
Meshfree and particle methods have emerged as a new class of numerical methods that play an increasingly significant role in the study of challenging engineering problems. Sheng-Wei Chi, University of Illinois at Chicago Mike Hillman, Pennsylvania State University Wu, Livermore Software Technology Corporation In essence, this paper is an effort to identify and classify key aspects of MPM applications for FSI and suggest potential avenues to explore the full potential of MPM capabilities for the solution of coupled problems.C. Furthermore, various challenges involved in employing MPMs for FSI have also been identified and discussed along with the state-of-the-art techniques used in meshfree methods and FSI applications, and a future way forward has been proposed. Various aspects of partitioned FSI have been identified and classified for meshfree FSI problems, which include problem formulation strategies, domains discretization approaches, solver coupling methodology, interface treatment, benchmark problems, computational load, and availability of commercial software. Owing to its promising growth potential, partitioned FSI is the prime emphasis of this paper. So far, meshfree methods have mostly been limited to applications, where conventional methods show limited performance. However, the biggest challenge to their wider acceptability is their implementation and programming complexity, higher computational cost, and lack of commercial software packages. Compared to their mesh-based counterparts, MPMs are found better suited in negotiating moving boundaries and complex geometries, features that are the hallmark of FSI problems. A detailed account of salient work related to the FSI problems involving complex geometries, viscous flows, and large structural deformations has been presented and the benchmark solutions are identified for future research. The advantages and limitations of these methods, particularly related to FSI applications, have been identified. Meshfree methods are categorized based on their mathematical formulation and treatment of computational data points.

This paper presents a review of recent progress made towards the applications of the meshfree particle methods (MPMs) for solving coupled fluid-structure interaction (FSI) problems.
