Mass conservative limiting and applications to the approximation of the steady-state radiation transport equations

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2024-10-28 DOI:10.1016/j.jcp.2024.113531

Jean-Luc Guermond , Zuodong Wang

引用次数: 0

Abstract

A limiting technique for scalar transport equations is presented. The originality of the method is that it does not require solving nonlinear optimization problems nor does it rely on the construction of a low-order approximation. The method has minimal complexity and is numerically demonstrated to maintain high-order accuracy. The performance of the method is illustrated on the radiation transport equation.

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稳态辐射输运方程的质量保守极限和近似应用

本文提出了一种标量传输方程的限制技术。该方法的独创性在于它不需要解决非线性优化问题，也不依赖于低阶近似的构建。该方法的复杂性极低，并在数值上保持了高阶精度。该方法的性能在辐射传输方程中得到了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.