Shallow Water Equations

In this study, we simulate submarine landslide using the one-dimensional conservative form of the nonlinear shallow water equations (NSWE) in (b s,) coordinate. Where b and s are the elevations of debris bottom and surface, respectively.

7p viohoyo 25-04-2024 5 2   Download

Continued part 1, part 2 of ebook "Front tracking for hyperbolic conservation laws" provides readers with contents including: Chapter 5 - The riemann problem for systems; Chapter 6 - Existence of solutions of the cauchy problem; Chapter 7 - Well-posedness of the cauchy problem; Chapter 8 - Conservation laws with discontinuous flux functions;...

291p lytamnguyet 04-08-2023 8 4   Download

The model was applied to the study long wave propagation on uneven bathymetries, after that, compared with analytical solutions or published numerical ones to understand more about the interaction processes between the long wave and sea beach or island in terms of water and velocity profiles. Very good agreement is observed in the figures bellow, showing good application prospect.

3p vicaptainmarvel 21-04-2023 7 4   Download

This study proposes a numerical model based on the depth-integrated non-hydrostatic shallow water equations with an improvement of wave breaking dissipation. Firstly, studies of parameter sensitivity were carried out using the proposed numerical model for simulation of wave breaking to understand the effects of the parameters of the breaking model on wave height distribution. The simulated results of wave height near the breaking point were very sensitive to the time duration parameter of wave breaking. The best value of the onset breaking parameter is around 0.

18p caygaocaolon6 22-07-2020 26 1   Download

In this paper, we studied the progression of shallow water waves relevant to the variable coefficient Korteweg–de Vries (vcKdV) equation. We investigated two kinds of cases: when the dispersion and nonlinearity coefficients are proportional, and when they are not linearly dependent. In the first case, it was shown that the progressive waves have some geometric structures as in the case of KdV equation with constant coefficients but the waves travel with time dependent speed. In the second case, the wave structure is maintained when the nonlinearity balances the dispersion.

7p trinhthamhodang1 16-11-2019 21 0   Download

Numerical simulation have been carried out to observe and predict the mechanisms of stationary mixed flows in a free surface channel combined with a closed conduit. This study has been conducted with a wide range of discharge values, based on a free rectangular channel (4.5x0.98x0.50 m) at the upstream combined with a closed rectangular conduit (4.5 m length), located at the end of the channel. The height of the conduit is fixed at 100 mm and the conduit width is varied to form several other geometrical configurations.

6p caygaocaolon1 13-11-2019 14 3   Download

The aim of this paper is to present an efficient high order accuracy numerical scheme for conservation law on structure grids. The Monotone Upstream Centered Scheme for Conservation Laws (MUSCL) procedure renders the model to preserve the well-balanced property and achieve high accuracy and efficiency for solving nonlinear two dimensional shallow water equations (2DSWE).

7p caygaolon 31-10-2019 24 0   Download

The aim of this paper is to investigate the capability of the 2D and 3D numerical models to simulate sudden dam break flows in the presence of an obstacle. The 2D-FV model is proposed based on Finite Volume method (FVM) to solve shallow water equations. The commercially available CFD software package Flow-3D solved Navier-Stock equations along the volume of fluid (VOF) method to track the location of the free surface at the air water interface.

6p danhvi95 05-12-2018 42 0   Download

The formation and development of fluid mud layer under the both factors of current and wave that often happens in estuaries and coastal areas are studied in detail through numerical simulation on the basis of the 2D shallow water equations for tidal flow, the advection-diffusion equation for cohes.ive sediment transport and the equations for fluid mud transport.

11p chikychiky 01-11-2018 21 0   Download

In this paper the formation and development of fluid mud layer happening in ·estu~ries and coastal areas are studied in detail through. numerical simulation on the basis of the 2D shallow water equations for tidal flow, the advection-diffusin equation for cohesive sediment transport and the equations for fluid mud transport.

10p chikychiky 01-11-2018 34 0   Download

In this paper the numerical method for the shallow water equations is studied. The paper consists of 3 sections. In t he section 1 t he t heoretical basis and software IMECI-L2DBREAK for simulation of the 2D dam-break or dyke-break flows is outlined. In the section 2 some results in verification of the IMECH_2DBREAK by the test cases proposed in the big European Hydraulics Laboratories are shown.

12p thienthanquydu 21-10-2018 28 1   Download

The paper is dedicated to researching a numerical model for dam-break simulation, which is verified through a comparison between calculated results and observed data of two reference tests. The numerical model is applied to simulate the flooding wave for the Malpasset dam-break event, which occurred in southern France in 1959.

8p thihuynh3006 16-03-2018 32 1   Download

A parallel computing model for the numerical solution of the general 20 shallow water equations in conservative form has been developed, tested and implemented in the MPI parallel environment set up on a parallel computer with four 2.8 GHz CPUs in Institute of Mechanics, VAST. The model is based on a Godunov-type numerical scheme, which is devised for 20 unstructured computational meshes, and on a domain decomposition technique.

12p dem_thanh 22-12-2012 52 3   Download

A numerical model using the 1D shallow water equations was developed for the simulation of long wave propagation and runup. The developed model is based on the Finite Volume Method (FVM) with an application of Godunov - type scheme of second order of accuracy. The model uses the HLL approximate Riemann solver for the determination of numerical fluxes at cell interfaces. The model was applied to the simulation of long wave propagation and runup on a plane beach and simulated results were compared with the published experimental data. The comparison shows that the present model has a power...

6p dem_thanh 22-12-2012 45 4   Download

A  numerical  model  based  on  the  2D  shallow  water  equations  was  developed  using  the  Finite Volume Method. The model was applied to the study of long wave propagation and runup  on  a  conical  island.  The  simulated  results  by  the  model  were  compared  with  published  experimental  data  and  analyzed  to  understand  more  about  the  interaction  processes  between  the  long waves and conical island in terms of water profile and wave runup height. The results of the  study confirmed the effects of edge waves on the runup height at the lee side of the island. ...

9p dem_thanh 22-12-2012 53 4   Download