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Lattice Boltzmann Simulation of Shallow Water Equations in Characteristic Galerkin Finite Element Framework

Author(s): Haegyun Lee, Namjoo Lee

Linked Author(s): haegyun Lee

Keywords: Lattice Boltzmann Method, shallow water equations, characteristic Galerkin Method, unstructured mesh, bend flow

Abstract: The characteristic Galerkin finite element method for the discrete Boltzmann equation is developed for the numerical simulation of depth-integrated shallow water equations. Due to the inherent geometric flexibility of the unstructured mesh in finite element method, the mesh clustering near large gradients and the numerical treatments of complex geometries become possible. It is believed that the characteristic Galerkin procedure with appropriate boundary conditions results in accurate solutions with little numerical diffusion. The bend flow is simulated and the numerical results are in good agreement with previous experimental results

DOI:

Year: 2017

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