An MLSPH algorithm for free surface flows in engineering applications

Publisher Summary In this chapter, an algorithm based on moving least squares particle hydrodynamics (MLSPH) to solve free surface flow is presented. MLS shape functions remarkably improve stability and accuracy of standard SPH algorithms, providing a clear framework for the derivation of the discretized equations. Numerical performance is tested through two free surface flow simulations. The numerical analysis of a wide variety of problems dealing with large deformations, complex domains, etc., takes up a huge computational effort if classical numerical techniques, such as FE, FD or BE methods are used. Two numerical examples demonstrate the adequacy of the method proposed to simulate free surface flows in engineering applications. Meshless methods have gained force in recent years and appear to be useful and efficient tools in this context because no mesh generation is needed during the discretization process and complex phenomena. Adaptivity can also be addressed with relative ease, and the ability of smoothed particle hydrodynamics method to handle severe distortions allows this technique to be successfully applied to simulate free surface flows.