Concepedia

Computation of flows with shocks using the Spectral Difference method with artificial viscosity, II: Modified formulation with local mesh refinement

Sachin Premasuthan, Chunlei Liang, Antony Jameson

Computers & Fluids · 2014 · 25 citations · 28 references

Concepts

Numerical AnalysisSpectral Difference MethodNumerical Method For Partial Differential EquationLocal MeshEngineeringUnsteady FlowIncompressible FlowAerospace EngineeringCompressible FlowFluid MechanicsMechanical EngineeringNumerical SimulationHyperbolic Conservation LawAerodynamicsMultiphase FlowComputational MechanicsArtificial Viscosity

References

28

A Method for the Numerical Calculation of Hydrodynamic Shocks

J. VonNeumann, Robert D. Richtmyer · Journal of Applied Physics · 1950 · 2.1K citations

Numerical Analysis, Marine Hydrodynamics, Hydrodynamic Shocks +14

A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods

H. T. Huynh · 18th AIAA Computational Fluid Dynamics Conference · 2007 · 855 citations

Numerical Analysis, Finite Element Method, Engineering +10

A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods

Raymond J. Spiteri, Steven J. Ruuth · SIAM Journal on Numerical Analysis · 2002 · 848 citations

Mathematical Programming, Numerical Analysis, Reduced Order Modeling +16

Sub-Cell Shock Capturing for Discontinuous Galerkin Methods

Per‐Olof Persson, J. Peraire · 44th AIAA Aerospace Sciences Meeting and Exhibit · 2006 · 617 citations

Numerical Analysis, Compressible Flow, Engineering +14

Spectral difference method for unstructured grids I: Basic formulation

Yen Liu, Marcel Vinokur, Z.J. Wang · Journal of Computational Physics · 2006 · 551 citations

Numerical Analysis, Spectral Difference Method, Engineering +5