Print Email Facebook Twitter An immersed boundary method based on domain decomposition Title An immersed boundary method based on domain decomposition Author Krishnan, Navaneetha (TU Delft Wind Energy) Viré, A.C. (TU Delft Wind Energy) Schmehl, R. (TU Delft Wind Energy) van Bussel, G.J.W. (TU Delft Wind Energy) Date 2020-04-30 Abstract A novel immersed boundary method based on a domain decomposition approach is proposed in the context of a finite element discretisation method. It is applicable to incompressible flows past rigid, deforming, or moving bodies. In this method, unlike most immersed boundary methods, strong boundary conditions are imposed in the regions of the computational domain that are occupied by the structure. In order to achieve this, the proposed formulation decomposes the computational domain by splitting the finite element test functions into solid and fluid parts. In the continuous Galerkin formulation, this produces a smeared representation of the fluid-structure interface. The absence of an immersed boundary forcing term implies that the method itself has no influence on the CFL stability criterion. Furthermore, the stiffness matrix in the momentum equation is sparser than compared with other forcing immersed boundary methods, and symmetry and positive-definiteness of the Laplacian operator in the pressure equation is preserved. As shown in this paper, stability and accurate imposition of boundary conditions make the method promising for high Reynolds number flows. The method is applied to the simulations of two-dimensional laminar flow over stationary and moving cylinders, as well as a moderately high Reynolds number flow past an aerofoil. Good results are obtained when compared with those from previous experimental and numerical studies. Subject Finite element methodFluid-structure interactionsImmersed boundary method To reference this document use: http://resolver.tudelft.nl/uuid:7e2428a3-69ea-478d-ba63-48daf87a4095 DOI https://doi.org/10.1016/j.compfluid.2020.104500 Embargo date 2020-10-01 ISSN 0045-7930 Source Computers & Fluids, 202 Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2020 Navaneetha Krishnan, A.C. Viré, R. Schmehl, G.J.W. van Bussel Files PDF 1_s2.0_S0045793020300748_main.pdf 1.75 MB Close viewer /islandora/object/uuid:7e2428a3-69ea-478d-ba63-48daf87a4095/datastream/OBJ/view