On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier–Stokes equations

2016/10/16 by Xiangxiong Zhang · 9 citations
Engineering · #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics #Fluid Dynamics and Turbulent Flows

paper · doi:10.1016/j.jcp.2016.10.002

Citations

• A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
• A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations
• The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
• Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

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• Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes
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• Provably positivity-preserving, globally divergence-free central DG methods for ideal MHD system
• Thermodynamically consistent modelling and simulation of the moving contact line problem in non-isothermal compressible two-phase flows
• Positivity-preserving hybrid DG/FV method for compressible Euler equations with stiff source terms