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Communication Dans Un Congrès Année : 2009

High order fluid-structure interaction

Résumé

Accuracy is critical if we are to trust the 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 cardio-vascular system. In this paper, we present some computational strategies for simulating fluid structure interaction using high order methods in space, time and geometry and we discuss the current strengths and weaknesses of the various ingredients. First, we present the mathematical and computational core framework, Life, underlying our multiphysics solvers. Life is a versatile library allowing for 1D, 2D and 3D partial differential solves using h=p type Galerkin methods, continuous as well as discontinuous, in sequential and parallel settings. From the linear and nonlinear solver framework point of view, there are built on top of the environements PETSc and Trilinos. Then we describe the high-order space-time approximation of the incompressible Navier-Stokes equations with particular interest on the algebraic system and the preconditioning strategies. We also present a Stokes test case in the presence of high order geometries which confirms the need of high order geometry support when using high order approximation. We present the high-order Arbitrary Lagrangian Eulerian (ALE) framework in which we solve the fluid-structure interaction problem. We propose an ALE map using a polynomial description of the boundary of the computational domain and the Laplace operator. The construction of the map relies on a straight edge mesh in the reference domain and it conserves the shape of its interior elements. Finally, we apply the ALE framework to solve a fluid-structure interaction problem for a simple 2D hemodynamics example. Two algorithms are considered: an implicit fully coupled and a semi-implicit.
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Dates et versions

hal-00390153 , version 1 (01-06-2009)

Identifiants

  • HAL Id : hal-00390153 , version 1

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Christophe Prud'Homme. High order fluid-structure interaction. ECM'09 - International Conference of Microfluidics and Complex flow, Nov 2009, La Marsa, Tunisia. ⟨hal-00390153⟩
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