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Application of a fourth-order accurate finite-volume method with adaptive refinement in space and time to multifluid plasma simulations

Scott Polak and Xinfeng Gao
Vol. 19 (2024), No. 1, 57–85
DOI: 10.2140/camcos.2024.19.57
Abstract

A novel multifluid plasma model is developed, based on the finite-volume method, with a fourth-order accurate algorithm and solution-adaptive mesh refinement in space and time. Previously, the order of accuracy of the multifluid plasma model was verified and the solutions to common plasma test cases were demonstrated. In the present work, the multifluid plasma model is applied to solve complex test cases involving discontinuities and shocks. Discussion is thus focused on methods of numerical stabilization and strategies with adaptive mesh refinement. The results show improvements to solution stability and as much as an order of magnitude improvement in compute time due to adaptive mesh refinement.

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Keywords
numerical algorithm, plasma model, multifluid plasma, finite volume method, high-order numerical algorithm, numerical stabilization, adaptive mesh refinement, AMR
Mathematical Subject Classification
Primary: 35Q30, 35Q35, 65N50, 76L05
Milestones
Received: 4 May 2023
Revised: 30 May 2024
Accepted: 4 June 2024
Published: 28 August 2024
Authors
Scott Polak
CFD and Propulsion Laboratory
Colorado State University
Fort Collins, CO 80523
United States
Xinfeng Gao
Department of Mechanical Engineering and Aerospace Engineering
University of Virginia
Charlottesville, VA 22904
United States
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