A pseudo-spectral solution of vorticity-stream function equations using the influence matrix technique
A method for computing unsteady two dimensional incompressible flows, using the vorticity and the stream function as dependent variables approximated by Chebyshev polynomial expansions is presented. Boundary conditions for the vorticity are derived by the influence matrix technique. The theoretical and numerical difficulties associated with the two-dimensional formulation of the method are discussed. Numerical results illustrate the properties of the method.
Jean Marc Vanel, Roger Peyret, Patrick Bontoux. A pseudo-spectral solution of vorticity-stream function equations using the influence matrix technique. Morton K W and Baines M J. Numerical Methods for Fluid Dynamics II, Clarendon Press Oxford, pp.463-475, 1986. ⟨hal-00974966⟩
Date de publication: 01-01-1986
Auteurs:
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Jean Marc Vanel
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Roger Peyret
- Patrick Bontoux
