First, Second, and Third Order Finite-Volume Schemes for Diffusion
Speaker: Hiro Nishikawa
Dr. Hiro Nishikawa is Sr. Research Scientist, 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, currently focusing on multigrid methods
and hyperbolic methods for robust, efficient, highly accurate viscous discretization schemes.
This talk will show how straightforward it is to construct diffusion schemes; first, second and
third order finite-volume schemes will be constructed quite easily for diffusion. First-order
diffusion scheme is energy-stable on arbitrary grids, the second-order diffusion schemes yield
second-order accurate solution and gradients on arbitrary grids, and the third-order diffusion
schemes yield third-order accurate solution and gradients on triangular grids nearly at the cost
of a second-order scheme.
Additional information, including the webcast link, can be found at the NIA CFD Seminar website,
which is temporarily located at