61st NIA CFD Seminar:
THIRD-ORDER ACTIVE FLUX SCHEMES FOR ADVECTION DIFFUSION
Hiro Nishikawa, NIA
August 25, 2015, 11:00 am, NIA, Rm 137
Abstract:
A miracle happens in CFD once again: A third-order active-flux diffusion scheme becomes, by itself, a third-order advection-diffusion scheme. This is possible by adding the advective term as a source term to the diffusion scheme. To solve the residual equations efficiently, Newton’s method is employed. For unsteady computations, it leads to a third-order implicit time-stepping scheme with Newton’s method. The resulting advection-diffusion scheme achieves third-order accuracy and the Newton solver converges very rapidly for both steady and unsteady problems.
Bio:
Dr. Hiro Nishikawa is Associate Research Fellow, NIA. He earned Ph.D. in Aerospace Engineering and Scientific Computing at the University of Michigan in 2001. He then worked as a postdoctoral fellow at the University of Michigan on adaptive grid methods, local preconditioning methods, multigrid methods, rotated-hybrid Riemann solvers, high-order upwind and viscous schemes, etc., and joined NIA in 2007. His area of expertise is the algorithm development for CFD, focusing on hyperbolic methods for robust, efficient, highly accurate viscous discretization schemes.
Additional information, including the webcast link, can be found at the NIA CFD Seminar website, which is temporarily located at http://www.hiroakinishikawa.com/niacfds/index.html.