AREGBA-DRIOLLET, Denise

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AREGBA-DRIOLLET, Denise
Institut de Mathématiques de Bordeaux [IMB]
Institut Polytechnique de Bordeaux [Bordeaux INP]

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2023-11-20

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We approximate a nonlinear multidimensional conservation law by Lattice Boltzmann Methods (LBM). We use underlying BGK type systems with finite number of velocities discretized by a transport-collision scheme. The collision part involves a relaxation parameter ω which value greatly influences the stability and accuracy of the method, as noted by many authors. In this article we clarify the relationship between ω and the parameters of the kinetic model and we highlight some new monotony properties which allow us to extend the previously obtained stability and convergence results. Numerical experiments are performed.< Leer menos

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1991 Mathematics Subject Classification. 65M12 -35L60 -65M08

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CONVERGENCE OF THE LATTICE BOLTZMANN METHOD WITH OVERRELAXATION FOR A NONLINEAR CONSERVATION LAW

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