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Numerical Solutions of Cauchy Riemann Equations for Two Dimensional Flows
Student-Run Research Seminar| Speaker: | Jeff Housman, UC Davis Math Dept. |
| Location: | 693 Kerr |
| Start time: | Wed, Jun 6 2001, 1:10PM |
For two dimensional flows, the conservation of mass and the definition of vorticity comprise a generalized Cauchy Riemann system for the velocity components assuming the vorticity is given. Introducing artificial time, a symmetric hyperbolic system can be easily constructed. Artificial viscosity is needed for numerical stability and is obtained from a least-squares formulation. The augmented system is solved explicitly with a standard point relaxation algorithm which is highly parallelizable. Second order accurate results are compared with exact solutions for steady, incompressible, irrotational, inviscid, two dimensional flows around a cylinder.