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

doi:10.1007/s42967-019-0004-0

Abstract

Abstract: 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.

Key words: Fluid-structure interaction, Pressure correction, Stability analysis

CLC Number:

Ying He, Jie Shen. Unconditionally Stable Pressure-Correction Schemes for a Nonlinear Fluid-Structure Interaction Model[J]. Communications on Applied Mathematics and Computation, 2019, 1(1): 61-80.

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