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Application of vorticity integral conditioning to Chebyshev pseudospectral formulation for the Navier-Stokes equations. (English) Zbl 0769.76049
A pseudospectral method based on the vorticity-stream function formulation is proposed for the solution of two-dimensional, time- dependent flow of an incompressible fluid. It features the high resolution and computational economy of Chebyshev collocation and the combined second-order Adams-Bashforth and Crank-Nicolson time integration schemes. Precise treatment for the vorticity condition is accomplished by the use of conditions of integral type.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
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