02-14-2017 | Hiroaki Nishikawa: Accuracy-Preserving Source Term Quadrature for Third-Order Edge-Based Discretization

Title: 81st NIA CFD Seminar: Accuracy-Preserving Source Term Quadrature for Third-Order Edge-Based Discretization

Speaker: Hiro Nishikawa, Associate Research Fellow, NIA

Date: Tuesday, February 14, 2017

Time: 11:00am-noon (EST)

Room: NIA, Rm137

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Abstract: This talk will present new source term quadrature formulas for preserving third-order accuracy of the edge-based discretization for conservation laws with source terms on arbitrary simplex grids. A family of economical formulas are derived, which do not require computations nor storage of second derivatives, by eliminating a first-order truncation error and satisfying a compatibility condition. With these formulas, the edge-based scheme can achieve third-order accuracy with no second-derivative computations at all. Third-order accuracy is demonstrated for equations with source terms on one-dimensional grids and linear triangular/tetrahedral grids over straight and curved geometries.

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.