Seminar Event Detail


Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, March 22, 2019
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  An embedded Cartesian scheme for the Navier-Stokes equations

Abstract:   We consider the discretization of the Navier-Stokes (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 Shortley-Weller 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 Ben-Artzi and Dalia Fishelov.

Files:


Speaker:  Jean-Pierre Croisille
Institution:  University of Lorraine-Metz

Event Organizer:   Robert Krasny    krasny@umich.edu

 

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