A finite difference Galerkin formulation for the incompressible Navier- Stokes equations

DOI10.1016/0021-9991(84)90057-3zbMath0525.76026OpenAlexW2077332343MaRDI QIDQ593922

L. B. Hackerman, A. B. Stephens, Jay M. Solomon, John B. Bell

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90057-3

zbMATH Keywords

finite difference approximationsprimitive variable formGalerkin formulationeliminate pressuresteady driven cavity problemtwo dimensional

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99)

Related Items

Multiple discrete solutions of the incompressible steady-state Navier- Stokes equations, The construction of a null basis for a discrete divergence operator, ILU factorization well suited to the vector processor using a variant of the 5-point difference scheme, The derivation of minimal support basis functions for the discrete divergence operator, Time-dependent viscous incompressible Navier-Stokes equations: The finite difference Galerkin formulation and streamfunction algorithms, Numerical simulation of a viscous vortex ring interaction with a density interface, Numerical simulation of the absolutely and convectively unstable wake, Numerical solution of the steady Stokes equations, Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations, Energy stability analysis of some fully discrete numerical schemes for incompressible Navier-Stokes equations on staggered grids, The structure and evolution of the vorticity and temperature fields in thermals, Projection methods coupled to level set interface techniques, Temporal simulation of the wake behind a circular cylinder in the neighborhood of the critical Reynolds number, A second-order projection method for variable-density flows, A second-order projection method for the incompressible Navier-Stokes equations

Cites Work

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• An application of network theory to the solution of implicit Navier- Stokes difference equations
• Spurious solutions in driven cavity calculations
• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• Approximation variationnelle des problèmes aux limites
• A numerical method for solving incompressible viscous flow problems
• The method of nets for the nonstationary Navier-Stokes equations
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• A generalization of Uzawa's algorithm for the solution of the Navier-Stokes equations
• The application of quasi-Newton methods in fluid mechanics
• The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
• Numerical Method for 2D and 3D Viscous Flows
• Une méthode d'approximation de la solution des équations de Navier-Stokes
• Numerical Solution of the Navier-Stokes Equations