Steady viscous flows by compact differences in boundary-fitted coordinates

DOI10.1016/0021-9991(83)90143-2zbMath0559.76025OpenAlexW2073811516MaRDI QIDQ2265895

Xavier Aubert, Michel O. Deville

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90143-2

zbMATH Keywords

steady Navier-Stokes equationssquare cavitycomplex geometriesglobal convergence analysisboundary-fitted coordinates transformationdiscretization of velocity components and pressure fieldfourth-order-compact difference methodPoiseuille and Couette flows

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Basic methods in fluid mechanics (76M99)

Related Items (7)

Upwind compact finite difference schemes ⋮ Unnamed Item ⋮ A Hermitian-Fourier numerical method for solving the incompressible Navier-Stokes equations ⋮ Chebyshev pseudospectral solution of the Stokes equations using finite element preconditioning ⋮ Comparisons of compact and classical finite difference solutions of stiff problems on nonuniform grids ⋮ Chebyshev collocation method and multi-domain decomposition for Navier- Stokes equations in complex curved geometries ⋮ Chebyshev collocation solutions of the Navier-Stokes equations using multi-domain decomposition and finite element preconditioning

Cites Work

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• A numerical method for solving incompressible viscous flow problems
• Improved free surface boundary conditions for numerical incompressible- flow calculations
• The method of the false transient for the solution of coupled elliptic equations
• A steepest gradient method for optimum structural design
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Numerical Solution of the Navier-Stokes Equations by the Finite Element Method

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