Unconditionally Stable Pressure-Correction Schemes for a Nonlinear Fluid-Structure Interaction Model

Unconditionally Stable Pressure-Correction Schemes for a Nonlinear Fluid-Structure Interaction Model
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非线性流固耦合模型的无条件稳定压力修正方案

DOI:
10.1007/s42967-019-0004-0
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发表时间:
2019
影响因子:
1.6
通讯作者:
Shen, Jie
Shen, Jie
中科院分区:
数学4区
文献类型:
--
作者:
He, Ying;Shen, Jie

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本文考虑一类具有固定界面的非线性流固耦合模型的数值逼近问题。我们构造了一类新的FSI问题的压力修正格式,并严格证明了它们是无条件稳定的。这些格式在计算上是非常有效的,因为它们在每个时间步导致整个区域的速度和位移的耦合线性椭圆组和流体区域的离散泊松方程。
We consider in this paper numerical approximation of a nonlinear fluid-structure interaction (FSI) model with a fixed interface. We construct a new class of pressure-correction schemes for the FSI problem, and prove rigorously that they are unconditionally stable. These schemes are computationally very efficient, as they lead to, at each time step, a coupled linear elliptic system for the velocity and displacement in the whole region and a discrete Poisson equation in the fluid region.