Application of vorticity integral conditioning to Chebyshev pseudospectral formulation for the Navier-Stokes equations
- Idaho National Engineering Lab., Idaho Falls, ID (United States)
- Washington State Univ., Pullman, WA (United States)
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. Numerical experiments indicate that the pseudospectral method is capable of producing results comparable to those obtained by finite differences with fewer unknowns and is superior in accuracy for the same number of nodal points. 15 refs., 6 figs., 1 tab.
- OSTI ID:
- 5221600
- Journal Information:
- Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 106:1; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION