Modelling the 1D piston problem as interconnected port-Hamiltonian systems

被引：0

作者：

Treton, Anne-Sophie ^{[1
]}

Haine, Ghislain ^{[1
]}

Matignon, Denis ^{[1
]}

机构：

[1] Univ Toulouse, ISAE SUPAERO, Toulouse, France

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

Piston problem; port-Hamiltonian system; Dirac structure; free boundary; non-linear PDE; fluid-structure-thermal interactions; control and observation; FORMULATION;

D O I：

10.1016/j.ifacol.2020.12.601

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this study, the modelling of the boundary-controlled 1D piston problem as the interconnection of simpler port-Hamiltonian systems (pHs) is addressed. More precisely, two viscous compressible fluids are separated by a moving rigid body on a bounded domain (0, L). Thermodynamics is taken into account, leading to two pHs for each physical domain: one associated to the kinetic energy and the other one to the internal energy. No chemical reaction is being considered in the system. A control by mass injection/rejection and heating is then applied at the left end of the first fluid. Copyright (C) 2020 The Authors.

引用

页码：11503 / 11508

页数：6

共 20 条

[1] A port -Hamiltonian formulation of the Navier-Stokes equations for reactive flows [J].