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
MC 6460
Yangxin He
Department of Applied Mathematics, University of Waterloo
Projection Operator
The numerical scheme in IGW is a projection method based on methods developed by Bell, Colella and Glaz (1989), Bell, Solomon and Szymaczak (1989) and Bell and Marcus (1992). This projection method can only be used if the projected variables are divergence-free, i.e., the flow is incompressible.
We have described the time stepping, spatial and temporal accuracy of the numerical method in the previous talk. In this second talk, we will restrict our attention to the construction of the projection matrix. We have applied the Boussinesq approximation to eliminate the projection operator from depending on time. The projection is then approximated by using a local basis of discretely divergence-free vector fields. Lastly, we discuss the elimination of boundary dependence of the projection by introducing appropriate left and right boundary conditions.
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.