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

Luis A. Mora; Héctor Ramírez; Juan I. Yuz; Yann Le Gorrec

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

机译：不规则几何中不可压缩流体的可扩展port-Hamiltonian模型

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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.

机译：研究了具有不规则几何形状的管道中流体的行为。不同于描述质量和动量平衡的偏微分方程，提出了可扩展的集总参数模型。为此，哈密尔顿港系统的框架有助于推导模块化系统，该系统在互连时描述具有不同横截面和耗散效应的线段。为了执行不同段之间的互连，在某些无穷小部分中放宽了不可压缩性假设，以允许段之间的密度变化和能量传递。为了说明模型，进行了数值模拟。

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《IFAC PapersOnLine》 |2019年第2期|共6页
作者
Luis A. Mora; Héctor Ramírez; Juan I. Yuz; Yann Le Gorrec;
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中图分类自动化技术、计算机技术;
关键词
Port-Hamiltonian systemsPDEapproximation of PDEscomputational methods;

机译：Port-Hamiltonian系统PDE近似PDE计算方法;

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1. A Scalable port-Hamiltonian Model for Incompressible Fluids in Irregular Geometries [J] . Luis A. Mora, Héctor Ramírez, Juan I. Yuz, IFAC PapersOnLine . 2019,第2期

机译：不规则几何中不可压缩流体的可扩展port-Hamiltonian模型
2. Fluid-Structure Port-Hamiltonian Model for Incompressible Flows in Tubes with Time Varying Geometries [J] . Mora Luis A., Yann Le Gorrec, Ramirez Hector, Mathematical and Computer Modelling of Dynamical Systems . 2020,第4a6期

机译：流体结构口袋汉密尔顿模型，用于时间不同几何形状的管中的不可压缩流动
3. An implicit potential method along with a meshless technique for incompressible fluid flows for regular and irregular geometries in 2D and 3D [J] . G.C. Bourantas, V.C. Loukopoulos, H.A. Chowdhury, Engineering analysis with boundary elements . 2017,第apra期

机译：对于2D和3D规则和不规则几何形状的不可压缩流体流，隐式势方法和无网格技术
4. A Scalable port-Hamiltonian Model for Incompressible Fluids in Irregular Geometries [C] . Luis A. Mora, Hector Ramirez, Juan I. Yuz, IFAC Workshop on Control of Systems Governed by Partial Differential Equations . 2020

机译：用于不规则几何形状的不可压缩液体的可扩展端口-Hamiltonian模型
5. Numerical solutions of the inertial modes of the Earth's fluid core: From the outstanding problem of the incompressible fluid shell to more realistic up to date core models. [D] . Naseri, Hossein. 2015

机译：地球流体核心惯性模式的数值解：从不可压缩流体壳的突出问题到更现实的最新核心模型。
6. First steps in modelling turbulence and its origins: a commentary on Reynolds (1895) ‘On the dynamical theory of incompressible viscous fluids and the determination of the criterion’ [O] . Brian E. Launder -1

机译：湍流及其起源建模的第一步：评论雷诺（1895）关于不可压缩粘性流体的动力学理论和准则的确定
7. Fluid-Structure Port-Hamiltonian Model for Incompressible Flows in Tubes with Time Varying Geometries [O] . Luis A. Mora, Le Gorrec Yann, Hector Ramirez, 2020

机译：流体结构口袋汉密尔顿模型，用于时间不同几何形状的管中的不可压缩流动

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

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