Review on Smoothed Particle Hydrodynamics: Methodology development and recent achievement

TL;DR

This review summarizes recent methodological advancements and achievements in smoothed particle hydrodynamics (SPH), highlighting theoretical developments, computational techniques, and diverse applications in science and engineering.

Contribution

It provides a comprehensive overview of latest SPH developments, including theory, numerical schemes, particle management, and applications, with validation benchmarks.

Findings

Enhanced SPH methods with kernel corrections and high-order schemes

Efficient particle neighbor searching and time stepping techniques

Successful applications in fluid-structure interaction and particle generation

Abstract

Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH) method has experienced a tremendous enhancement in methodology and impacted a range of multi-physics applications in science and engineering. The paper presents a concise review on latest developments and achievements of the SPH method, including (1) brief review of theory and fundamental with kernel corrections, (2) the Riemann-based SPH method with dissipation limiting and high-order data reconstruction by using MUSCL, WENO and MOOD schemes, (3) particle neighbor searching with particle sorting and efficient dual-criteria time stepping schemes, (4) total Lagrangian formulation with stablized, dynamics relaxation and hourglass control schemes, (5) fluid-structure interaction scheme with interface treatments and multi-resolution discretizations, (6) novel applications of particle relaxation for mesh and particle generations. Last but not least, benchmark tests for validating computational accuracy, convergence, robustness and efficiency are also supplied accordingly.