Grand challenges for Smoothed Particle Hydrodynamics numerical schemes
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. ; Dr. Corrado Altomare acknowledges funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 792370. A. Souto-Iglesias acknowledges the funding by the Spanish Ministry for Science, Innovation and Universities (MCIU) under Grant RTI2018-096791-B-C21 "Hidrodinámica de elementos de amortiguamiento del movimiento de aerogeneradores flotantes". Open access funding provided by Università degli Studi di Parma within the CRUI-CARE Agreement. ; Peer Reviewed ; Postprint (published version)