Grand challenges for Smoothed Particle Hydrodynamics numerical schemes

TLDR

Smoothed Particle Hydrodynamics (SPH) is a meshless method applied from astrophysics to industrial mixing, achieving notable successes yet still requiring development to overcome barriers to broader adoption. This paper reviews the SPH Grand Challenges, presenting their status and outlining future development areas to guide researchers, developers, and users. SPHERIC has identified and grouped the SPH Grand Challenges into five categories—convergence, consistency and stability, boundary conditions, adaptivity, coupling to other models, and industry applicability—providing a structured framework for addressing these issues.

Abstract

Abstract This paper presents a brief review of grand challenges of Smoothed Particle Hydrodynamics (SPH) method. As a meshless method, SPH can simulate a large range of applications from astrophysics to free-surface flows, to complex mixing problems in industry and has had notable successes. As a young computational method, the SPH method still requires development to address important elements which prevent more widespread use. This effort has been led by members of the SPH rEsearch and engineeRing International Community (SPHERIC) who have identified SPH Grand Challenges. The SPHERIC SPH Grand Challenges (GCs) have been grouped into 5 categories: (GC1) convergence, consistency and stability, (GC2) boundary conditions, (GC3) adaptivity, (GC4) coupling to other models, and (GC5) applicability to industry. The SPH Grand Challenges have been formulated to focus the attention and activities of researchers, developers, and users around the world. The status of each SPH Grand Challenge is presented in this paper with a discussion on the areas for future development.