Review on Smoothed Particle Hydrodynamics: Methodology development and recent achievement

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.

49 pages, 18 figures

References in corpus (5)

• SPHinXsys: an open-source multi-physics and multi-resolution library based on smoothed particle hydrodynamics
• An Hourglass Control Algorithm for Lagrangian Smooth Particle Hydrodynamics
• A novel smoothed particle hydrodynamics formulation for thermo-capillary phase change problems with focus on metal additive manufacturing melt pool modeling
• An integrative smoothed particle hydrodynamics framework for modeling cardiac function
• Generalised and efficient wall boundary condition treatment in GPU-accelerated smoothed particle hydrodynamics

Cited by in corpus (7)

• An hourglass-free formulation for total Lagrangian smoothed particle hydrodynamics
• An efficient and generalized consistency correction method for weakly-compressible SPH
• A Lagrangian free-stream boundary condition for weakly compressible smoothed particle hydrodynamics
• A generalized essentially non-hourglass total Lagrangian SPH solid dynamics
• A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network
• N-body simulations of dark matter-baryon interactions
• Adjusting the numerical viscosity in the Godunov-like SPH method at modeling compressible flows