Coherence and flow-maximization of a one-way valve

被引：0

作者：

Corli, Andrea ^{[1
]}

Razafison, Ulrich ^{[2
]}

Rosini, Massimiliano D. ^{[1
,3
]}

机构：

[1] Univ Ferrara, Dept Math & Comp Sci, I-44121 Ferrara, Italy

[2] Univ Bourgogne Franche Comte, CNRS UMR 6623, Lab Math Besancon, 16 Route Gray, F-25030 Besancon, France

[3] Uniwersytet Marii Curie Sklodowskiej, Plac Marii Curie Sklodowskiej 1, PL-20031 Lublin, Poland

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2022年 / 56卷 / 05期

关键词：

Systems of conservation laws; gas flow; valve; Riemann problem; coupling conditions; chattering; maximization; control; isentropic Euler equations; p-system;

D O I：

10.1051/m2an/2022053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a mathematical model for the gas flow through a one-way valve and focus on two issues. First, we propose a way to eliminate the chattering (the fast switch on and off of the valve) by slightly modifying the design of the valve. This mathematically amounts to the construction of a coupling Riemann solver with a suitable stability property, namely, coherence. We provide a numerical comparison of the behavior of the two valves. Second, we analyze, both analytically and numerically, for several significative situations, the maximization of the flow through the modified valve according to a control parameter of the valve and time.

引用

页码：1715 / 1739

页数：25

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