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Numerical Investigation Of One-Dimensional Shallow Water Flow And Sediment Transport Model Using Discontinouous Galerkin Method, Farzam Safarzadeh Maleki
Numerical Investigation Of One-Dimensional Shallow Water Flow And Sediment Transport Model Using Discontinouous Galerkin Method, Farzam Safarzadeh Maleki
All Dissertations
A one-dimensional shallow water flow and sediment transport model is developed using a discontinuous Galerkin finite element scheme. As a first step, four different time marching schemes as well as three different slope limiters have been investigated to find the optimum modeling combination. The efficiency and accuracy of the time marching schemes and slope limiters are quantitatively examined using CPU runtime and comparison between the simulated results and theoretical/experimental data. It is found that using the second order Adam-Bashforth time marching scheme and Monotonized Central method leads to most efficient and accurate results. As the second part of this research, …
Discontinuous Galerkin Method For 1d Shallow Water Flow With Water Surface Slope Limiter, Wencong Lai
Discontinuous Galerkin Method For 1d Shallow Water Flow With Water Surface Slope Limiter, Wencong Lai
All Theses
A water surface slope limiting scheme is applied to numerically solve the one dimensional shallow water equations with bottom slope source term. The total variation diminishing Runge-Kutta discontinuous Galerkin finite element method with slope limiter schemes based on water surface and water depth are investigated for solving one-dimensional shallow water equations. For each slope limiter, three different Riemann solvers based on HLL, LF, and Roe flux functions are used. The three different solvers with slope limiters based on water surface and water depth are applied to simulate idealized dambreak problem, hydraulic jump, quiescent flow, subcritical flow, supercritical flow, and transcritical …