Construction of a High Order Fluid-Structure Interaction Solver
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.