Depth Averaged Models in Hydraulics: Modeling, Numerics and Applications

Abstract submission deadline

31 July 2025

Manuscript submission deadline

30 September 2025

Viewed by

9983

Topic Information

Dear Colleagues,

In hydraulic engineering, free surface water flows are commonly described by means of the shallow water equations (also called the Saint-Venant equations) and closely related models. Despite their simplicity, this description is valid in many applications in hydraulics and as such has a long tradition of providing a scientific basis for engineering practice. To this end, shallow water equations arise in modelling water flows in rivers, canals, lakes, reservoirs, coastal and urban areas and many other situations in which the water depth is much smaller than the horizontal length scale of motion. As such, shallow water and closely related equations are widely used in oceanography and atmospheric sciences to model, among others, hazardous phenomena as hurricanes/typhoons and tsunamis.

This Topic aims to provide a forum for the latest advanses in hydraulic modeling based on the use of shallow water and related models as well as their novel application in practical engineering. Original contributions in the following areas, though not exclusively, will be considered for publication: new conseptual models and applications, flood inundation and routing, sedimend transport and morphodynamic modelling, pollutant transport in water, irrigation and drainage modeling, numerical simulation in hydraulics, novel numerical methods for the shallow water equations and extended models, case studies, and high-performance computing.

Prof. Dr. Anargiros I. Delis
Prof. Dr. Aly Seadawy
Topic Editors

Keywords

Participating Journals

Journal Name	Impact Factor	CiteScore	Launched Year	First Decision (median)	APC
Energies energies	3.0	6.2	2008	16.8 Days	CHF 2600	Submit
Mathematics mathematics	2.3	4.0	2013	18.3 Days	CHF 2600	Submit
Water water	3.0	5.8	2009	17.5 Days	CHF 2600	Submit
Fractal and Fractional fractalfract	3.6	4.6	2017	23.7 Days	CHF 2700	Submit
Fluids fluids	1.8	3.4	2016	21.1 Days	CHF 1800	Submit

Preprints.org is a multidisciplinary platform offering a preprint service designed to facilitate the early sharing of your research. It supports and empowers your research journey from the very beginning.

MDPI Topics is collaborating with Preprints.org and has established a direct connection between MDPI journals and the platform. Authors are encouraged to take advantage of this opportunity by posting their preprints at Preprints.org prior to publication:

1. Share your research immediately: disseminate your ideas prior to publication and establish priority for your work.
2. Safeguard your intellectual contribution: Protect your ideas with a time-stamped preprint that serves as proof of your research timeline.
3. Boost visibility and impact: Increase the reach and influence of your research by making it accessible to a global audience.
4. Gain early feedback: Receive valuable input and insights from peers before submitting to a journal.
5. Ensure broad indexing: Web of Science (Preprint Citation Index), Google Scholar, Crossref, SHARE, PrePubMed, Scilit and Europe PMC.

Published Papers (5 papers)

Order results

Content type Publication Date

Result details

Normal Extended Compact

Journals

All Energies Mathematics Water Fractal Fract Fluids

Show export options expand_more Show export options expand_less

Select all

Export citation of selected articles as:

Plain Text BibTeX BibTeX (without abstracts) Endnote Endnote (without abstracts) Tab-delimited RIS

Error

Oops... you haven't selected anything for export.

Ok

clear

23 pages, 609 KiB  

Open AccessArticle

Modeling of Water Resource Dynamics in SUR Systems Through Generalized Conformable Calculus in Arid Sites in Mexico

by Josué Neftalí Gutierrez-Corona, Luis Alberto Quezada-Téllez, Arturo Torres-Mendoza and Guillermo Fernandez-Anaya

Water 2024, 16(24), 3691; https://doi.org/10.3390/w16243691 - 21 Dec 2024

Cited by 1 | Viewed by 540

Abstract

In this work, we present a comprehensive extension of the Surface–Underground–Recharge (SUR) water supply model through the incorporation of generalized conformable derivatives. This operator enables the capture of more exotic dynamics within the system, enhancing the modeling framework’s ability to simulate complex hydrological [...] Read more.

In this work, we present a comprehensive extension of the Surface–Underground–Recharge (SUR) water supply model through the incorporation of generalized conformable derivatives. This operator enables the capture of more exotic dynamics within the system, enhancing the modeling framework’s ability to simulate complex hydrological interactions. Additionally, we extend the results to the restricted phase spaces of the analyzed dynamical systems, facilitating a deeper qualitative analysis. To achieve this, we augment the dimension of the generalized conformable SUR system, rendering it an autonomous higher-order system. Furthermore, we introduce a novel conformable function, referred to as the generalized linear conformable combination function, which significantly broadens the scope of our modeling capabilities. Thus, this study contributes to the advancement of hydrological modeling, providing a robust tool for analyzing intricate water resource dynamics in specific regions. Full article

(This article belongs to the Topic Depth Averaged Models in Hydraulics: Modeling, Numerics and Applications)

►▼ Show Figures

Figure 1

25 pages, 22684 KiB  

Open AccessArticle

Hydrodynamic Modelling in a Mediterranean Coastal Lagoon—The Case of the Stagnone Lagoon, Marsala

by Emanuele Ingrassia, Carmelo Nasello and Giuseppe Ciraolo

Water 2024, 16(18), 2602; https://doi.org/10.3390/w16182602 - 14 Sep 2024

Viewed by 1004

Abstract

Coastal lagoons are important wetland sites for migratory species and the local flora and fauna population. The Stagnone Lagoon is a coastal lagoon located on the west edge of Sicily between the towns of Marsala and Trapani. The area is characterized by salt-harvesting [...] Read more.

Coastal lagoons are important wetland sites for migratory species and the local flora and fauna population. The Stagnone Lagoon is a coastal lagoon located on the west edge of Sicily between the towns of Marsala and Trapani. The area is characterized by salt-harvesting plants and several archaeological sites and is affected by microtidal excursion. Two mouths allow exchange with the open sea: one smaller and shallower in the north and one larger and deeper in the south. This study aims to understand the lagoon’s hydrodynamics, in terms of circulation and involved forces. The circulation process appears to be dominated mainly by tide excursions and wind forces. Wind velocity, water levels, and water velocity were recorded during different field campaigns in order to obtain a benchmark value. The hydrodynamic circulation has been studied with a 2DH (two-dimensional in the horizontal plane) unstructured mesh model, calibrated with data collected during the 2006 field campaign and validated with the data of the 2007 campaign. Rapid changes in averaged velocity have been found both in Vx and Vy components, showing the strong dependence on seiches. This study tries to identify the main factor that domains the evolution of the water circulation. Sensitivity analyses were conducted to estimate the correct energy transfer between the forcing factors and dissipating ones. A Gauckler–Strickler roughness coefficient between 20 and 25 m^1/3/s is found to be the most representative in the lagoon. To enhance the knowledge of this peculiar lagoon, the MIKE 21 model has been used, reproducing all the external factors involved in the circulation process. Nash–Sutcliffe coefficient of efficiency (NSE) values up to 0.92 and 0.79 are reached with a Gauckler–Strickler coefficient equal to 20 m^1/3/s related to water depth and the Vy velocity component. The Vx velocity component NSE has never been satisfying, showing the limits of the 2D approach in reproducing the currents induced by local morphological peculiarities. Comparing the NSE value of water depth, there is a loss of up to 70% in model predictivity capability between the southern and the northern lagoon areas. This study aims to support the local decision-makers to improve the management of the lagoon itself. Full article

(This article belongs to the Topic Depth Averaged Models in Hydraulics: Modeling, Numerics and Applications)

►▼ Show Figures

Figure 1

20 pages, 7762 KiB  

Open AccessArticle

A Study on the Maximum Scour Depth of River-Crossing Tunnels

by Meiqing Yang, Luojie Feng, Feng Xu, Fencheng Yang, Junhong Zhang, Bingqing Xu, Yuan Lv and Yongjun Huang

Water 2024, 16(15), 2097; https://doi.org/10.3390/w16152097 - 25 Jul 2024

Cited by 1 | Viewed by 1182

Abstract

As urbanization progresses and city populations grow, river-crossing tunnels assume a crucial role in transportation networks, with the maximum scour depth constituting a critical parameter influencing tunnel safety. Using Line 6 of the Nanning Metro in Guangxi, China as a case study, a [...] Read more.

As urbanization progresses and city populations grow, river-crossing tunnels assume a crucial role in transportation networks, with the maximum scour depth constituting a critical parameter influencing tunnel safety. Using Line 6 of the Nanning Metro in Guangxi, China as a case study, a two-dimensional hydrosediment mathematical model was employed to investigate variations in maximum bedrock scouring. This study introduces the concept of critical frequency floods and compares it with urban flood control standards to determine the appropriate flood frequency for calculating maximum bedrock scour depth. The impact of bed sediment particle size on maximum scour depth is quantified, revealing a decrease in scour depth of 0.3 to 0.6 m for every 1 mm increase in particle size. The relationship between bed sedimentation and the Froude number demonstrates an upward-opening parabolic symmetry: lower Froude numbers correspond to relatively stable beds, while higher numbers correlate with an increased amplitude of bed erosion or deposition. The curve’s nadir identifies the critical threshold of the Froude number, facilitating calculation of the channel’s critical water depth. In practical engineering applications, a bed under conditions of critical water depth tends to be more stable, thereby favoring the selection of sites for river-crossing tunnels. Full article

(This article belongs to the Topic Depth Averaged Models in Hydraulics: Modeling, Numerics and Applications)

►▼ Show Figures

Figure 1

18 pages, 9273 KiB  

Open AccessArticle

Numerical Simulation and Application of Radial Steel Gate Structure Based on Building Information Modeling under Different Opening Degrees

by Shaonan Sun, Ruijie Zhang, Xiaojie Liu, Chunlu Liu and Ailing Wang

Water 2024, 16(5), 636; https://doi.org/10.3390/w16050636 - 21 Feb 2024

Cited by 3 | Viewed by 2632

Abstract

The safe and stable operation of the radial gate is highly essential for hydropower stations. As the dynamic load of gate, water flow generally causes the irregular distribution of strength, stiffness, and the stability of the gate structure. Traditional simulation technology is usually [...] Read more.

The safe and stable operation of the radial gate is highly essential for hydropower stations. As the dynamic load of gate, water flow generally causes the irregular distribution of strength, stiffness, and the stability of the gate structure. Traditional simulation technology is usually used to investigate the impact of water flow on gate structure; however, there is a lack of integration and interaction of building information modeling (BIM) and numerical simulation technology to study this issue. Therefore, this paper proposed a computational framework combing BIM and numerical simulation to calculate and analyze the large complex hydraulic radial steel structure. Firstly, the 3D model of the radial gate was established by MicroStation2020, then, the finite element model was output by using it. Secondly, the change laws of strength, stiffness, and stability of the radial gate were analyzed by Ansys-Workbench2020R2 under different opening degrees. The numerical simulation results show that the maximum equivalent stress value was 142.19 MPa, which occurred at the joint between the lower longitudinal beam and the door blade. The maximum deformation was 3.446 mm, which occurred at two longitudinal beams’ middle in the lower part of the panel. When the opening degree is 0.0 m–9.0 m, the natural vibration frequency increases irregularly with the increase in the opening of the gate. Three main vibration modes of the gate vibration were obtained. It proves that it is feasible to analyze the structural performance of radial gates by using BIM and numerical simulation. Finally, the BIM and numerical simulation information management process was established to make the simulation results more valuable. This study expands the application value of BIM and provides a new research idea for large complex hydraulic steel structural analysis. The information management process described in this research can serve as a guide for gate operation and maintenance management. Full article

(This article belongs to the Topic Depth Averaged Models in Hydraulics: Modeling, Numerics and Applications)

►▼ Show Figures

Figure 1

26 pages, 32687 KiB  

Open AccessArticle

A Risk-Based Approach for the Analysis of Flood Impact in Villahermosa (Tabasco, Mexico)

by Mackendy Ceragene, Rosanna Bonasia, Luis Cea and Maria de la O Cuevas-Cancino

Water 2023, 15(22), 3969; https://doi.org/10.3390/w15223969 - 15 Nov 2023

Cited by 1 | Viewed by 3043

Abstract

Floods in Villahermosa are events that have occurred frequently over the centuries, due to the city’s location at the mouth of two of the most powerful rivers in Mexico. Flooding effects on residents have become increasingly damaging over the years as a consequence [...] Read more.

Floods in Villahermosa are events that have occurred frequently over the centuries, due to the city’s location at the mouth of two of the most powerful rivers in Mexico. Flooding effects on residents have become increasingly damaging over the years as a consequence of the increase in frequency and intensity of extreme weather phenomena, in addition to poor land-use planning policies. The increase in population and consequent urban expansion are certainly causes of the problem, which are reflected in poor urban planning policy and in an almost absent perception of risk. In this work, we present a methodology for the construction of flood risk maps based on a hydraulic study, analysis of social vulnerability indexes, calculation of severity indexes and construction of hazard maps. The results of the hydraulic simulations show that relatively frequent rainfall causes floods of the order of 2 m, in agreement with annual observations conducted in Villahermosa. More extreme rainfall can lead to flooding greater than 4 m in marginalized areas of the city. The areas at greatest risk are sections close to the rivers that cross the city, and the estimated economic damage is greater than USD 14 million. Risk maps presented here constitute the first effort of an integrated study to couple flood analysis with the calculation of economic damage in the city of Villahermosa, and provide important tools to conscientize populations in their perception of risk, but also create the basis for a conscious urbanization policy. Full article

(This article belongs to the Topic Depth Averaged Models in Hydraulics: Modeling, Numerics and Applications)

►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less

Select all

Export citation of selected articles as:

Plain Text BibTeX BibTeX (without abstracts) Endnote Endnote (without abstracts) Tab-delimited RIS

 

Error

Oops... you haven't selected anything for export.

Ok

clear

Displaying articles 1-5