133rd NIA CFD Seminar, "..Implicit Gradient for 3rd-Order CCFV.." by Hiroaki Nishikawa, (09-10-2024)

Here's the link to the presentation file (pdf): https://www.researchgate.net/publicat...

Title: Developing an Implicit Gradient Method for an Efficient Third-Order Cell-Centered Finite-Volume Method
Speaker: Hiro Nishikawa, National Institute of Aerospace
Date: Tuesday, September 10, 2024
Time: 11am-12pm (EDT)
Location: NIA Room 317 (3rd floor), Large Conference Room, 1100 Exploration Way, Hampton, VA 23666 Please come in person if you are local, to enjoy coffee/soda/pastries, meet other CFD researchers, and support NIA CFD Seminars!

Abstract:
In this talk, I will discuss an implicit gradient method, where gradients are computed as a solution to a global linear system, for an efficient 3rd-order nodal-gradient-based cell-centered finite-volume method for tetrahedral grids. I will begin by reviewing the linear implicit Green-Gauss method originally introduced for a second-order cell-centered FV method in 2018 and the linear and quadratic implicit edge-based gradient methods for 2nd and 3rd-order node-centered edge-based methods as presented at AIAA SciTech 2024. Then, I will discuss how difficult and easy it is to develop a quadratically-exact implicit gradient method for the 3rd-order finite-volume method. Focusing on the easier approach, I will show some preliminary numerical results and end the talk with future work and a few open questions.

Bio: Hiroaki Nishikawa is Research Fellow at National Institute of Aerospace (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, semi-coarsening multigrid methods, rotated-hybrid Riemann solvers, and high-order upwind and viscous schemes. In 2007, he joined NIA and has since been working on the algorithm development for CFD, focusing on the hyperbolic method for diffusion/viscous terms and improved discretization methods for practical unstructured-grid CFD solvers.