Divergence Formulation of Source Term

Speaker: Hiro Nishikawa Dr. Hiro Nishikawa is a Senior Research Scientist at NIA. He earned Ph.D. in Aerospace Engineering and Scientific Computing at University of Michigan in 2001. He spent 6 years in Michigan since then as a postdoc, working on various topics (local preconditioning methods, rotated-hybrid Riemann solvers, high-order residual-distribution schemes, etc.), and joined NIA in 2007. His area of expertise is the algorithm development for CFD, currently focusing on multigrid methods and hyperbolic methods for viscous discretization. Abstract: This talk will discuss a simple idea of writing a source term in the divergence form. A conservation law with a source term can then be written in a single divergence form, and consequently it can be discretized virtually without any source term discretization. This talk will focus on its application to the construction of a third-order finite-volume scheme, which requires a special source term discretization but it can be totally avoided by the divergence formulation. Other potential applications and future directions will be discussed. Additional information can be found at the NIA CFD Seminar website, which is temporarily located at http://www.hiroakinishikawa.com/niacfds/