Open AccessProper orthogonal decomposition investigation in fluid structure interaction
Author(s) -
Erwan Liberge,
Mustapha Benaouicha,
Aziz Hamdouni
Publication year - 2007
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/remn.16.401-418
Subject(s) - point of delivery , fluid–structure interaction , proper orthogonal decomposition , domain (mathematical analysis) , mathematics , mathematical analysis , function (biology) , vector field , velocity potential , domain decomposition methods , engineering , geometry , structural engineering , finite element method , boundary value problem , evolutionary biology , agronomy , biology
This paper describes Reduced Order Modeling (ROM) in Fluid Structure Interaction (FSI) and discusses Proper Orthogonal Decomposition (POD) utilization. The ROM method was selected because its performance in fluid mechanics. The principal problems of its application in FSI are due the space character of the modes resulting from the POD whereas domains are mobile. To use POD in moving domain, a charateristic function of fluid is introduced in order to work on a fixed rigid domain, and the global velocity (fluid and structure) is studied. The POD modes efficiency is tested to reconstruct velocity field in one and two-dimensional FSI case. Then reducing dynamic system using POD is introduced in moving boundaries problem. In addition, the one dimensional case of Burgers equation coupled with spring equation is tested.