The Dual Variable Method for the Solution of Compressible Fluid Flow Problems

DOI10.1137/0607055zbMath0591.76124OpenAlexW1976012191MaRDI QIDQ3720168

Thomas A. Porsching, John Burkardt, Charles Allan Hall

Publication date: 1986

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0607055

zbMATH Keywords

networkboundary conditionsnumerical solutionmethodunique solutionmatrix transformationsinitialconditioncompressible barotropic flowdual variabledual variable transformationcompressible flow problemDiscretizations of the Navier-Stokes equations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Paths and cycles (05C38) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Sparse null basis computations in structural optimization, Time-dependent viscous incompressible Navier-Stokes equations: The finite difference Galerkin formulation and streamfunction algorithms, Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations, The dual variable method for solving fluid flow difference equations on Delaunay triangulations

Cites Work

• An algorithm to compute a sparse basis of the null space
• An application of network theory to the solution of implicit Navier- Stokes difference equations
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Numerical Solution of Navier–Stokes Problems by the Dual Variable Method
• Algorithms for Generating Fundamental Cycles in a Graph