Numerical Simulation of Fluid-Structure Interaction Problems

ISBN-13: 9783838373669 / Angielski / Miękka / 2010 / 124 str.

Huidong Yang

Opis

Fluid-structure interaction problems arise in many application fields such as flows around elastic structures or blood flow problems in arteries. One method for solving such a problem is based on a reduction to an equation at the interface, involving the so-called Steklov-Poincare operators. This interface equation is solved by a Newton iteration for which directional derivatives with respect to the interface perturbation have to be evaluated appropriately. One step of the Newton iteration requires the solution of several decoupled linear sub-problems in the structure and the fluid domains. These sub-problems are spatially discretized by a finite element method on hybrid meshes containing different types of elements. For the time discretization implicit first order methods are used. The discretized equations are solved by algebraic multigrid methods for which a stabilized coarsening hierarchy is constructed in a proper way.

O autorze

A research scientist at Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austria, mainly work on fluid-structure interaction problem, finite element methods and multigrid methods. He obtained his doctor degree from Institute of Computational Mathematics, Johannes Kepler University Linz, Austria, in 2010.