Computational methods for self-similar solutions of the compressible Euler equations

DOI10.1006/JCPH.1996.5639zbMath0877.76047OpenAlexW2031105729MaRDI QIDQ1357349

Ravi Samtaney

Publication date: 16 December 1997

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

Full work available at URL: https://doi.org/10.1006/jcph.1996.5639

zbMATH Keywords

boundary value problemJacobiansequilibrium flux methodimplicit Godunov methodsimilarity coordinates

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

A numerical method for self-similar solutions of ideal magnetohydrodynamics ⋮ Numerical methods for Euler equations with self-similar and quasi self-similar solutions ⋮ Generalized Noh self-similar solutions of the compressible Euler equations for hydrocode verification ⋮ Irregular self-similar configurations of shock-wave impingement on shear layers ⋮ An algorithm for modelling the interaction of a flexible rod with a two-dimensional high-speed flow

Cites Work

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• The piecewise parabolic method (PPM) for gas-dynamical simulations
• On Godunov-type methods near low densities
• Efficient solution algorithms for the Riemann problem for real gases
• Local adaptive mesh refinement for shock hydrodynamics
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• Direct simulation methods for compressible inviscid ideal-gas flow
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• On the disturbed motion of a plane vortex sheet
• Diffraction of a Shock Wave by a Compression Corner: I. Regular Reflection
• On initial-value and self-similar solutions of the compressible Euler equations
• A note on the pseudo-stationary flow behind a strong shock diffracted or reflected at a corner

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