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Partitioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction

机译:非线性流体-结构相互作用的分区但强耦合的迭代方案

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We look at the computational procedure of computing the response of a coupled fluid-structure interaction problem. We use the so-called strong fluid-structure coupling- a totally implicit formulation. At each time step in an implicit formulation, new values for the solution variables have to be computed by solving a nonlinear system of equations, where we assume that we have solvers for the subproblems. This is often the case, when we have existing software to solve each subproblem separately, and want to couple both. We show how to solve the overall nonlinear system by using only the solvers for the subproblems. This is achieved not by considering the equilibrium equations, but the fixed-point problem resulting from the solution iteration for each of the subproblems.
机译:我们看一下计算耦合的流固耦合问题响应的计算过程。我们使用所谓的强流固耦合-一种完全隐含的公式。在隐式公式的每个时间步骤中,必须通过求解非线性方程组来计算解决方案变量的新值,在这种情况下,我们假设我们有子问题的求解器。当我们拥有现有的软件来分别解决每个子问题并希望将两者结合在一起时,通常就是这种情况。我们展示了如何仅通过使用子问题的求解器来求解整个非线性系统。这不是通过考虑平衡方程来实现的,而是通过解决每个子问题的解决方案迭代产生的不动点问题来实现的。

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