A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier--Stokes Equations

DOI10.1137/S1064827595285299zbMath0957.76053OpenAlexW1968658458MaRDI QIDQ4389313

Horst D. Simon, Gene H. Golub, Wei-Pai Tang, Lan Chieh Huang

Publication date: 12 May 1998

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827595285299

zbMATH Keywords

incompressible Navier-Stokes equationsplane Poiseuille flowgeneralized eigenvaluesprojection methodPoisson equationfinite difference solutionfast direct solvermodel problemdriven square cavity flowgeneralized matrix eigendecompositionhalf-staggered grid

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Direct numerical methods for linear systems and matrix inversion (65F05)

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