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We present a structure-preserving spatial discretization method for infinite-dimensional non-linear port-Hamiltonian representations of a commonly used one-dimensional two-phase flow model: the Two-Fluid Model. We introduce the port-Hamiltonian representation of this two-phase flow model and then invoke a mixed-finite-element method to perform a structure-preserving spatial discretization. Consequently, we obtain a finite-dimensional realization of a recently proposed novel Stokes-Dirac structure for this model. The properties of the resulting finite-dimensional realization are assessed and the conditions under which it is known to respect the properties of a finite-dimensional Dirac structure are discussed. Moreover, we derive the complete finite-dimensional interconnected port-Hamiltonian model by invoking the notion of power-preserving interconnection.
Original languageEnglish
Title of host publication59th IEEE Conference on Decision and Control (CDC 2020)
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)978-1-7281-7447-1
Publication statusPublished - 11 Jan 2021
Event59th IEEE Conference on Decision and Control, CDC 2020 - Virtual/Online, Virtual, Jeju Island, Korea, Republic of
Duration: 14 Dec 202018 Dec 2020
Conference number: 59


Conference59th IEEE Conference on Decision and Control, CDC 2020
Abbreviated titleCDC
Country/TerritoryKorea, Republic of
CityVirtual, Jeju Island
Internet address


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