Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia - trixi-framework/Trixi.jl ...

The performance of the nonoscillatory central difference scheme with different limiters is investigated for solving the two-dimensional shallow water equations in this paper. The methods are applied ...

2. Mathematical Formulation of the Shallow Water Equations The 2D shallow water equations are utilized to model flood inundation. These equations are derived from the conservation of mass and momentum ...

SHALLOW_WATER_1D is a C++ program which simulates a system governed by the shallow water equations in 1D. SHALLOW_WATER_1D_DISPLAY, a MATLAB program which can display a solution of the shallow water ...

Shallow Water Equations (SWE): A set of hyperbolic partial differential equations that describe the flow below a pressure surface in fluids, essential for modelling free-surface flows.

KEYWORDS: Dam-Break Flows, Numerical Simulation, Shallow Water Equations, Radial Basis Functions, Urban Flood Inundation JOURNAL NAME: American Journal of Computational Mathematics, Vol.14 No.3, ...

Safari [10] gave solutions to two extended model equations for shallow water waves by He’s variational iteration method. In [11], the Adomian decomposition method was used to solve two extended model ...