Mathematical Physics - Volume II - Numerical Methods

Numerical method - SPH III 5 Review of Development of the Smooth Particle Hydrodynam ics (SPH) Method . . . . . . . . . 161 5.1 Introduction 5.2 Basic Formulation 5.3 Conservation Equations 5.4 Kernel Function 5.5 Variable Smoothing Length

5.6 Neighbour Search 5.7 SPH Shortcomings 5.8 Derivation of Normalised Cor rected Gradient SPH formula 5.9 Tensile Instability 5.10 Zero-Energy Modes 5.11 Non-Local properties of SPH 5.12 Summary

Bibliography . . . . . . . . . . . . . 203

IV Numerical method - CMD

213