Efficient solution procedures for the simulation of fluid-structure interaction problems

Abstract

This chapter discusses the discretization techniques and the solution procedures with respect to numerical accuracy and efficiency. Special emphasis is given to the numerical realization of the coupling mechanisms. The coupling strategy for the simulation of multifield problems depends on the physical background, which influences the design of the numerical algorithms. But even for physically strong coupled problems, two different strategies can be applied. These strategies include: a monolithic scheme that yields a robust coupling with one system of equations and a partitioned (staggered) solution procedure that allows the use of existing codes. A mixture of both approaches is also possible: a global multigrid method with one Newton–Raphson iteration in each MGM step leads to a robust coupling among the different subproblems and still allows the use of different optimized codes. For problems with mechanical and thermal interaction, a procedure is proposed where the coupling strategy is distributed on different levels of the solution procedure.