On the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations
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Summary
The spurious pressures and acceptable velocities generated when using certain combinations of velocity and pressure approximations in a Galerkin finite element discretization of the primitive variable form of the incompressible Navier-Stokes equations are analyzed both theoretically and numerically for grids composed of quadrilateral finite elements.
- Type
- article
- Published
- 1979-10-15
- Cited by
- 8
- References
- 0
- Access
- Open access
- OpenAlex
- https://openalex.org/W1648487613
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:117832364
Keywords
Spurious relationship, Quadrilateral, Compressibility, Pressure-correction method, Discretization
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Cited by
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- Finite-Element Simulations of Stratified Flow Over Simple Geometrical Obstructions and Arbitrarily Complex Terrain.
- Finite element techniques for the Navier-Stokes equations in the primitive variable formulation and the vorticity stream-function formulation
- Finite element computation of turbulent flows
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Analysis of some mixed finite element methods related to reduced integration
- A NEW ECONOMICAL MIXED FINITE ELEMENT FORMULATION AND THE MAC METHOD FOR THE STOKES EQUATIONS
- The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier‐Stokes equations: Part 2
- Computational study of liquid film flows along flat and undulated substrates
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