Elements for the Successful Computer Simulation of Sediment Management Strategies for Reservoirs

: Computer simulation of reservoir sediment management strategies is becoming more important as worldwide water supply shrinks due to sediment deposition, while population growth continues. We identified the physical processes underlying each of the several alternatives available to transport incoming or deposited sediments downstream into receiving waters and the governing equations that describe each process. The purpose of this paper is to understand how physical characteristics of reservoir sediment management can be simulated with available computer codes. We described commonly available computer codes and their abilities to solve the appropriate equations in one, two, or three dimensions. The results revealed that one dimensional models are most appropriate for long ‐ term simulations of the evolving reservoir bottom profile, while two or three dimensional codes are more appropriate for simulating density currents and detailed lateral movement of sediments, such as during local pressure flushing near reservoir outlets. We conclude that existing codes can successfully simulate sediment management, but because each code has limitations, they require seasoned judgment in their choice, application, and interpretation. Incorporating sediment prediction and management correctly into the planning, design, and operational phases of dam projects is essential for ensuring that the benefits of reservoir storage are sustained over the long term. The implications of our key findings are that sediment management strategies can be successfully simulated and that such simulations should be performed for our aging dams and newly proposed projects.


Introduction
The design of a reservoir project entails the determination of the required storage capacity over multiple years [1]. Reservoir storage space is a key factor for production of water and so-called renewable energy supply, and it is becoming increasingly important as water demand and climate change-related stresses increase and as suitable storage sites become scarce [2].
Within any geographic area, the rate of storage loss due to sedimentation will vary widely because of differences in soils, land cover, and land use [3]. Sediment management ultimately is site specific and most urgent at reservoirs whose storage has been dramatically reduced. For example, in Switzerland, due to low sediment inflow and repeated sediment venting, the average annual loss in reservoir capacity is only 0.2% [4], while in China, due to high sediment inflow rates, the mean annual loss rate in storage capacity is 2.3% [5]. Estimates show that about 0.5% to 1% of the total volume of global reservoir storage is lost annually [6]. This means that without further action, one quarter of all dams will lose their storage to sedimentation in the next 25 to 50 years [7], but negative upstream and downstream impacts are manifest well before all storage is lost.
Reservoirs, as a vital component of water infrastructure, are thus non-sustainable, and mitigation measures are urgently needed to increase project lifetimes [8] and switching to sustainable infrastructure. The prediction of sediment yield, deposition, and erosion associated with reservoirs is therefore critical, including simulating the various sediment management alternatives (to be discussed shortly). Although, those alternatives have the common purpose of achieving sustainable reservoir storage, better understanding the elements associated with each will enhance benefits and the effectiveness of reservoir operations. Each sediment management alternative has unique physical characteristics and simulation of these alternatives is not straightforward. The purpose of this paper is to understand how physical characteristics of sedimentation in reservoirs can be simulated with available computer codes. "Code" in this paper refers to the compiled program used to simulate sediment management scenarios. Such simulations are referred to as models. This evaluation is addressed through governing equations and explaining features of one-and multi-dimensional codes. Incorporating sediment prediction and management correctly into the planning, design, and operational phases of dam projects is essential for ensuring that the benefits of reservoir storage are sustained well into the future.
Our materials and methods are described in the next three sections where we formulate the physical processes foundational to each sediment management alternative. Understanding the dominant physical processes for each sediment management option is the first step toward an efficient simulation. Next are presented the governing equations that describe the physical processes and the commonly available computer codes for simulating them. The results follow with citations of successful simulation studies using the identified codes. Published reservoir sediment management simulation studies demonstrate which computer codes can be used for reservoir sediment simulation. Finally, the discussion section summarizes the main findings relevant for all the management alternatives and their unique features.

Physical Processes Associated with Sediment Management Alternatives
The many methods of managing reservoir sedimentation are summarized in Figure 1 and are divided into three major categories: reducing sediment yield, routing sediments, and removing or redistributing sediments [9]. The cost and applicability of each strategy is function of site geometry and the volume of sediment accumulation.
The fourth group focuses on increasing reservoir storage without manipulating sediment. However, even the largest reservoirs will eventually require sediment management or be decommissioned [3]. Monitoring shown as a separate function is crucial to track both loss and recovery of reservoir storage.  [9].
Successfully simulating reservoir sediment management strategies depends on a sound understanding of the physical processes that govern each technique. The successful simulation requires suitable and comprehensive knowledge about the alternative we want to simulate. For example, a mistake in estimating sediment inflow into a reservoir especially during flood events produces incorrect bed elevations in the reservoir and an incorrect simulation of sediment flushing [10]. Operational conditions for each alternative are also crucial. For example, according to the feasibility study carried out by Consorcio PCA (2012), the minimum outflow from a bottom outlet to achieve efficient flushing should be at least twice the annual mean flow [11].
Simulating the topographic surface to represent the bottom geometry during operation is one of the most important aspects of any reservoir model simulation. Moreover, reservoir pool elevation and configuration has a major influence on hydraulic behavior and the pattern of sediment deposition in reservoirs [3].
Although every computer code has assumptions and constraints, which impact accuracy, users must recognize the main and governing physical processes underlying sediment management techniques, so they can more successfully select the appropriate computer code to simulate the condition. Table 1 presents the dominant physical processes for alternatives in Categories 2 and 3 of Figure  1, both of which emphasize transporting sediments downstream from the dam. Category 1, Reducing Sediment Yield, is beyond the scope of this paper. A summary and brief discussion of the equations of motion for water and sediment that describe the physical processes of Table 1 is discussed next, followed by a description of codes found capable of solving such equations.

Summary of Basic Equations
Two mathematical approaches can be used to describe water and sediment transport. One is the two-fluid model that considers water and sediment as two fluids and uses the continuity and momentum equations for each fluid. The two-fluid model is, however, quite complex [12], and will not be considered further. The other approach is the diffusion model that evaluates the transport and dispersion of sediment particles in the water column and uses the continuity and momentum equations for the sediment-laden flow and the diffusion equation for sediment grains. The flow and sediment transport equations presented here are based on the diffusion model. All variables are defined in the notation section.

Three-Dimensional
The equations governing bottom adjustment and the turbulent transport of a water and sediment mixture with density and velocity ⃗ , , vector in a Cartesian coordinate system ( , , ) over time are given below.
Mass Conservation: (1) Momentum Conservation: where is pressure, is eddy viscosity, and is gravitational acceleration. Note, that the gravity force is the only external body force considered in the above equation.
Sediment Advection-Diffusion Transport: where is volumetric sediment concentration, is sediment particle fall velocity, and and is eddy diffusivity of sediment particles. The net flux of sediment particles between the flow and bottom ( , where is deposition rate of sediment onto the bed, is the near-bed sediment concentration, is entrainment rate of sediment from the bed, and is the equilibrium near-bed sediment concentration) is imposed as a boundary condition.
Bed Sediment Mass Conservation: (6) where is porosity and is bottom elevation.

Two-Dimensional
The equations describing the transport of water and sediment in two dimensions are derived by integrating the above three-dimensional Equations (1)-(5) across the water depth ℎ. Depth-averaged variables are indicated by an overbar.
Mass Conservation: Momentum Conservation: where and are the shear stresses acting on the water surface and channel bottom, respectively. The subscripts and indicate the components in -and -direction, respectively. Sediment Advection-Diffusion Transport: Bed Sediment Mass Conservation: The net flux of sediment between flow and bottom can also be written as: where ⃗ and ⃗ are the vectorial bed load and suspended load transport rates, respectively.

One-Dimensional
The equations describing the transport of water and sediment in one dimension along the downstream direction ( ) are derived by integrating the above two-dimensional Equations (7)-(10) across the flow width. Cross sectional-averaged variables are indicated by a double overbar.
Mass Conservation: (13) where is flow area and is discharge. Momentum Conservation: (14) where and are bed slope and friction slope, respectively. Sediment Advection-Diffusion Transport: * (15) where  is a dimensionless coefficient that characterizes the rate at which the new carrying capacity ̿ * is attained. Bed Sediment Mass Conservation: (16) where and are bed load and suspended load transport rate, respectively.

Codes Used for Reservoir Sediment Management Assessment: Capabilities and Limitations
A summary of the features of commonly available computer codes features, generally based on the governing equations listed in the previous section is presented below.

One-Dimensional Models
Most of the sediment transport models used for long-term simulation of a long river reach are one dimensional [13]. One-dimensional models generally require the least amount of field data for calibration and testing. Numerical solutions are more stable [13], and require the least amount of computer time and capacity, are appropriate for narrow reservoirs and long term simulations and multiple alternative analyses [14].
In one-dimensional modeling, the solution of the sediment continuity equation provides a change in the cross-sectional area at each cross section and allocates changes to each wetted coordinate point across the cross section. Different computational models approach the allocation calculation differently. Consequently, the shape of the cross section is not a question to address with a one-dimensional sediment model because elevation changes are not uniformly applied across the wetted cross section [15].
A horizontal deposit is more likely in reservoir deposition with the bed material load depositing in the original channel section first. After filling the submerged channel feature, the water-sediment mixture expands laterally outwards. When the reservoir level falls the channel will cut through the delta deposit in perhaps, some new location [15]. However, unless there is a major change in the inflow, the width and depth of the new channel will be very similar to that of the original channel. Consequently, a carefully constructed one-dimensional model is able to predict delta growth and the resulting water surface elevations even though it does not mimic the deltaic channel avulsion process [15].
One of the most widely used one-dimensional computer codes is the U.S. Army Corps of Engineers Hydrologic Engineering Center-River Analysis System (HEC-RAS). Key advantages of this code include extensive documentation, continuing support and development by the Hydrologic Engineering Center, a long history of use, familiarity to many reviewing agencies, and availability of training by the engineering community at large [16].
The Generalized Stream Tube model for Alluvial River Simulation (GSTARS) code can predict channel geometry in an apparent quasi two-dimensional manner by using the stream tube concept. GSTARS hydraulic calculations can be done in either a steady or unsteady mode; the hydraulic and sediment transport calculations, however, are performed in an uncoupled manner [17]. GSTARS does not consider sediment interchange between stream tubes.
The Rhone 1-D model developed by Irstea (National Institute for Environmental and Agricultural Science and Research) as part of the OSR (Observatoire sediments Rhone) program in France, to understand the spatial and temporal variability of the suspended sediment dynamics over the entire length of the river [18].

Two-Dimensional Models
Huang et al [19] stated 2-D models can fairly simulate lateral but hardly simulate vertical particle movements in a reservoir as the fall velocity term is ignored in Equation (7). However, decomposing the total sediment load into bedload and suspended load can improve sediment management assessment. All 2-D models can predict the total sediment transport load; but few models, e.g., MOBED2 (Mobile BED), USTARS (Unsteady Sediment Transport models for Alluvial Rivers Simulations;), FLUVIAL 12, DELFT-2D, and CCHE2D (The National Center for Computational Hydroscience and Engineering) can separate the total sediment load into bedload and suspended load, although some of those are limited to uniform sediment sizes [20].
A major advantage of multi-dimensional models over one-dimensional models is that they provide more details within an area-of-interest by their gridding capabilities. For example, one of the major features of SRH-2D (Sedimentation and River Hydraulics) is the adoption of an unstructured mesh, based on the arbitrarily shaped element method of Lai (2000) [21] for geometric representation. This meshing strategy allows for greater modeling details in areas of interest that ultimately leads to increased modeling efficiency through a compromise between solution accuracy and computing demand [22].
Iber is a free depth-averaged two-dimensional hydraulic model for the simulation of free surface flow in rivers and estuaries. The equations are solved with an unstructured finite volume solver made up of triangle and quadrilateral elements, explicit in time. Dam break, sediment transport considering both, bed and suspended loads, GIS (Geographic information system) integration and mass conservative wetting and drying algorithm are some of main current features of Iber [23].
TELEMAC-2D is used to simulate free-surface flows in two dimensions of horizontal space with computation mesh of triangular elements. TELEMAC-2D offers the user a set of FORTRAN subroutines that can be modified to meet the specific requirements of each model: specification of initial conditions or complex boundary conditions, link-ups with other modelling systems, or introduction of new functions [24].
The numerical software BASEMENT (Basic Simulation Environment) for simulation of hydroand morpho-dynamics is available free of charge. Two maintained versions of the software are currently available which differ in their key features for example arbitrary combination of 1-D and 2-D model domains and different performance concepts [25].
The two-dimensional model of the physiographic soil erosion-deposition (PSED) can accurately estimate discharge hydrographs and suspended sediment transport rates from a watershed to compute sediment yield. This information can be used to quantify the amount of sediments to be flushed and estimating the resulting bed evolution. Since the model utilizes GIS, the hydrological and physiographical factors are processed instantaneously [26] and [10].

Three-Dimensional Models
One-dimensional models are not suitable for simulating local two-or three-dimensional phenomena [13]; an example is local scour, the process which involves three-dimensional fluid forces such as accelerations, pressure fluctuations, and gravity forces on the sediment particles [15]. Turbulence is an essentially three-dimensional phenomenon, and three-dimensional models are particularly useful for the simulation of turbulent heat and mass transport. These models are usually based on the Reynolds-averaged form of the Navier-Stokes (RANS) equations (Equations (1)-(2)), using additional equations of varied degree of complexity for the turbulence closure [13]. Although a 3-D numerical model can describe the flow more practically, it requires significant computing resources and data mining [19]. When the reservoir pool is wide and without a clear, single flow direction, multi-dimensional models should be used [14].
A 3-D simulation can better evaluate flushing operations, especially its early phases [11]. Twodimensional models may not properly simulate: (1) the deltaic sediment dynamics and therefore the movement sediments that could eventually block the bottom outlets; nor (2) the initial pressurized flow in the bottom outlets that occurs during the flushing.
The traditional approach in sediment transport models has been to calculate the transport rate by using a single characteristic grain size, such as the median. Because this approach does not account for transport of sediment particles with different size (or density), it is likely to underpredict or overpredict the transport rate of sediment fractions. Furthermore, most multidimensional models treat flow and sediment processes as entirely uncoupled or semi-coupled within one computational time step. So that the influence of changes in bed elevation and surface bed material size distribution on the flow field can be taken into account only approximately [20].
Among the three-dimensional models, the commercial codes ANSYS FLUENT and FLOW-3D have been used for simulation of reservoir sedimentation. ANSYS FLUENT is a powerful CFD (Computational fluid dynamic) tool, based on the finite volume method with a wide range of applicability (laminar-turbulent, incompressible-compressible, steady-transient), including sediment modeling as well [27]. The FLOW-3D code solves the (RANS) equations discretized by finite differences. It incorporates various turbulence models, a sediment transport model and an empirical bed erosion model with a method for calculating the free surface of the fluid [11].
Freely available codes have also been used to evaluate reservoir sediment management practices. The disadvantages of such codes are that they are not well supported and therefore have limited user adoption-for example, SSIIM (Sediment Simulation in Intakes with Multiblock option) .
Generally, the released manuals and documentation only provide help. SSIIM is a finite volume hydrodynamic and sediment transport model that is based on an unstructured grid system with the ability of simulating sediment transport in a movable riverbed with complex geometries. The model has been extended to such other hydraulic engineering applications as spillway modeling, head loss in tunnels, meandering in rivers, and turbidity currents [20].
Delft3D is a multi-dimensional (2-D or 3-D) hydrodynamic and morphodynamic model for riverine flows, simulations in deep lakes and reservoirs, stratified and density driven flows, thermal stratification in lakes, and reservoirs and transport of dissolved material [28]. MIKE 3 builds on the same solid technology as MIKE 21. Applications include assessment of hydrodynamics for design, construction and operation of structures and plants in stratified waters, coastal, and oceanographic circulation studies, including fine sediment dynamics, lake hydrodynamics, and ecology [29].

Published Simulations of Reservoir Sediment Management
This section describes published simulations of alternatives methods in Categories 2 and 3 of Figure 1 during the last 15 years. Two criteria were used to elect eligible studies: (1) success in simulating the sediment management alternative, and (2) current availability of the computer code (some studies are based on computer codes that are no longer available).
Hydrosuction Sediment Removal System (HSRS) as an alternative in the third category does not require computer simulation and is not included in this section. A summary of the cited simulations is found in Table 2.

Simulation of Longitudinal Sediment Profile in Reservoirs
A longitudinal profile is very useful for visualizing and understanding the sedimentation processes in a reservoir [30]. Both 1-D and multidimensional codes have been used for this purpose. Regarding 1-D applications Gibson and Pridal [31] used HEC-RAS 1D to simulate a 50-year bed elevation profile, while, Amini et al. [32], and Mohammad et al. [33] also used HEC-RAS 1D to examine deposition and transport of the sediment load. The required time for sediment to reach the bottom outlet elevation can be estimated by considering the downstream delta movement as Castillo et al. [34] modeled it using HEC-RAS 1D. Gibson and Boyd [35] demonstrated the advantage of using operational rules and multiple erodible limits in HEC-RAS 1D for modeling sustainable reservoir sediment management options. In addition, other codes such as GSTARS3 have been successfully used to simulate the long-term longitudinal profile by Nohani and Afrous [36]. Launay et al. [37] simulated the spatial and temporal dynamics of suspended particulate matter during floods. For this long-term simulation, they used the Rhone 1-D model.
Omer et al [38] Predicted the long-term evolution of the bed topography using the multidimensional models such as Delft3D. They simulated the fate of incoming sand and silt and the time variations of the bed level of Roseires Reservoir (Sudan).

Route Sediments to Maintain Transport and Minimize Deposition
During periods of high inflows to the reservoir, the discharging of the high flows through the bottom outlets at the dam is performed with the objective of permitting the sediment to be transported through the reservoir as rapidly as possible while minimizing deposition [39].
Sediment pass-through strategies such as venting of turbid density currents through a low-level outlet have been simulated by Mohammadnezhad et al [40] using Mike 3. An and Julien [41] used a particle dynamics algorithm in FLOW-3D, while Georgoulas et al. [42] similarly used the 3-D multiphase numerical modelling within FLUENT. Finally, Huang et al. [43] applied SRH-2D to simulate a density current.
Sediment-laden flows can be bypassed around a reservoir. Lai and Wu [44] used a 2-D layeraveraged version of SRH-2D to simulate the sediment desilting processes at the Shihmen reservoir under various bypass tunnel plans. The SRH-2D code was also used to simulate the bypass tunnel for the Yellowstone river intake by Sixta et al. [22]. Simulation of longitudinal sediment profile in reservoirs Gibson and Pridal [31] Amini et al. [32] Mohammad et al. [33] Castillo et al. [

Remove or Redistribute Sediment Deposits
In contrast to sluicing, whose aim is to pass sediment without allowing it to deposit, drawdown flushing focuses on scouring and re-suspending deposited sediment and transporting it downstream [39]. Gibson and Boyd [45] simulated an unsteady flushing event at Spencer Dam with HEC-RAS 1D. Tagavifar and Adib [46] selected GSTARS3 to simulate flushing through successive Dez dams in Iran. To identify when flushing should be conducted based on the inflow hydrograph, Shooshtari et al. [47] used GSTARS3 based on the inflow hydrograph. GSTARS3 was also used to simulate reservoir sedimentation and flushing by Ahn and Yang [17].
The influence of lowering the reservoir and increasing discharge from upstream on the relocation of fine sediments was addressed using the Iber code by Castellet et al [48]. Chen and Tsai [10] applied PSED for computing sediment flushing efficiency. Removing deposited sediment requires the correct simulation of bed shear stress. Amini et al [32] used BASEMENT 2D to compute bed-level shear stress for different reservoir water surface elevations. Furthermore, Ermilov et al. [27] simulated flushing by TELEMAC.
Scheuerlein et al. [49] used the 3-D code SSIIM and Rodriguez et al. [50] applied FLOW-3D for simulating flushing around a bottom outlet.
Dredging refers to any system used to remove deposited sediment from beneath the water [30]. Simulating dredging deposited sediments was done by reshaping topography at given points using HEC-RAS and a precursor, HEC-6 by USSD [14].

Model Selection
The complexity and capability of morphodynamic codes can vary with the code's abilities to simulate such processes as unsteady flows, bed load, and suspended load, sediment exchange processes, type of sediment (cohesive versus non-cohesive), and multi-fractional sediment transport. Caution should be used when applying riverine transport models to reservoir transport as they often ignore the finest size fractions, which are important for reservoir transport [14].
Selection of a computer code for a given problem is a critical issue, which depends on different criteria. Although each sediment management technique has specific features, there are some common considerations between all kinds of reservoir sedimentation.
Selecting dimensionality is related to spatial and temporal desired solution resolutions. Onedimensional codes are suitable for long-term simulation. The excessive run time for multidimensional codes limits their application to short-term simulation or where the detailed solutions for critical points within the reservoir is more important than computational cost.
Appropriate determination of reservoir geometry, sediment grain size distribution, type of sediment (cohesive versus non-cohesive) and sediment transport formula influence the accuracy of results. For example, erosion and deposition prediction for multi-sized sediment is more realistic than using only the median size, which can lead to overprediction or underprediction of the transport of the fine or coarse fraction of a sediment mixture.
Beyond the mentioned characteristics, model user friendliness, support, and access are important to select a model. However, each sediment management alternative has crucial considerations described below.

Route Sediments (Maintain Transport, Minimize Deposition)
Routing of sediment through the reservoir pool is somewhat more complex as the erosion, transport, and deposition processes will need to be simulated, and these will change in space and time during the simulation [14].

Sediment Bypass Tunnel
Simulation of sediment transport in a bypass tunnel considers supercritical flow and the impact of bedload transport on the erosion of lining materials. A controlling parameter is the sediment input at the intake. Some codes use a"flow weighted" assumption to divert the same percentage of water and sediment at the intake. Users can limit the sediment diversion through a threshold grain class. Grain classes smaller than the threshold value divert according to the flow-weighted assumption, whereas coarser grain classes may not be diverted. This can be accomplished using one-dimensional models. Multi-dimensional models are not necessary unless detailed information at special points such as the intake is required.

Turbidity Current
Turbidity currents are the most difficult phenomena to simulate in reservoir sediment management. Vertical gradients in sediment concentration and temperature lead to stratified conditions with interactions between layers (entrainment). This process can be simulated by multilayered codes, possibly including equations such for the suspended sediment concentration profile to represent better interaction between layers. For even more detail, a particle dynamics algorithm can be employed to increase the efficiency of turbidity current simulation.

Dredging
Mechanical removal or excavation is the most common form of dredging. This alternative is useful for some areas, but mechanical equipment and heavy vehicles play an important role in the success of this management practice, which provides the primary force for sediment transportation. One mechanism is to take sediment at the upstream end of the reservoir and move it to below the dam. Modeling this scenario includes computing the quantities of sediment and grain size distribution at the point of extraction and then taking those quantities as inputs to the system at a point below the dam [14]. As far as the dam owner can afford the mechanical removal expenses, they can extend reservoir lifetime and reduce reservoir sedimentation. The few simulations found for mechanical removal are limited to case studies simulating the deposition pattern within the reservoir after dredging.

Flushing
The most frequent simulated sediment management alternative is reservoir flushing. Onedimensional codes have successfully simulated flushing hydrodynamics and reservoir topographic adjustment. One-dimensional codes averaged values in a cross-section and are therefore not suitable for answering questions about local variations around the outlet gate or scour cone variation during flushing. Multi-dimensional codes work better with the variation of sediment-laden flow and relocation of fine sediments at an area of interest, but are currently only practical for event-type simulations as opposed to seasonal or multi-year time frames.
There is no predetermined prescript that guarantees the success of a simulation. The interaction between water and sediment is a consistent phenomenon that can be simulated efficiently if available limitations for simulation will be known and users or decision makers select a computer code more appropriate for predominant features.

Conclusions
Selecting the best sediment management alternative and evaluating its effectiveness using computer codes is important for operating the reservoir and extending its lifetime. Several computer codes with varying abilities and constraints have successfully been used to support these steps. We described the dominant physical processes associated with each sediment management alternative and reviewed the underlying equations of motion to better match codes with simulation alternatives.
The published simulations have been presented and important criteria for selecting a computer code to simulate each sediment management strategy were explained. To select the right code and the required accuracy level, the model users in accordance with their research objectives as well as human, technical, and financial resources, should narrow their selection circle.
One-dimensional codes are generally adequate for the long-term simulation of downstream delta movement, defining the time for sediment to reach bottom outlets, the longitudinal sediment profile during sluicing and flushing, and the subsequent deposition pattern within the reservoir after dredging. These codes are suitable when field data are limited and laterally-averaged results at cross sections are satisfactory.
A vertically averaged two-dimensional code can simulate lateral variations better than vertical changes. These models can be used for successful turbidity current simulation if extra assumption and equations are applied to describe sediment entrainment between layers.
Twoand three-dimensional codes provide more details within an area-of-interest due to their gridding capabilities. Such codes can be used to simulate wide reservoirs that lack a clear, single flow direction or channel. Indeed, they are appropriate for detailed solutions for critical points-but require excessive run times. Three-dimensional models are particularly useful for simulating the local scour and re-suspension of deposited sediment during pressurized flushing through bottom outlets.
Finally, these findings are based on current knowledge of computer codes, as more progress in computer codes are made, an updated study is required. In particular, it would be worthwhile to compare available or future codes regarding the coupling between hydraulic and sediment computations point of view.

Conflicts of Interest:
There is no conflict of interest.

Notation
A flow area c volumetric sediment concentration near-bed sediment concentration equilibrium near-bed sediment concentration ̅ depth averaged concentration ̿ cross sectional-averaged concentration ̿ * new carrying capacity D deposition rate of sediment onto the bed E entrainment rate of sediment from the bed g gravitational acceleration h water depth pressure vectorial bed load rate suspended load transport rate Q discharge bed load transport rate suspended load transport rate bed slope friction slope t time u flow velocity components in x direction depth-averaged flow velocity components in x direction cross sectional-averaged flow velocity components in x direction v flow velocity components in y direction ̅ depth-averaged flow velocity components in y direction w flow velocity components in z direction sediment particle fall velocity bottom elevation  dimensionless coefficient that characterizes the rate at which the new carrying capacity is attained  density of sediment water mixture the eddy diffusivity of sediment-particle transport depth-averaged the eddy diffusivity of sediment-particle transport porosity of bed sediment shear stresses acting on the channel bottom (i = x, y) shear stresses acting on the water surface (i = x, y) eddy viscosity