Maximum principle for the mass fraction in a system with two mass balance equations

被引：0

作者：

Lazare, Gauthier ^{[1
,2
]}

Feng, Qingqing ^{[1
]}

Helluy, Philippe ^{[2
]}

Herard, Jean-Marc ^{[1
,3
]}

Hulsemann, Frank ^{[1
]}

Pujet, Stephane ^{[1
]}

机构：

[1] EDF R&D Chatou, 6 Quai Watier, F-78400 Chatou, France

[2] IRMA, UMR 7501, 7 Rue Descartes, F-67000 Strasbourg, France

[3] Aix Marseille Univ, I2M Inst Math Marseille, Marseille, France

来源：

COMPTES RENDUS MECANIQUE | 2024年 / 352卷

关键词：

maximum principle; Finite Volume scheme; two-phase flow; non-equilibrium velocity; SCHEME;

D O I：

10.5802/crmeca.244

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Three Finite Volume schemes are proposed in this note to satisfy the maximum principle for the mass fraction y , solution of an unsteady balance equation, including a relative velocity between phases and a source term. The continuous maximum principle is examined first. Then, linear implicit discrete schemes are detailed in a multi-dimensional and unstructured framework.

引用

页数：19

共 50 条

[21] The maximum principle and growth estimates for partial difference equations [J].

Gregor J. .

aequationes mathematicae, 2006, 71 (1-2) :86-99

[22] Existence of Solution of a Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations [J].

Yuan, Guangwei ;

Yu, Yunlong .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 34 (01) :80-96

[23] On the Maximum Principle for Solutions of Second Order Elliptic Equations [J].

A. B. Zaitsev .

Russian Mathematics, 2020, 64 :8-13

[24] A Strong Maximum Principle for Nonlinear Nonlocal Diffusion Equations [J].

Hartland, Tucker ;

Shankar, Ravi .

AXIOMS, 2023, 12 (11)

[25] Maximum Principle and Application of Parabolic Partial Differential Equations [J].

Dong Fangliang .

2012 INTERNATIONAL CONFERENCE ON MECHANICAL AND ELECTRONICS ENGINEERING, 2012, 3 :198-205

[26] On feedback strengthening of the maximum principle for measure differential equations [J].

Maxim Staritsyn ;

Stepan Sorokin .

Journal of Global Optimization, 2020, 76 :587-612

[27] Unconditionally maximum principle-preserving linear method for a mass-conserved Allen-Cahn model with local Lagrange multiplier [J].

Yang, Junxiang ;

Kim, Junseok .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 139

[28] Maximum principle for volterra integral equations with controlled delay time [J].

Yatsenko, Y .

OPTIMIZATION, 2004, 53 (02) :177-187

[29] A maximum principle preserving meshfree method for anisotropic diffusion equations ☆ [J].

Tian, Hao ;

Wang, Xiaofang ;

Sheng, Zhiqiang .

JOURNAL OF COMPUTATIONAL PHYSICS, 2024, 518

[30] Maximum principle for controlled fractional Fokker-Planck equations [J].

Wang, Qiuxi .

ADVANCES IN DIFFERENCE EQUATIONS, 2015,

← 1 2 3 4 5 →