A One-Field Monolithic Fictitious Domain Method for Fluid-Structure Interactions

TL;DR

This paper introduces a novel one-field monolithic fictitious domain method for fluid-structure interactions that simplifies implementation and improves computational efficiency while maintaining robustness.

Contribution

It proposes a new one-field, monolithic FD method for FSI that is easier to implement and more efficient than existing DLM-based methods.

Findings

Method is robust across various FSI scenarios.

Computational examples validate accuracy and efficiency.

Simplifies implementation of FSI simulations.

Abstract

In this article, we present a one-field monolithic fictitious domain (FD) method for simulation of general fluid-structure interactions (FSI). One-field means only one velocity field is solved in the whole domain, based upon the use of an appropriate L2 projection. Monolithic means the fluid and solid equations are solved synchronously (rather than sequentially). We argue that the proposed method has the same generality and robustness as FD methods with distributed Lagrange multiplier (DLM) but is significantly more computationally efficient (because of one-field) whilst being very straightforward to implement. The method is described in detail, followed by the presentation of multiple computational examples in order to validate it across a wide range of fluid and solid parameters and interactions.