High-Order General Discrete Ordinates Method Enabling Efficient Deterministic Transport in Hydrodynamic Simulations
Milan Holec | 23-ERD-026
Executive Summary
We propose a novel deterministic transport method based on a general phase-space coordinate transformation that provides efficient computation and mimics important aspects such as symmetry and microscopic physics at the same time. If succesful, our method will have a far-reaching impact by enabling high-fidelity physics models that are critical to deterministic transport of radiation, electrons, non-Maxwellian ion distributions, and alpha-transport in thermonuclear burn experiments.
Publications, Presentations, and Patents
Dudouit, Yohann, , Dobrev, Veselin, Haut, Terry, Holec, Milan, “Efficient High-Dimension High-Order Matrix- Free Discontinuous Galerkin Methods for High Fidelity Physics” (Presentation, International Conference on Spectral and High Order Methods, Yonsei University, Seoul, Korea, August 14-18, 2023).
Holec, Milan, Dudouit, Yohann, Dobrev, Veselin, Haut, Terry, Bogdanov Aleksander, “Advancing Fidelity of Rad-Hydro Simulations” (Poster Presentation, the Computing External Committee Review, LLNL, Livermore, CA, U.S., April 19, 2023).
Milan Holec, Britton Chang, Terry Haut, Veselin Dobrev, and Yohann Dudouit, “On Diffusion Limit Preserving Unlocked Step Method” (Conference Paper Presentation, The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Niagara Falls, Canada, August 13-17, 2023).
Colby Fronk, Alexander Mote and Milan Holec, “AI Advances Fidelity of Fusion Simulations” (Presentation, the Data Science Summer Institute Summer Slam, LLNL, Livermore, CA, August 2, 2023).
Alexander Mote, Milan Holec, “A Surrogate Model for ICF Thermal Flux Calculations” (Poster Presentation, the Defense Science and Technology Internship Poster Session, LLNL, Livermore, CA, August 2-3, 2023).
Milan Holec,, Britton Chang, Terry Haut, Veselin Dobrev, and Yohann Dudouit, “On Conservative, Positivity and Diffusion Limit Preserving Unlocked DG Method” (Poster Presentation, The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Niagara Falls, Canada, August 13-17, 2023).
