1D Shallow Water Equations Dam Break
Solves the 1D Shallow Water equations using a choice of four finite difference schemes (Lax-Friedrichs, Lax-Wendroff, MacCormack and Adams Average). The Adams Average scheme was devised by myself (James Adams) in 2014.
Uses Dam Break conditions (initial water velocity is set to zero).
A choice of either zero gradient (water flows out of the domain) or reflective boundary conditions is given.
Plots both the water height and velocity at each iteration.
A heuristic time step is used. The simulation is halted if the time step becomes too small.
Plots a graph of the time step values once the simulation has finished.
Cite As
James Adams (2024). 1D Shallow Water Equations Dam Break (https://www.mathworks.com/matlabcentral/fileexchange/46475-1d-shallow-water-equations-dam-break), MATLAB Central File Exchange. Retrieved .
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- Mathematics and Optimization > Partial Differential Equation Toolbox > Geometry and Mesh >
- Mathematics and Optimization > Partial Differential Equation Toolbox > General PDEs > Visualization >
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Version | Published | Release Notes | |
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1.0.0.0 |