On the use of nonlinear filtering, artificial viscosity, and artificial heat transfer for strong shock computations

DOI10.1006/jcph.1999.6296zbMath0956.76060OpenAlexW1975409753MaRDI QIDQ1819043

Richard T. jun. Lahey, Song-Hyo Bae

Publication date: 15 February 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6296

zbMATH Keywords

spherical geometryLagrangian hydrodynamicscylindrical geometryshock tubeplane geometrygeometric errornumerical filtersartificial heat transfer formulationartificial viscosity modelenergy correctionmomentum correction

Mathematics Subject Classification ID

Uses Software

• DYNA2D

Cites Work

• Unnamed Item
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• High resolution schemes for hyperbolic conservation laws
• A generalized Riemann problem for quasi-one-dimensional gas flows
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• An approximate linearised Riemann solver for the Euler equations for real gases
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Pseudo-unsteady difference schemes for discontinuous solutions of steady- state, one-dimensional fluid dynamics problems
• A total variation diminishing shock viscosity
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• A switch to reduce SPH viscosity
• Capturing shock reflections: An improved flux formula
• Nonlinear Filters for Efficient Shock Computation
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Glimm’s Method for Gas Dynamics
• Errors When Shock Waves Interact Due to Numerical Shock Width
• Accurate Upwind Methods for the Euler Equations
• A Method for the Numerical Calculation of Hydrodynamic Shocks

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