On the properties of curvilinear shock waves smearing in calculations by the particle-in-cell method

DOI10.1016/0045-7930(79)90027-6zbMath0419.76043OpenAlexW2056042198MaRDI QIDQ1132712

S. H. Smith

Publication date: 1979

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(79)90027-6

zbMATH Keywords

particle-in-cell methodnumerical computationscurvilinear shock waves smearingfirst differential approximation methodP.I.C. method

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

On shock localization by digital image processing techniques ⋮ On the classification of discontinuities by the pattern recognition methods

Cites Work

• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Analysis of unsteady supersonic two-phase flows by the particle-in-cell method
• Differential analysers of shock waves: Theory
• A general corrective procedure for the numerical solution of initial- value problems
• An Eulerian differencing method for unsteady compressible flow problems
• Heuristic stability theory for finite-difference equations
• Steady state solutions of hyperbolic systems of conservation laws with viscosity terms
• The Stability Properties of a Coupled Pair of Non-Linear Partial Difference Equations
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