Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
For Zoom Link please contact ddelreyfernandez@uwaterloo.ca
David A. Kopriva Professor Emeritus Department of Mathematics, Florida State University and Computations Science Research Center, San Diego State University
On the Foundations of Overset Grid Methods
Overset grid methods were introduced forty years ago to simplify grid generation for complex geometrical configurations. The methods have their own conference series, which has been held for almost thirty years. Numerous software packages exist to implement the schemes. The methods have been used in conjunction with all major spatial approximation schemes and are used in a wide variety of application areas including aerodynamics, solid mechanics, meteorology, and electromagnetics. Over the years, robustness has been an issue, and to date no fully multidimensional stability proofs are available.
In this talk, I will look at the formulation of the overset grid problem as an overset domain problem. I will show that one-way characteristic coupling between the domains in one space dimension is well-posed, but that doesn't extend to multiple dimensions. I will then present formulations of the problem for linear and nonlinear systems that use two-way coupling. For linear problems, we can show that the new formulation is energy bounded, conservative, and that the solutions are equivalent to the original single domain problem. The formulation for nonlinear systems is entropy conserving and conservative. Numerical experiments will examine the behavior of the systems using a discontinuous Galerkin spectral element approximation.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.