A Parallel Newton Multigrid Framework for Monolithic Fluid-Structure Interactions
نویسندگان
چکیده
منابع مشابه
A Monolithic Ale Newton-krylov Solver with Multigrid-richardson-schwarz Preconditioning for Incompressible Fluid Structure Interaction
In this paper we study a monolithic Newton-Krylov solver with exact Jacobian for the solution of incompressible FSI problems. A main focus of this work is on the use of geometric multigrid preconditioners with modified Richardson smoothers preconditioned by an additive Schwarz algorithm. The definition of the subdomains in the Schwarz smoother is driven by the natural splitting between fluid an...
متن کاملA Monolithic Geometric Multigrid Solver for Fluid-Structure Interactions in ALE formulation
We present a monolithic geometric multigrid solver for fluid-structure interaction problems in Arbitrary Lagrangian Eulerian coordinates. The coupled dynamics of an incompressible fluid with nonlinear hyperelastic solids gives rise to very large and ill conditioned systems of algebraic equations. Direct solvers usually are out of question due to memory limitations, standard coupled iterative so...
متن کاملMonolithic Newton-multigrid solution techniques for incompressible nonlinear flow models ⋆
We present special Newton-multigrid techniques for stationary incompressible nonlinear flow models discretised by the high order LBB-stable Q2P1 element pair. We treat the resulting nonlinear and the corresponding linear discrete systems by a fully coupled monolithic approach to maintain high accuracy and robustness, particularly with respect to different rheological behaviour but also regardin...
متن کاملA monolithic FEM/Multigrid solver for ALE formulation of fluid structure interaction with application in biomechanics
We investigate a new method of solving the problem of fluid-structure interaction of an incompressible elastic object in laminar incompressible viscous flow. Our proposed method is based on a fully implicit, monolithic formulation of the problem in the arbitrary Lagrangian-Eulerian framework. High order FEM is used to obtain the discrete approximation of the problem. In order to solve the resul...
متن کاملA Fem/multigrid Solver for Monolithic Ale Formulation of Fluid-structure Interaction Problem
In this contribution we investigate a monolithic algorithm to solve the problem of time dependent interaction between an incompressible, possibly nonnewtonian, viscous fluid and an elastic solid. The continuous formulation of the problem and its discretization is done in a monolithic way, treating the problem as one continuum and discretized by the Q2/P1 finite elements. The resulting set of no...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2020
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-019-01113-y