Blending finite-difference and vortex methods for incompressible flow computations

Blending finite-difference and vortex methods for incompressible flow computations

We describe and illustrate numerical procedures that combine grid and particle solvers for the solution of the incompressible Navier--Stokes equations. These procedures include vortex in cell (VIC) and domain decomposition schemes. Numerical comparisons with pure finite-difference methods demonstrat...

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Veröffentlicht in:SIAM journal on scientific computing 2001, Vol.22 (5), p.1655-1674
Hauptverfasser: OULD-SALIHI, M. L, COTTET, G.-H, EL HAMRAOUI, M
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Decomposition
Exact sciences and technology
Fluid dynamics
Fourier transforms
Fundamental areas of phenomenology (including applications)
Inviscid flows with vorticity
Laminar flows
Mathematics
Methods
Navier-Stokes equations
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Physics
Sciences and techniques of general use
Velocity
Vortices
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Beschreibung
Zusammenfassung:We describe and illustrate numerical procedures that combine grid and particle solvers for the solution of the incompressible Navier--Stokes equations. These procedures include vortex in cell (VIC) and domain decomposition schemes. Numerical comparisons with pure finite-difference methods demonstrate the effectiveness of these techniques for various flow geometries, bounded or unbounded.
ISSN:1064-8275
1095-7197
DOI:10.1137/S1064827599350769