possible in order to assess this device before proceeding to manufacture it. We establish the accuracy of the simulations through performing meshsensitivity analysis for the building that ensures that the findings are independent of the mesh size. The WWC CAD model is created using AutoCAD. This approach has been adopted in our previous studies [26,27]. Figure 7 shows how the number of elements was determined following mesh sensitivity analysis. The mesh sensitivity study was done for the Amman case study using an average velocity across an interior plane with an offset of 1.7 m from the floor, which is around the average person's height [28]. At around 9.4 × 10 elements, the results do not change with the mesh size. Nevertheless, a much finer mesh with 2.19 × 10 elements was chosen for the simulation to give a high level of confidence and accuracy. In addition, the relative error to the selected mesh size has been estimated and shown to decrease when the mesh size decreases-see Figure 7. The velocity values converged with a relative error margin of 1%. Furthermore, the mesh quality (Table 1) is consistent with previous studies [27][28][29]. The mesh is exported to CFX-PRE.  Furthermore, the mesh quality (Table 1) is consistent with previous studies [27][28][29]. The mesh is exported to CFX-PRE.
Using the k-ε turbulent flow model, we proceed with a steady-state analysis to determine the average velocities [27][28][29]. The fluid domain was chosen from the ANSYS library as air at 10.7 • C, 27.8 • C and 22.3 • C corresponding to the Cardiff, Doha and Amman case studies, respectively (as discussed in Section 2.2). The no-slip boundary conditions were implemented in ANSYS as 'No Slip Walls' [27][28][29].
The goal of this study is to demonstrate that the ventilation rate in an indoor space increases when we use the novel window-windcatcher. According to the World Health Organization (WHO), viral diseases, such as COVID-19, can be more easily transmitted in poorly ventilated enclosed spaces which have low ventilation rates [19]. Finally, the inlet boundary conditions (as specified in Figure 5) were set to velocity inlets with a turbulence intensity of 5% (default setting in ANSYS).
The Turbulence Kinetic Energy (k) is a proxy for the flow mixing level [26,29]. TKE has been chosen as a quantity to study in this work since COVID-19 spread increases with mixing. Equations (2)-(5) [26,29] give TKE: We plot TKE in ANSYS CFX. In addition, the performance of the window-windcatcher in preventing the spread of COVID-19 by increasing the ventilation rate has been evaluated against the required ventilation rate (Q required ) as per the ASHRAE standards [30]. The acceptable ventilation rate in residential buildings, as defined by the ASHRAE standards, is given in Equation (6) [30]. The convergence of the results is shown in Figure 8.
We plot TKE in ANSYS CFX. In addition, the performance of the windowwindcatcher in preventing the spread of COVID-19 by increasing the ventilation rate has been evaluated against the required ventilation rate ( ) as per the ASHRAE standards [30]. The acceptable ventilation rate in residential buildings, as defined by the ASHRAE standards, is given in Equation (6) [30]. The convergence of the results is shown in Figure 8. The actual ventilation rate ( ) has been estimated computationally using AN-SYS, and the ventilation performance has been benchmarked by the actual-to-required ventilation ratio ( ), Equation (7) [30]: The actual ventilation rate (Q actual ) has been estimated computationally using AN-SYS, and the ventilation performance has been benchmarked by the actual-to-required ventilation ratio (n Q ), Equation (7) [30]: The streamlines and contours of the velocity and TKE for the entire fluid domain are plotted in Figures 9-12. In addition, as shown in Figure 5, data have been displayed at two distinct heights (1.7 m and 1 m) for four planes (two planes for the internal domain and two for the external domain): the first height is 1.7 m above the floor (i.e., the breathing level of an average person [26]). The second is at the height of 1 m above the ground, which is about the same as the height of a sitting person.

Qualitative Analysis
As discussed in Section 2, we show how the novel window-windcatcher device we propose could increase the IAQ and hence mitigate the spread of COVID-19 indoors. This is essentially achieved by increasing the ventilation rate while ensuring minimal turbulence. Increasing the ventilation rate is primarily achieved by increasing air velocity; however, as the turbulence kinetic energy increases with the air velocity, increasing the ventilation rate would increase the turbulence kinetic energy.
Therefore, it is crucial to ensure that the increase in the turbulence kinetic energy is maintained at a low value. In addition, regions of high turbulence kinetic energy shall be carefully identified to inform other potential mitigations, for example placing air purifiers in relatively high turbulence regions. Therefore, the turbulence kinetic energy of the interior plane has been plotted for the 1 m (the average height for a seated person) and 1.7 m (the average height for a standing person) planes (Figures 9 and 10, respectively) for the three locations of interest (Cardiff, Doha and Amman).
As shown in Figure 10 for Cardiff, the window-windcatcher has slightly increased the TKE inside the building compared to the case without the window-windcatcher. On the other hand, this increase was less significant in Doha and Amman. This is attributed

Qualitative Analysis
As discussed in Section 2, we show how the novel window-windcatcher device we propose could increase the IAQ and hence mitigate the spread of COVID-19 indoors. This is essentially achieved by increasing the ventilation rate while ensuring minimal turbulence. Increasing the ventilation rate is primarily achieved by increasing air velocity; however, as the turbulence kinetic energy increases with the air velocity, increasing the ventilation rate would increase the turbulence kinetic energy.
Therefore, it is crucial to ensure that the increase in the turbulence kinetic energy is maintained at a low value. In addition, regions of high turbulence kinetic energy shall be carefully identified to inform other potential mitigations, for example placing air purifiers in relatively high turbulence regions. Therefore, the turbulence kinetic energy of the interior plane has been plotted for the 1 m (the average height for a seated person) and 1.7 m (the average height for a standing person) planes (Figures 9 and 10, respectively) for the three locations of interest (Cardiff, Doha and Amman).
As shown in Figure 10 for Cardiff, the window-windcatcher has slightly increased the TKE inside the building compared to the case without the window-windcatcher. On the other hand, this increase was less significant in Doha and Amman. This is attributed to the lower levels of wind velocity in Amman and Doha compared to Cardiff. Moreover, as shown in Figure 9, Regions A and B, the high-turbulence regions are located at the building corners while the central region (Region C) remains approximately unaffected.
By comparing the turbulence kinetic energy profiles at the 1 m plane (Figure 9) to those at the 1.7 m plane (Figures 9 and 10), it can be seen that the turbulence energy is higher at the 1.7 m plane (i.e., Region A in Figure 9 to Region D in Figure 10). Hence, Regions D and E could be good locations to place air purifiers.
The velocity profile of the interior plane has been plotted for the 1 m and 1.7 m planes (Figures 11 and 12, respectively) for Cardiff, Doha and Amman. As shown in Figure 11, the window-windcatcher has increased the air velocity inside the building compared to the case without the window-windcatcher (i.e., Region F in Figure 12 compared to Region G in Figure 11). In addition, by comparing Regions F and G, it can be noted that the windowwindcatcher has directed the air velocity towards the centre compared to the case without the window-windcatcher, where air velocity tends to be more attached to the building's wall. This essentially indicates the window-windcatcher's capability in vectoring the shear wind towards the building's centre-thus increasing the ventilation rate.
Comparing the velocity profiles of the three case studies, the Cardiff case demonstrates higher velocity levels than Doha and Amman. This is directly related to the fact that the wind velocity in Cardiff is higher than in Doha and in Amman. By comparing the velocity profiles at the 1 m plane to those at the 1.7 m plane ( Figures 11 and 12, respectively), while Region F in the 1 m plane ( Figure 11) follows approximately the same profile as the velocity at the 1.7 m plane (Region I in Figure 12), Region H in the 1 m plane ( Figure 11) differs from that in the 1.7 m plane (Region J in Figure 12). Region H has a more consistent velocity magnitude compared to Region I, where a drop in the magnitude of the velocity has been demonstrated.
The streamlines at the interior plane have been plotted for the 1 m and 1.7 m planes (Figures 13 and 14, respectively) for Cardiff, Doha and Amman. Streamlines are the fluid particle paths. Thus, they provide a visualization of the distribution of the air in the space. The locations with minimal velocities are also identified. These correspond to the regions with lower likelihood of spreading airborne viruses, such as SARS-CoV-2 [16,17]. Those locations correspond to the points where the velocity magnitude gradually decreases to approximately 0 m/s. Those locations are defined here as the near-zero-velocity regions. Correlating these regions to the potential of deploying air purifiers, it is recommended to avoid choosing those locations as those locations correspond to 'safe' regions. On the other hand, air purifiers could be deployed at locations with high velocity to maximise the airflow rate enters the air purifiers. As shown in Figures 13 and 14, the centre of safe near-zerovelocity regions (SNZVR) has been identified for the 1 m and 1.7 m planes, respectively.
In addition, a 70% household limit of the maximum velocity has been used to propose the locations to deploy air purifiers. Those locations have been defined as the air-purifier regions (APR). As shown in Figures 13 and 14, the streamline patterns at the 1 m follow closely the patterns in the 1.7 m plane. However, by comparing the case with the windowwindcatcher to the case without the window-windcatcher, it is noted that the SNZVR in Region K without the window-windcatcher ( Figure 12) is split into two smaller SNZVR when the window-windcatcher is deployed (Region L). This is attributed to the fact that the window-windcatcher directs the air velocity towards the center, thus splitting the SNZVR. The interaction of the interior and exterior plane streamlines has been plotted for the 1 m and 1.7 m planes (Figures 15 and 16, respectively) for Cardiff, Doha and Amman. This helps us understand the interaction with the interior plane. As shown in Region M of Figure 15, the window-windcatcher has redirected the shear wind towards the interior plane of the building. However, it can be seen that some high-velocity wind streamlines (Region N) are not directed towards the internal plane of the building. This essentially suggests that the WWC design could be further optimized to enhance its aerodynamic capabilities. The WWC design optimization could include the depth of the WWC, the angles of the slanted fins and the number and thickness of the fins.
By comparing the 1 m plane in Figure 15 to the 1.7 m plane in Figure 16, we see that the streamline patterns are quite similar. Nevertheless, comparing the Cardiff case to Amman and Doha, it is noted that the velocity in the building is higher. This is due to the fact that the average wind velocity in Cardiff is higher than the other two cases of study. Another crucial point to note is that, in Region O, where the window-windcatcher has not been deployed (compare to region M), most of the shear wind streamlines are not directed towards the interior plane of the building. This suggests that the ventilation rate could be further increased by installing more than one WWC in Region O. Optimizing the number and positions of WWCs for a given space could significantly enhance the ventilation rate; this is another direction for future work.   In addition, a 70% household limit of the maximum velocity has been used to propose the locations to deploy air purifiers. Those locations have been defined as the air-purifier regions (APR). As shown in Figures 13 and 14, the streamline patterns at the 1 m follow closely the patterns in the 1.7 m plane. However, by comparing the case with the windowwindcatcher to the case without the window-windcatcher, it is noted that the SNZVR in Region K without the window-windcatcher ( Figure 12) is split into two smaller SNZVR when the window-windcatcher is deployed (Region L). This is attributed to the fact that the window-windcatcher directs the air velocity towards the center, thus splitting the SNZVR. The interaction of the interior and exterior plane streamlines has been plotted for the 1 m and 1.7 m planes (Figures 15 and 16, respectively) for Cardiff, Doha and Amman. This helps us understand the interaction with the interior plane. As shown in Region M of Figure 15, the window-windcatcher has redirected the shear wind towards the interior plane of the building. However, it can be seen that some high-velocity wind streamlines (Region N) are not directed towards the internal plane of the building. This essentially suggests that the WWC design could be further optimized to enhance its aerodynamic  Figure 16 displays the average turbulence kinetic energy of the two interior planes, 1 m and 1.7 m. It can be noted that the window-windcatcher has slightly increased the average turbulence kinetic energy at both planes, in all three cases of study. However, as discussed in Section 3.1, the turbulence kinetic energy increases in the regions that are less likely to be occupied by residents. The increase in the turbulence kinetic energy is directly caused by the increase in the velocity at those planes, as highlighted in Figure 17.

Quantitative Analysis
By correlating the average turbulence kinetic energy results in Figure 17 to the velocity results in Figure 18, in a case study with low average velocity (i.e., Amman), it can be noted that the window-windcatcher effect of increasing the turbulence energy is less significant than in the other two cases. This is due to the lower wind speed compared to the other two cases.
Buildings 2022, 12, x FOR PEER REVIEW 18 capabilities. The WWC design optimization could include the depth of the WWC, th gles of the slanted fins and the number and thickness of the fins. By comparing the 1 m plane in Figure 15 to the 1.7 m plane in Figure 16, we se the streamline patterns are quite similar. Nevertheless, comparing the Cardiff case to man and Doha, it is noted that the velocity in the building is higher. This is due to th that the average wind velocity in Cardiff is higher than the other two cases of study other crucial point to note is that, in Region O, where the window-windcatcher ha been deployed (compare to region M), most of the shear wind streamlines are not dir towards the interior plane of the building. This suggests that the ventilation rate cou further increased by installing more than one WWC in Region O. Optimizing the nu and positions of WWCs for a given space could significantly enhance the ventilation this is another direction for future work. As shown in Figure 19, the ventilation rates using the window-windcatcher have increased for the three case studies compared to those without the window-windcatcher. In all three case studies, the ventilation rate using the window-windcatcher was increased by approximately 9% compared to the case without the window-windcatcher.
As discussed in Section 2, the ventilation rate has been evaluated against the required ventilation rate (Q required ) as per ASHRAE standards [30]. The acceptable ventilation rate in the studied residential building was estimated using Equation (6) [30] (i.e., approximately 168.5 L/s). The actual ventilation rate (Q actual ) has been estimated computationally using ANSYS, and the ventilation performance has been benchmarked by the actualto-required ventilation ratio (n Q ) using Equation (7) [30]. As shown in Figure 19, the window-windcatcher for Cardiff has managed to increase the actual-to-required ventilation ratio by approximately 9% compared to the case without the window-windcatcher (n Q increased from 96.7% to 106%). For Amman and Doha, n Q has increased by approximately 6% (from 61.5% to 67.5%) and 7% (from 70% to 77.3%), respectively (Figure 20).   Figure 16 displays the average turbulence kinetic energy of the two interior plane 1 m and 1.7 m. It can be noted that the window-windcatcher has slightly increased the average turbulence kinetic energy at both planes, in all three cases of study. However, discussed in Section 3.1, the turbulence kinetic energy increases in the regions that are less likely to be occupied by residents. The increase in the turbulence kinetic energy is directly caused by the increase in the velocity at those planes, as highlighted in Figure  17. By correlating the average turbulence kinetic energy results in Figure 17 to the velocity results in Figure 18, in a case study with low average velocity (i.e., Amman), it can be noted that the window-windcatcher effect of increasing the turbulence energy is less significant than in the other two cases. This is due to the lower wind speed compared to the By correlating the average turbulence kinetic energy results in Figure 17 to the velocity results in Figure 18, in a case study with low average velocity (i.e., Amman), it can be noted that the window-windcatcher effect of increasing the turbulence energy is less significant than in the other two cases. This is due to the lower wind speed compared to the other two cases. As shown in Figure 19, the ventilation rates using the window-windcatcher have increased for the three case studies compared to those without the window-windcatcher. In all three case studies, the ventilation rate using the window-windcatcher was increased by approximately 9% compared to the case without the window-windcatcher. As discussed in Section 2, the ventilation rate has been evaluated against the required ventilation rate ( ) as per ASHRAE standards [30]. The acceptable ventilation rate in the studied residential building was estimated using Equation (6) [30] (i.e., approximately 168.5 L/s). The actual ventilation rate ( ) has been estimated computationally using ANSYS, and the ventilation performance has been benchmarked by the actual-torequired ventilation ratio ( ) using Equation (7) [30]. As shown in Figure 19, the windowwindcatcher for Cardiff has managed to increase the actual-to-required ventilation ratio by approximately 9% compared to the case without the window-windcatcher ( increased from 96.7% to 106%). For Amman and Doha, has increased by approximately 6% (from 61.5% to 67.5%) and 7% (from 70% to 77.3%), respectively ( Figure 20). As discussed in Section 2, the ventilation rate has been evaluated against the required ventilation rate ( ) as per ASHRAE standards [30]. The acceptable ventilation rate in the studied residential building was estimated using Equation (6) [30] (i.e., approximately 168.5 L/s). The actual ventilation rate ( ) has been estimated computationally using ANSYS, and the ventilation performance has been benchmarked by the actual-torequired ventilation ratio ( ) using Equation (7) [30]. As shown in Figure 19, the windowwindcatcher for Cardiff has managed to increase the actual-to-required ventilation ratio by approximately 9% compared to the case without the window-windcatcher ( increased from 96.7% to 106%). For Amman and Doha, has increased by approximately 6% (from 61.5% to 67.5%) and 7% (from 70% to 77.3%), respectively ( Figure 20). However, for Amman and Doha, although the actual-to-required ventilation ratio was increased using the window-windcatcher, the actual-to-required ventilation ratio is still less than 100%, that is, the actual ventilation rate is still lower than the required ventilation rate needed to fulfill the ASHRAE standards [30]. This suggests that deploying another window-windcatcher is necessary (possibly at Region O, as indicated in Figure   Figure 20. The actual-to-required ventilation ratio using Window-WindCatcher (WWC) and Without Window-WindCatcher (WWWC). However, for Amman and Doha, although the actual-to-required ventilation ratio was increased using the window-windcatcher, the actual-to-required ventilation ratio is still less than 100%, that is, the actual ventilation rate is still lower than the required ventilation rate needed to fulfill the ASHRAE standards [30]. This suggests that deploying another windowwindcatcher is necessary (possibly at Region O, as indicated in Figure 14). On the other hand, for Cardiff, the ASHRAE standards are fulfilled using only one window-windcatcher since the actual-to-required ventilation ratio is higher than 100% (i.e., n Q = 106%).

Quantitative Analysis
To investigate how the performance of the window varies with boundary conditions, the actual ventilation rates of the three cities (which correspond to three different boundary conditions of wind velocities) are plotted against the total wind velocity in Figure 21. As the wind velocity increases, the window-windcatchers performance improves. In Figure 22, we plot the actual-to-required ventilation ratio of each city against the wind velocity (TWV), which also increases as the wind velocity increases. window-windcatcher since the actual-to-required ventilation ratio is higher than 100% (i.e., = 106%). To investigate how the performance of the window varies with boundary conditions, the actual ventilation rates of the three cities (which correspond to three different boundary conditions of wind velocities) are plotted against the total wind velocity in Figure 21. As the wind velocity increases, the window-windcatchers performance improves. In Figure 22, we plot the actual-to-required ventilation ratio of each city against the wind velocity (TWV), which also increases as the wind velocity increases.  By utilizing the curve-fitting tool of Matlab "cftool", we determine the relationships (8) and (9) which describe, respectively, the actual ventilation rate and the actual-to-required ventilation ratio against the wind velocity: These relationships could then be applied to other geographical locations. In this study, we focus attention to specific regions and boundary conditions (in Amman, Doha and Cardiff); additional locations and hence boundary conditions could be investigated window-windcatcher since the actual-to-required ventilation ratio is higher than 100% (i.e., = 106%). To investigate how the performance of the window varies with boundary conditions, the actual ventilation rates of the three cities (which correspond to three different boundary conditions of wind velocities) are plotted against the total wind velocity in Figure 21. As the wind velocity increases, the window-windcatchers performance improves. In Figure 22, we plot the actual-to-required ventilation ratio of each city against the wind velocity (TWV), which also increases as the wind velocity increases.  By utilizing the curve-fitting tool of Matlab "cftool", we determine the relationships (8) and (9) which describe, respectively, the actual ventilation rate and the actual-to-required ventilation ratio against the wind velocity: These relationships could then be applied to other geographical locations. In this study, we focus attention to specific regions and boundary conditions (in Amman, Doha and Cardiff); additional locations and hence boundary conditions could be investigated By utilizing the curve-fitting tool of Matlab "cftool", we determine the relationships (8) and (9) which describe, respectively, the actual ventilation rate and the actual-to-required ventilation ratio against the wind velocity: These relationships could then be applied to other geographical locations. In this study, we focus attention to specific regions and boundary conditions (in Amman, Doha and Cardiff); additional locations and hence boundary conditions could be investigated in future studies.

Discussion
The purpose of this study was to investigate, using CFD, the effectiveness of a novel window-windcatcher device that could be mounted on the exterior walls of new or existing buildings in order to capture and redirect prevailing wind into interior spaces. The proposed design could replace or supplement the typical large-scale windcatchers by utilising small-scale decentralised windcatchers on exterior walls as a window component. The suggested window-windcatcher is among the passive cooling approaches that have been shown in several studies to provide outstanding thermal comfort and indoor air quality while consuming only a fraction of the energy used by mechanical air conditioning systems [6]. Natural ventilation is one of the most popular passive cooling design strategies for improving indoor air quality and thermal comfort. The effectiveness of natural ventilation and passive cooling in buildings could be improved by using this new device, resulting in better indoor air quality and environmental comfort.
Furthermore, ensuring high indoor air quality is essential in mitigating the spread of COVID-19 and other viral diseases. Increasing air velocity is the most common way to increase ventilation rates; however, increasing ventilation rate increases turbulence kinetic energy. As a result, it is critical to keep the increase in turbulence kinetic energy as low as possible. In addition, high turbulence kinetic energy regions have been carefully identified to facilitate potential mitigation measures, such as the use of air purifiers in high turbulence/mixing areas (Figures 9 and 10).
By plotting the streamlines in Figures 15 and 16, the effect of the window-windcatcher on the airflow streamlines has also been evaluated. Streamlines trace fluid paths and, as a result, contribute to the understanding of the indoor air distribution. They also visualise the regions with the lowest velocities, and, therefore, with a lower risk of spreading airborne viruses like SARS-CoV-2 [16,17]. At those locations, the velocity magnitude gradually decreases to approximately 0 m/s; Figures 13 and 14 show the near-zero-velocity regions. By relating these regions to the possibility of deploying air purifiers, it is suggested that these locations should be avoided, as they correspond to 'safe' regions. Air purifiers, on the other hand, should be placed in areas with high velocity to maximise the airflow rate into the purifiers. In Figures 13 and 14, those locations have been labelled as air-purifier regions (APR).
Furthermore, we looked at the interaction of the interior and exterior planes' streamlines. Understanding the fluid interaction with the interior plane requires plotting the streamlines for the exterior planes. We also identified potential locations to place the window-windcatcher in order to increase the ventilation rate. The window-windcatcher redirects the shear wind towards the building's interior plane, as shown in region M of Figure 14. However, some high-velocity wind streamlines (Region N) are not directed towards the building's interior plane. This implies that the window-windcatcher design could be further improved in future work in order to enhance its aerodynamic capabilities.
Another important point is that, unlike Region M, where the window-windcatcher was not deployed, most of the shear wind streamlines are not directed towards the interior plane of the building in Region O ( Figure 14). This means that, by deploying another window-windcatcher in Region O, the ventilation rate could be increased. According to the quantitative analysis (Section 3.2), the window-windcatcher has slightly increased the average turbulence kinetic energy at both planes in the three cases studied. The increase in turbulence kinetic energy, on the other hand, occurred in areas that are less likely to be occupied by people. However, the ventilation rate was compared to the required ventilation rate Q required ) as specified by the ASHRAE standards [30]. Compared to the case without the window-windcatcher (n Q from 96.7 percent to 106 percent), the window-windcatcher managed to increase the actual-to-required ventilation ratio by approximately 9%. The actual-to-required ventilation ratio was increased by approximately 6% (from 61.5 percent to 67.5 percent) and 7% (from 70 percent to 77.3 percent) in the Amman and Doha cases, respectively.

Conclusions
This research aimed to investigate, using ANSYS CFX, the effectiveness of a design of a novel window-windcatcher device to be mounted on the exterior walls to capture the prevailing wind and redirect it into interior spaces. The performance of the proposed window-windcatcher has been evaluated in comparison to a control case (without a window-windcatcher) in three different geographical locations (Cardiff, Doha and Amman). The proposed window-windcatcher has proven to enhance thermal comfort and indoor air quality by increasing the actual-to-required ventilation ratio as per the ASHRAE standards by approximately 9% compared to the case without the window-windcatcher (n Q from 96.7% to 106%). For Amman and Doha, the actual-to-required ventilation ratio was increased by approximately 6% (61.5% to 67.5%) and 7% (70% to 77.3%), respectively.
In addition, the location with minimal velocities has been identified by plotting the streamlines. Those locations correspond to the regions with a lower likelihood of spreading viral diseases such as COVID-19. Regarding the potential of deploying air purifiers, airpurifier regions (APR) with high velocity, where the airflow rate entering the air purifiers is increased, have been identified.
For future work, a prototype is recommended to be manufactured and tested in a wind tunnel to further examine the aerodynamic performance of the window-windcatcher.