A particle method for 1-D compressible fluid flow

被引：2

作者：

Karafyllis, Iasson ^{[1
,4
]}

Papageorgiou, Markos ^{[2
,3
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Athens, Greece

[2] Tech Univ Crete, Dynam Syst & Simulat Lab, Khania, Greece

[3] Ningbo Univ, Fac Maritime & Transportat, Ningbo, Peoples R China

[4] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

STUDIES IN APPLIED MATHEMATICS | 2023年 / 151卷 / 04期

基金：

欧洲研究理事会;

关键词：

compressible fluid; macroscopic traffic models; Navier-Stokes; viscous Saint-Venant; THE-LEADER MODELS; GLOBAL EXISTENCE; STABILIZATION;

D O I：

10.1111/sapm.12623

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a novel particle scheme that provides convergent approximations of a weak solution of the Navier-Stokes equations for the 1-D flow of a viscous compressible fluid. Moreover, it is shown that all differential inequalities that hold for the fluid model are preserved by the particle method: mass is conserved, mechanical energy is decaying, and a modified mechanical energy functional is also decaying. The proposed particle method can be used both as a numerical method and as a method of proving existence of solutions for compressible fluid models.

引用

页码：1282 / 1331

页数：50

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