Port-Hamiltonian formulation of two-phase flow models

被引：9

作者：

Bansal, H. ^{[1
]}

Schulze, P. ^{[2
]}

Abbasi, M. H. ^{[1
]}

Zwart, H. ^{[3
,4
]}

Iapichino, L. ^{[1
]}

Schilders, W. H. A. ^{[1
]}

van de Wouw, N. ^{[4
,5
]}

机构：

[1] Eindhoven Univ Technol, Dept Math & Comp Sci, Eindhoven, Netherlands

[2] Tech Univ Berlin, Inst Math, Berlin, Germany

[3] Univ Twente, Dept Appl Math, Enschede, Netherlands

[4] Eindhoven Univ Technol, Dept Mech Engn, Eindhoven, Netherlands

[5] Univ Minnesota, Dept Civil Environm & Geoengn, Minneapolis, MN USA

来源：

SYSTEMS & CONTROL LETTERS | 2021年 / 149卷

基金：

欧盟地平线“2020”;

关键词：

Two-Fluid Model; Drift Flux Model; Non-quadratic Hamiltonian; Skew-adjoint; Stokes-Dirac structures; Port-Hamiltonian; SYSTEMS; HYDRODYNAMICS; EQUATIONS;

D O I：

10.1016/j.sysconle.2021.104881

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Two-phase flows are frequently modelled and simulated using the Two-Fluid Model (TFM) and the Drift Flux Model (DFM). This paper proposes Stokes-Dirac structures with respect to which port-Hamiltonian representations for such two-phase flow models can be obtained. We introduce a non-quadratic candidate Hamiltonian function and present dissipative Hamiltonian representations for both models. We then use the structure of the corresponding formally skew-adjoint operator to derive a Stokes-Dirac structure for the two variants of multi-phase flow models. Moreover, we discuss the difficulties in deriving a port-Hamiltonian formulation of the DFM with general slip conditions, and argue why this model may not be energy-consistent. (c) 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：9

共 32 条

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[2]

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[3]

Abbasi MH, 2020, P AMER CONTR CONF, P3097, DOI [10.23919/ACC45564.2020.9147405, 10.23919/acc45564.2020.9147405]

[4]

Abbasi M.H., EXTENDED VERSION PAP

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