From its early days the SPH method has been criticised for shortcomings namely tensile instability and consistency. Without thorough understanding of attempts were made to make classical consistent stable which resulted in local Total Lagrangian forms similar finite element method. In this paper we derived analysed a nonlocal similarity with Bazant’s imbricate continuum. addition, provides comp...

We present a novel approach to accelerate astrophysical hydrodynamical simulations. In astrophysical many-body simulations, GRAPE (GRAvity piPE) system has been widely used by many researchers. However, in the GRAPE systems, its function is completely fixed because specially developed LSI is used as a computing engine. Instead of using such LSI, we are developing a special purpose computing sys...

Fluid simulation based on smoothed particle hydrodynamics (SPH) is a practical method for the representation of liquids in interactive applications like virtual surgical training or computer games. In recent years various papers introduced ideas for both, the SPH simulation and its visualization. This thesis explains detailed a straightforward CPU-executed implementation of the simulation, as w...

A new distributed parallel SPH programming scheme using AMR (adaptive mesh refinement) background grid is proposed, in which the size of a grid is decided based on maximal smoothed length of local particles. In detonation simulation, computational complexity of the new scheme is better than O(NlgN) which is the best order of magnitude in the previous methods. Several hypervelocity impact proble...

Meshfree particle method, which is always regarded as a pure Lagrangian approach, is easily represented complicated domain topologies, moving boundaries, and multiphase media. Solving acoustic problems with the mesfree particle method forms a branch of the acoustic wave modeling field, namely, particle-based computational acoustics (PCA). The aim of this paper is to improve the accuracy of usin...

In this paper we describe an adaptive softening length formalism for collisionless N−body and self-gravitating Smoothed Particle Hydrodynamics (SPH) calculations which conserves momentum and energy exactly. This means that spatially variable softening lengths can be used in N−body calculations without secular increases in energy. The formalism requires the calculation of a small additional term...