Advanced Particle Methods

This book provides an in-depth, comprehensive, and comprehensible description of the theoretical background and numerical methodologies corresponding to advanced particle methods formulated in classical Newtonian mechanics for simulation of fluids, structures, and their interactions. Particle methods are regarded as new-generation computational technology with a broad range of applications in engineering and science. Advanced particle methods refer to the latest developed particle methods with high stability, accuracy, conservation, and convergence properties. Distinctively, the described advanced particle methods are characterized by a clear, consistent mathematical–physical background, the absence of artificial numerical stabilizers that often require parameter tuning, rigorous satisfaction of boundary conditions, and excellent numerical results that have been extensively and scrupulously verified with respect to reliable analytical and experimental reference solutions.

This book presents a unified description for both smoothed particle hydrodynamics (SPH) and moving particle semi-implicit (MPS) methods through a coherent presentation of fundamental equations, and numerical algorithms and schemes. Special attention is devoted to meticulous and coherent explanation of the advanced particle methods such that even undergraduate students can follow the derivation process and thoroughly understand the concepts and equations. The state-of-the-art particle method technology is also portrayed with the presentation of developed multi-physics, multi-scale particle methods corresponding to multi-phase flows, and hydroelastic fluid–structure interactions with rigorous treatment of interfacial moving boundaries.

Dr. Hitoshi Gotoh is a professor of Civil Engineering at Kyoto University, where he received a Ph.D. degree in Civil Engineering. He is the chair of Urban Coast Design Laboratory (Coastal Engineering) in the Department of Civil and Earth Resources Engineering at Kyoto University. His areas of expertise include computational wave dynamics, computational mechanics of sediment transport, modeling of multi-phase flows, and turbulent flows. For more than 20 years, he has led research studies of Lagrangian particle method, solving incompressible fluid flow with violent free-surface motion. His research team has developed many methods to enhance the accuracy of Lagrangian computations of free-surface flow, some of which play key roles in the numerical wave flume. He won Coastal Engineering Journal Awards in 2005, 2008, and 2011. From 2019 to 2021, he had served as the chair of the Coastal Engineering Committee of the Japan Society of Civil Engineers.

Dr. Abbas Khayyer is an associate professor of Civil Engineering at Kyoto University, where he received his Ph.D. degree in 2008. Since then, he has been active in conducting research in the fields of computational fluid dynamics and fluid–structure interactions, developing advanced technology in both fields within the context of particle methods. Dr. Khayyer won the C. H. Kim Award in 2018 from the International Society of Offshore and Polar Engineers (ISOPE), which is awarded annually to one researcher who has made a remarkable contribution to ocean engineering. He acts as a steering and scientific committee member of the SPH rEsearch and engineeRing International Community (SPHERIC), is an associate editor of Applied Ocean Research, Coastal Engineering Journal and International Journal of Offshore and Polar Engineering, and an editorial board member of Ocean Engineering.