Scalable and Accurate Simulation of Magnetized Plasmas

Executive Summary

The goal of this project is to develop advanced finite element methods for plasma simulations at the edge of magnetically confined fusion devices. This project will not only ensure the nation's present investment in high-performance boundary plasma simulation capabilities can resolve key physical and mathematical issues and move to next-generation exascale computing platforms, but also open new possibilities for other high-energy-density science applications.

Publications, Presentations, and Patents

Benjamin Southworth, et al., “Fast, parallel, high-order simulation of the extended magnetohydrodynamic model,” Transport Task Force Workshop, April 2020, LLNL-ABS-805678.

Ilon joseph, “Magnetized Edge Plasma Fluid Simulation Using High-Order Finite Elements,” Transport Task Force Workshop, April 2020, LLNL-ABS-805937.

Milan Holec, et al., “High-Order Finite Element Framework for Edge Plasma Fluid Simulations,” Transport Task Force Workshop, April 2020, LLNL-ABS-805883.

Andris Dimits, et al., Finite element solution of a vorticity transport model including RF antenna effects and application to scrape-off-layer transport simulations,” International Sherwood Fusion Theory Conference, April 2020, LLNL-ABS-805923.

Benjamin Southworth, et al., “Fast, parallel, high-order simulation of the extended magnetohydrodynamic model,” International Sherwood Fusion Theory Conference, April 2020, LLNL-ABS-805678.

Milan Holec, et al., “The MFEM High-Order Finite Element Framework for Edge Plasma Fluid Simulation,” International Sherwood Fusion Theory Conference, April 2020, LLNL-ABS-805873.

Ilon Joseph, et al., “Scalable & accurate FEM simulation of magnetized plasmas,” Plasma Physics Seminar, Fusion Energy Sciences Program, August 4^th 2020, LLNL-PRES-813596.

Andris Dimits, et al, “Finite element solution of a vorticity transport model including RF antenna effects and application to scrape-off-layer transport simulations,” 62nd Annual Meeting of the APS Division of Plasma Physics, November 2020, LLNL-ABS-812097, LLNL-PRES-816466.

Milan Holec, et al., “High-Order Finite Element Framework for Drift-Reduced MHD,” 62nd Annual Meeting of the APS Division of Plasma Physics, November 2020, LLNL-ABS-812029, LLNL-PRES-816528.

Ilon Joseph, et al., “Magnetized Edge Plasma Fluid Simulation Using High-Order Finite Elements,” 62nd Annual Meeting of the APS Division of Plasma Physics, November 2020, LLNL-ABS-812103, LLNL-PRES-816528.

Benjamin Southworth, et al., “Fast, parallel, high-order simulation of the extended magnetohydrodynamic model,” 62nd Annual Meeting of the APS Division of Plasma Physics, November 2020, LLNL-ABS-812153, LLNL-PRES-816664.

Milan Holec, et al, “MFEM For Magnetized Edge Plasma: Finite Element Spaces and Block Preconditioning Strategies,” SIAM Computational Science and Engineering Conference, March 2021, LLNL-ABS-814718, LLNL-POST-819386.

Chris Vogl, et al., “MFEM for Magnetized Edge Plasma: Tackling Anisotropy with Curved and Adaptive Meshes,” SIAM Computational Science and Engineering Conference, March 2021, LLNL-ABS-814719, LLNL-POST-819399.

Milan Holec, “Edge Plasma Fluid Simulation using the MFEM High-Order Finite Element Framework,” Transport Task Force Workshop, April 2021, LLNL-ABS-821091, LLNL-POST-821597.

IIon Joseph, et al., “High-Order Finite Element Simulation of Magnetized Edge Plasma Turbulence,” Transport Task Force Workshop, April 2021, LLNL-ABS-821090, LLNL-PRES-821560.

Chris Vogl, et al., “MFEM for Magnetized Edge Plasma: Tackling Anisotropy with Curved and Adaptive Meshes,” Transport Task Force Workshop, April 2021, LLNL-ABS-814719, LLNL-POST-821594.

IIon Joseph, et al., “High-Order Finite Element Simulation of Magnetized Edge Plasma Turbulence,” Scientific Discovery through Advanced Computing (SciDAC): Tokamak Disruption Simulation Seminar, May 7^th 2021, LLNL-PRES-821560.

Andris Dimits, et al., “Finite-Element Solution of a Vorticity Transport Model Including RF Antenna Effects and Application to Scrape-Off-Layer-Turbulence Simulations,” International Sherwood Fusion Theory Conference, August 2021, LLNL-ABS-824387, LLNL-PRES- 825760.

Milan Holec, et al., “Energy and Enstrophy Conserving Modeling of Drift -Reduced MHD Using High-Order Time-Space Finite Element Methods,” International Sherwood Fusion Theory Conference, August 2021, LLNL-ABS-824438, LLNL-PRES-825833.

Chris Vogl, et al., “MFEM for Magnetized Edge Plasma: Tackling Anisotropy with Curved and Adaptive Meshes,” LLNL-ABS-824334, LLNL-PRES-825759.

Ben Zhu, et al., “Development of edge plasma turbulence model based on MFEM high-order finite element library,” LLNL-ABS-824389, LLNL-PRES-825669.

Alejandro Campos, et al., “High-order finite-element simulations of forced and decaying Hasegawa-Mima turbulence,” 63rd Annual Meeting of the APS Division of Plasma Physics, November 2021, LLNL-ABS-824468.

Andris Dimits, et al., “Finite-Element Solution of a Vorticity Transport Model Including RF Antenna Effects and Application to Scrape-Off-Layer-Turbulence Simulations,” 63rd Annual Meeting of the APS Division of Plasma Physics, November 2021, LLNL-ABS-824571.

Milan Holec, et al., “Advanced Energy and Enstrophy Conserving FEM for Drift-Reduced MHD,” 63rd Annual Meeting of the APS Division of Plasma Physics, November 2021, LLNL-ABS-824501.

Ilon Joseph, et al., “Finite Element Simulation of Magnetized Edge Plasma Turbulence,” 63rd Annual Meeting of the APS Division of Plasma Physics, November 2021, LLNL-ABS-824636.