Exterior and vector calculus views of incompressible Navier-Stokes port-Hamiltonian models

Ramy Rashad; Federico Califano; Andrea Brugnoli; Frederic P. Schuller; Stefano Stramigioli

doi:10.1016/j.ifacol.2021.11.074

Exterior and vector calculus views of incompressible Navier-Stokes port-Hamiltonian models

Ramy Rashad^*, Federico Califano, Andrea Brugnoli, Frederic P. Schuller, Stefano Stramigioli

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › Academic › peer-review

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Abstract

In this paper we address the modeling of incompressible Navier-Stokes equations in the port-Hamiltonian framework. Such model not only allows describing the energy dissipation due to viscous effects but also incorporates the non-zero energy exchange through the boundary of the spatial domain for generic boundary conditions. We present in this work the coordinate-free representations of this port-Hamiltonian model using both exterior calculus and vector calculus as well as their corresponding coordinate-based descriptions.

Original language	English
Pages (from-to)	173-179
Number of pages	7
Journal	IFAC-papersonline
Volume	54
Issue number	19
Early online date	19 Nov 2021
DOIs	https://doi.org/10.1016/j.ifacol.2021.11.074
Publication status	Published - 2021
Event	7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021 - Technische Universität Berlin, campus Charlottenburg, Berlin, Germany Duration: 11 Oct 2021 → 13 Oct 2021 Conference number: 7

Keywords

Exterior calculus
Navier-Stokes
Port-Hamiltonian
Vector calculus

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10.1016/j.ifacol.2021.11.074Licence: CC BY-NC-ND

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title = "Exterior and vector calculus views of incompressible Navier-Stokes port-Hamiltonian models",

abstract = "In this paper we address the modeling of incompressible Navier-Stokes equations in the port-Hamiltonian framework. Such model not only allows describing the energy dissipation due to viscous effects but also incorporates the non-zero energy exchange through the boundary of the spatial domain for generic boundary conditions. We present in this work the coordinate-free representations of this port-Hamiltonian model using both exterior calculus and vector calculus as well as their corresponding coordinate-based descriptions.",

keywords = "Exterior calculus, Navier-Stokes, Port-Hamiltonian, Vector calculus",

author = "Ramy Rashad and Federico Califano and Andrea Brugnoli and Schuller, {Frederic P.} and Stefano Stramigioli",

note = "Funding Information: This work was supported by the PortWings project funded by the European Research Council [Grant Agreement No. 787675]. Publisher Copyright: {\textcopyright} The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021, LHMNC 2021 ; Conference date: 11-10-2021 Through 13-10-2021",

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doi = "10.1016/j.ifacol.2021.11.074",

language = "English",

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AU - Rashad, Ramy

AU - Califano, Federico

AU - Brugnoli, Andrea

AU - Schuller, Frederic P.

AU - Stramigioli, Stefano

N1 - Conference code: 7

PY - 2021

Y1 - 2021

N2 - In this paper we address the modeling of incompressible Navier-Stokes equations in the port-Hamiltonian framework. Such model not only allows describing the energy dissipation due to viscous effects but also incorporates the non-zero energy exchange through the boundary of the spatial domain for generic boundary conditions. We present in this work the coordinate-free representations of this port-Hamiltonian model using both exterior calculus and vector calculus as well as their corresponding coordinate-based descriptions.

AB - In this paper we address the modeling of incompressible Navier-Stokes equations in the port-Hamiltonian framework. Such model not only allows describing the energy dissipation due to viscous effects but also incorporates the non-zero energy exchange through the boundary of the spatial domain for generic boundary conditions. We present in this work the coordinate-free representations of this port-Hamiltonian model using both exterior calculus and vector calculus as well as their corresponding coordinate-based descriptions.

KW - Exterior calculus

KW - Navier-Stokes

KW - Port-Hamiltonian

KW - Vector calculus

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U2 - 10.1016/j.ifacol.2021.11.074

DO - 10.1016/j.ifacol.2021.11.074

M3 - Conference article

AN - SCOPUS:85119889690

VL - 54

SP - 173

EP - 179

JO - IFAC-papersonline

JF - IFAC-papersonline

SN - 2405-8963

IS - 19

T2 - 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021

Y2 - 11 October 2021 through 13 October 2021

ER -

Exterior and vector calculus views of incompressible Navier-Stokes port-Hamiltonian models

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