A Scalable port-Hamiltonian Model for Incompressible Fluids in Irregular Geometries

被引：1
|
作者：
Mora, Luis A. [1 ]
Ramirez, Hector [1 ]
Yuz, Juan, I [1 ]
Le Gorrec, Yann [2 ]
机构：
[1] Univ Tecn Federico Santa Maria, Dept Elect Engn, Av Espana 1680, Valparaiso, Chile
[2] Univ Bourgogne Franche Comte, FEMTO ST, CNRS, 24 Rue Savary, F-2500 Besancon, France
来源：
IFAC PAPERSONLINE | 2019年 / 52卷 / 02期
关键词：
Port-Hamiltonian systems; PDE; approximation of PDEs; computational methods; FORMULATION; SYSTEMS; FLOW;
D O I：
10.1016/j.ifacol.2019.08.018
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The behavior of a fluid in pipes with irregular geometries is studied. Departing from the partial differential equations that describe mass and momentum balances a scalable lumped-parameter model is proposed. To this end the framework of port-Hamiltonian systems is instrumental to derive a modular system which upon interconnection describes segments with different cross sections and dissipation effects. In order to perform the interconnection between different segments the incompressibility hypothesis is relaxed in some infinitesimal section to admit density variations and energy transference between segments. Numerical simulations are performed in order to illustrate the model. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：102 / 107
页数：6
相关论文
共 50 条
  • [1] Fluid-Structure Port-Hamiltonian Model for Incompressible Flows in Tubes with Time Varying Geometries
    Mora, Luis A.
    Yann, Le Gorrec
    Ramirez, Hector
    Yuz, Juan
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2020, 26 (05) : 409 - 433
  • [2] Port-Hamiltonian Models for Flow of Incompressible Fluids in Rigid Pipelines with Faults
    Torres, Lizeth
    Besancon, Gildas
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 2946 - 2951
  • [3] Dissipative port-Hamiltonian Formulation of Maxwell Viscoelastic Fluids
    Mora, Luis A.
    Le Gorrec, Yann
    Ramirez, Hector
    Yuz, Juan
    Maschke, Bernhard
    IFAC PAPERSONLINE, 2021, 54 (14): : 430 - 435
  • [4] Port-Hamiltonian formulations of the incompressible Euler equations with a free surface
    Cheng, Xiaoyu
    Van der Vegt, J. J. W.
    Xu, Yan
    Zwart, H. J.
    JOURNAL OF GEOMETRY AND PHYSICS, 2024, 197
  • [5] Port-Hamiltonian formulations for the modeling, simulation and control of fluids
    Cardoso-Ribeiro, Flavio Luiz
    Haine, Ghislain
    Le Gorrec, Yann
    Matignon, Denis
    Ramirez, Hector
    COMPUTERS & FLUIDS, 2024, 283
  • [6] A port-Hamiltonian model of airplane longitudinal dynamics
    de Mattos Fernandes, Joao Erick
    Cardoso-Ribeiro, Flavio Luiz
    Varela Morales, Mauricio Andres
    IFAC PAPERSONLINE, 2024, 58 (06): : 125 - 130
  • [7] On port-Hamiltonian formulations of 3-dimensional compressible Newtonian fluids
    Mora, Luis A.
    Le Gorrec, Yann
    Matignon, Denis
    Ramirez, Hector
    Yuz, Juan, I
    PHYSICS OF FLUIDS, 2021, 33 (11)
  • [8] Irreversible port-Hamiltonian modelling of 1D compressible fluids
    Mora, Luis A.
    Le Gorrec, Yann
    Ramirez, Hector
    Maschke, Bernhard
    IFAC PAPERSONLINE, 2021, 54 (19): : 64 - 69
  • [9] Irreversible port-Hamiltonian modelling of 3D compressible fluids
    Mora, Luis A.
    Le Gorrec, Yann
    Matignon, Denis
    Ramirez, Hector
    IFAC PAPERSONLINE, 2023, 56 (02): : 6394 - 6399
  • [10] Balanced realization and model reduction of port-Hamiltonian systems
    Fujimoto, Kenji
    Kajiura, Hideo
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 3088 - 3092
12345