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The effect of the formulation of nonlinear terms on aliasing errors in spectral methods

✍ Scribed by G.A. Blaisdell; E.T. Spyropoulos; J.H. Qin

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
711 KB
Volume
21
Category
Article
ISSN
0168-9274

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Stability Analysis for Different Formula
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We show that for the P N -P N -2 spectral element method, in which velocity and pressure are approximated by polynomials of order N and N -2, respectively, numerical instabilities can occur in the spatially discretized Navier-Stokes equations. Both a staggered and nonstaggered arrangement of the N -