Spurious Modes in Spectral Collocation Methods with Two Non-Periodic Directions
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
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Collocation implementation of the Kleiser-Schumanns method in geometries with two non-periodic directions is shown to suffer from three spurious modes--line, column and checkerboard--contaminating the computed pressure field. The corner spurious modes are also present but they do not affect evaluation of pressure related quantities. A simple methodology in the inversion of the influence matrix will efficiently filter out these spurious modes. Spectral methods Spurious modes.
- Numerical Mathematics