Open AccessReduced-order modeling by POD-multiphase approach for fluid-structure interaction
Author(s) -
Erwan Liberge,
Marie Pomarède,
Aziz Hamdouni
Publication year - 2010
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.19.41-52
Subject(s) - fluid–structure interaction , point of delivery , rigid body , domain (mathematical analysis) , fluid dynamics , vector field , proper orthogonal decomposition , rigidity (electromagnetism) , viscosity , mathematics , mathematical analysis , mechanics , physics , classical mechanics , finite element method , turbulence , agronomy , quantum mechanics , thermodynamics , biology
This paper describes the Reduced Order Modeling (ROM) for fluid rigid body interaction problem and discusses Proper Orthogonal Decomposition (POD) utilisation. The principal difficulty for using POD being the moving domains, a referenced fixed domain has been introduced. The POD has been applied for the velocity field obtained on the fixed domain. Then a method to reduce dynamical system for rigid body fluid interaction has been developed. This method consists in treating the entire fluid-solid domain as a fluid. The rigid body has then been considered as a fluid, by using a high viscosity which can play the role of a penalisation factor of the rigidity constraint. The fluid flow problem is then formulated on the reference domain and POD modes have been used in the weak formulation.