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 5417
Yangxin He
Department of Applied Mathematics, University of Waterloo
Time Stepping
We will present two talks on the numerical methods used in a two-dimensional internal gravity wave model named IGW, which solves the time-dependent, incompressible Navier-Stokes equations. The numerical scheme in IGW is a projection method based on works by Bell, Colella and Glaz (1989), Bell, Solomon and Szymaczak (1989) and Bell and Marcus (1992). Unlike the previous projection methods, this method is of second-order temporal accuracy and the nonlinear advection terms are treated using a second-order Godunov-type procedure.
This first talk focuses on the time stepping of the numerical method. We obtain a temporal discretization that is second-order accurate by introducing a half-step step between the advection and the projection steps. A higher order Godunov scheme is then applied to the interpolated velocities to determine the numerical fluxes at the cell edges.
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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.