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Stable lattice Boltzmann scheme for a moving Burgers shock wave
Hyperbolic conservation laws entropy convex hull
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2011/1/20
We follow the mathematical framework proposed by Bouchut [3] in order to derive equilibrium functions for D1Q3 lattice Boltzmann simulations of the Burgers equation. When a particular convexity proper...
Modelling shocks and solitons with a modified third order high resolution semi-discrete scheme for soliton and shock wave simulations
Semi-discrete hyperbolic solitons shock wave
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2010/9/15
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equati...