Smoothed Particle Hydrodynamics in LS-DYNA


The objective of this course is to provide engineers with the fundamental theoretical background on the SPH formulation, the available formulations, implementations, and the latest developments of the SPH method coupled with the Lagrangian formulation in LS-DYNA, teach engineers how to use the SPH options. Detailed descriptions of the data required to run LS-DYNA analysis are given. Examples are used to illustrate the points made in the lectures.


The instructor for this course is Dr. Jingxiao Xu. Lectures begin daily at 9:00 a.m. and run until 5:30 p.m. The classroom machines are PCs running Linux (CA) or Windows (MI).


  • SPH formulation fundamentals
    • History of the Method, Variable Smoothing Length
    • Spatial Discretisation of Continuum Equations, Characteristic Lengths
    • Kernel Functions, Method Consistency, Concept of Renormalization
    • Lagrangian, Eulerian Forms of SPH, SPH/Lagrangian Coupling
  • Practical examples of SPH and SPH/Lagrangian coupling
    • General Capabilities/Applications
    • Details of an Example: Control Input, Material, Sections, Parts, Outputs
    • Boundary Conditions, Contacts, SPH/Lagrangian Coupling Options
    • LS-PREPOST: Creation of SPH Particles, Visualization of SPH Particles