100th NIA CFD Seminar: Uses of Zero and Negative Volume Elements for Node-Centered Edge-Based Discretization
Date: Tuesday, April 10, 2018
Time: 11am-noon (EST)
Room: NIA, Rm101
Speaker: Hiroaki Nishikawa, Associate Research Fellow, NIA
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This talk will discuss how zero and negative volume elements can be useful in Computational Fluid Dynamics (CFD) simulations: third-order accuracy on grids with inverted triangles, better resolving singularities, zero-width shock capturing, local refinement of quadrilateral grids without hanging nodes, overset grids made a single grid for a drastic simplification in algorithms and for trivial satisfaction of discrete conservation. Perhaps all CFD codes on Earth today consider grids with zero/negative volumes as invalid or failure, and thus simulations are never performed on such grids. This work opens the door to a new era in CFD: improved simulations via hitherto-impossible computational grids.
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, and joined NIA in 2007. His area of expertise is the algorithm development for CFD, focusing on the hyperbolic method for diffusion, and derived methods for robust, efficient, highly accurate viscous discretization schemes on unstructured grids.