Moving Particle Semi-implicit Method: Recent Developments and Applications offers detailed step-by-step guidance for advanced numerical models in the MPS method. With a strong focus on overcoming challenges, such as low improving accuracy and numerical stability, the book also examines the applications of MPS, particularly within nuclear engineering. Beginning with an introduction to grid-based and particle-based numerical methods, the book then reviews the original MPS method. The following chapters examine how the original method can be improved, covering topics such as improved discretization models, stabilization methods, multiphase flow and turbulence models, and improving efficiency. Closing chapters analyse applications in nuclear and ocean engineering, as well as considering future developments and implications. Moving Particle Semi-implicit Method is an essential read for graduates, researchers and engineers interested in nuclear engineering and computational fluid dynamics.