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Description: |
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 results.
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