Shock computations with adaptive mesh refinement and moving grids

DOI10.1016/0898-1221(88)90286-6zbMath0646.76083OpenAlexW2088188697MaRDI QIDQ1104190

Edward J. Kansa

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90286-6

zbMATH Keywords

Euler equationsshock tube problemwave interactionstruncation errorsshock interactionsnonlinear Riemann solvercontact surfacesaccurate shock wave problemsadaptive mesh refinement schemeexplicit moving grid techniqueNoh's spherical shock problempost collision wave structurestep-down contact discontinuitystrong conservative law formvon Neumann spherical blast wave

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Basic methods in fluid mechanics (76M99)

Related Items (1)

An unstructured adaptive mesh refinement approach for computational fluid dynamics of reacting flows

Cites Work

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• The use of nonrational functions to represent steep front solutions to partial differential equations
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Adaptive mesh refinement for hyperbolic partial differential equations
• Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux
• Approximate Riemann solvers, parameter vectors, and difference schemes
• The moving finite element method: Applications to general partial differential equations with multiple large gradients
• Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Transport of turbulence in numerical fluid dynamics
• A Simplified Moving Finite Difference Scheme: Application to Dense Gas Dispersion
• Moving Finite Elements. I
• Moving Finite Elements. II

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