Transactions of Nanjing University of Aeronautics & Astronautics
High-Order Discontinuous Galerkin Solution of Compressible Flows with a Hybrid Lattice Boltzmann Flux
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Abstract:
A discontinuous Galerkin (DG)-based lattice Boltzmann method is employed to solve the Euler and Navier-Stokes equations. Instead of adopting the widely used local Lax-Friedrichs flux and Roe Flux etc., a hybrid lattice Boltzmann flux solver (LBFS) is employed to evaluate the inviscid flux across the cell interfaces. The main advantage of the hybrid LBFS is its flexibility for capturing both strong shocks and thin boundary layers through introducing a function which varies from zero to one to control the artificial viscosity. Numerical results indicate that the hybrid lattice Boltzmann flux solver behaves very well combining with the high-order DG method when simulating both inviscid and viscous flows.
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