在多流体等离子体模拟中应用空间和时间自适应细化的四阶精确有限体积法

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Communications in Applied Mathematics and Computational Science Pub Date : 2024-08-28 DOI:10.2140/camcos.2024.19.57

Scott Polak, Xinfeng Gao

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引用次数: 0

摘要

以有限体积法为基础，利用四阶精确算法和空间与时间上的求解自适应网格细化，开发了一种新型多流体等离子体模型。在此之前，已经验证了多流体等离子体模型的精度阶次，并演示了常见等离子体测试案例的解决方案。在本研究中，多流体等离子体模型被应用于解决涉及不连续和冲击的复杂测试案例。因此，讨论的重点是数值稳定方法和自适应网格细化策略。结果表明，自适应网格细化提高了求解稳定性，计算时间缩短了一个数量级。

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

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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来源期刊

Communications in Applied Mathematics and Computational Science MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CAMCoS accepts innovative papers in all areas where mathematics and applications interact. In particular, the journal welcomes papers where an idea is followed from beginning to end — from an abstract beginning to a piece of software, or from a computational observation to a mathematical theory.