A universal cubic interpolation solver for compressible and incompressible fluids

DOI10.1007/BF01413793zbMath0753.76127OpenAlexW1976400588MaRDI QIDQ1197217

S. Singh

Publication date: 16 January 1993

Published in: Shock Waves (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01413793

zbMATH Keywords

Navier-Stokes equationcavitysound speedMAC algorithmadvection termcubic-interpolated pseudoparticletwo-dimensional shock-tube problems

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

A simple stabilized finite element method for solving two phase compressible-incompressible interface flows ⋮ A numerical method for solving the one-dimensional Vlasov-Poisson equation in phase space

Cites Work

• Second-order fluid particle scheme
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method

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