可压缩Navier-Stokes-Fourier系统有限体积法的误差估计

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Danica Basarić, Mária Lukáčova-Medvidova, Hana Mizerová, Bangwei She, Yuhuan Yuan
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引用次数: 0

摘要

本文研究了可压缩Navier-Stokes-Fourier系统有限体积近似的收敛速率。为此,我们首先证明了正则唯一强解的局部存在性,并在密度和温度保持有界的情况下,分析了它在时间上的全局扩展。我们做了一个物理上合理的假设,即数值密度和温度从上到下均匀地有界。相对能量为我们提供了一种优雅的方法来推导有限体积解和强解之间的先验误差估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Error estimates of a finite volume method for the compressible Navier–Stokes–Fourier system
In this paper we study the convergence rate of a finite volume approximation of the compressible Navier–Stokes–Fourier system. To this end we first show the local existence of a regular unique strong solution and analyse its global extension in time as far as the density and temperature remain bounded. We make a physically reasonable assumption that the numerical density and temperature are uniformly bounded from above and below. The relative energy provides us an elegant way to derive a priori error estimates between finite volume solutions and the strong solution.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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