Techniques for efficient implementation of pseudo-spectral methods and comparisons with finite difference solutions of the Navier-Stokes equations
The results of this study have shown that: (i) direct matrix inversions are competitive with FFT's for calculating pseudo-spectral representations; (ii) all real space Poisson solvers are possible with the use of a predictor-corrector procedure; (iii) the iterative time integration scheme is very attractive for use in incompressible flows; (iv) energy conservation in stratified flow using finite difference techniques can be accomplished using a combination of conservative and Piacsek-Williams differencing; and (v) computation times for pseudo-spectral calculations are faster than finite difference calculations of equivalent accuracy.
KeywordsInterpolation Point Vorticity Distribution Finite Difference Technique Finite Difference Solution Spectral Solution
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