Spectral collocation methods for stokes flow in contraction geometries and unbounded domains
Date
1989Source
Journal of Computational PhysicsVolume
80Issue
2Pages
314-330Google Scholar check
Metadata
Show full item recordAbstract
A spectral element method is described which enables Stokes flow in contraction geometries and unbounded domains to be solved as a set of coupled problems over semi-infinite rectangular subregions. Expansions in terms of the eigenfunctions of singular Sturm-Liouville problems are used to compute solutions to the governing biharmonic equation for the stream function. The coefficients in these expansions are determined by collocating the differential equation and boundary conditions and imposing C3 continuity across the subregion interface. The suitability of domain truncation and algebraic mapping techniques are compared as well as the choice of trial functions. © 1989.