Date: Friday, March 22, 2019
Location: 1084 East Hall (3:00 PM to 4:00 PM)
Title: An embedded Cartesian scheme for the NavierStokes equations
Abstract: We consider the discretization of the NavierStokes (NS) equations in pure streamfunction form in an irregular domain, embedded in a Cartesian grid. By means of a high order interpolating polynomial with compact stencil, a discrete NS operator is defined at each point inside the domain. The approach extends to an irregular domain a previously introduced high order compact scheme in Cartesian geometries. The approach is reminiscent of early works on finite differences, in particular of the ShortleyWeller scheme for the Laplacian.
Numerical results will be presented for various irregular domains. A particular attention is devoted to flows in elliptical domains. In the case of the ellipse, we also demonstrate the ability of the scheme for accurate computations of the eigenvalues and eigenfunctions of the biharmonic problem on the ellipse.
Joint work with Matania BenArtzi and Dalia Fishelov.
Files:
Speaker: JeanPierre Croisille
Institution: University of LorraineMetz
Event Organizer: Robert Krasny krasny@umich.edu
