Construction of a high order fluid-structure interaction solver |
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Authors: | Gonçalo Pena Christophe Prud’homme |
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Institution: | a CMUC, Department of Mathematics, University of Coimbra, 3001 - 454 Coimbra, Portugal b CMCS, École Polytechnique Fédérale de Lausanne, MA C2 573 (Bâtiment MA), Station 8, CH-1015 Lausanne, Switzerland c Laboratoire Jean Kuntzmann, Université Joseph Fourier Grenoble 1, BP 53 38041 Grenoble Cedex 9, France |
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Abstract: | Accuracy is critical if we are to trust simulation predictions. In settings such as fluid-structure interaction, it is all the more important to obtain reliable results to understand, for example, the impact of pathologies on blood flows in the cardiovascular system. In this paper, we propose a computational strategy for simulating fluid structure interaction using high order methods in space and time.First, we present the mathematical and computational core framework, Life, underlying our multi-physics solvers. Life is a versatile library allowing for 1D, 2D and 3D partial differential solves using h/p type Galerkin methods. Then, we briefly describe the handling of high order geometry and the structure solver. Next we outline the high-order space-time approximation of the incompressible Navier-Stokes equations and comment on the algebraic system and the preconditioning strategy. Finally, we present the high-order Arbitrary Lagrangian Eulerian (ALE) framework in which we solve the fluid-structure interaction problem as well as some initial results. |
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Keywords: | _method=retrieve& _eid=1-s2 0-S0377042709005743& _mathId=si31 gif& _pii=S0377042709005743& _issn=03770427& _acct=C000051805& _version=1& _userid=1154080& md5=668b8dc3c346f77183b8f2ea3821521e')" style="cursor:pointer h/p Galerkin method" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">h/p Galerkin method Incompressible Navier-Stokes Preconditioning Arbitrary Lagrangian Eulerian Fluid structure interaction |
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