SPH and ISPG for Fluid, Structure and FSI Problems


This course overviews the SPH and ISPG (incompressible smoothed particle Galerkin) formulations. We will discuss the theoretical background and implementation. We will also present the latest developments including coupling these methods with the Lagrange formulation in LS-DYNA. We will also emphasize the advantages and disadvantages of these methods and the suitability of these methods for various applications, including fluid and solid simulations. We will give detailed descriptions of the data required to run LS-DYNA analyses. Examples illustrate points made in the lecture.

Learning Outcome

Following the completion of this course, you will be able to:

  • Understand the fundamental theoretical background on the explicit SPH (such as structure and thermal solvers, the available formulations, kernel functions, consistency issues, stability issues).
  • Creation of SPH Particles models by using LS-Prepost, Visualization of SPH Particles for pre and post process.
  • Understand the details of an SPH Example: Control Input, Material, Sections, Parts, Outputs.
  • Know how to apply boundary Conditions, Contacts, SPH / Lagrangian Coupling Options, Thermal options for SPH, Interaction options between two SPH parts and between SPH and other particle methods.
  • Understand the advantages and disadvantages of the different SPH formulations also on which SPH and are suitable for various applications including fluid, structure and FSI simulations.
  • Understand the fundamental theories of incompressible smoothed particle Galerkin (ISPG) and its advantage in the simulation of surface tension and wall adhesion effects in the 3D reflow process.
  • Know how to set up the keywords for ISPG simulation including control input, section, material and coupling of ISPG and solid parts.
  • Understand the details of ISPG examples in the solder reflowing simulation.


  • Introduction class of LS-DYNA.

Target Audience: Aerospace, Automotive, Manufacturing and Electronic industries Engineers, Fluids Engineers, Combustion Engineers, Thermal Engineers.

Teaching Method: Lectures and computer practical sessions to validate acquired knowledge.

Learning Options: Training materials for this course are available with an Ansys Learning Hub Subscription. If there is no active public schedule available, private training can be arranged. Please contact us.



Topics Covered :

SPH Formulation Fundamentals

  • History of the method
    • Variable smoothing length
    • Different SPH formulations
  • Spatial discretization of continuum equations
    • Characteristic lengths
  • Kernel functions, Method consistency, Concept of renormalization
  • La­grangian /­ Eulerian forms of SPH & SPH­ ­ ­La­grangian Coupling
  • Thermal formulations for SPH
    • Thermal coupling options between SPH and solid parts
  • Multiple coupling options (interaction methods) between:
    • Different SPH parts
    • SPH particles & solid elements or other particle methods (such as SPG, DEM, Peridynamics)

ISPG Formulation Fundamentals

  • Implicit SPG formulation
    • Spatial discretization
    • Momentum consistency
    • Second-order projection scheme
    • Pressure Poisson equation
  • Coupling between finite element and ISPG element for contact modeling
  • Surface tension and wall adhesion model

Examples of SPH & SPH / Lagrangian Coupling 

  • General capabilities/applications (solids & fluids)
  • Details of an example
    • Control input
    • Material
    • Sections
    • Parts
    • Output
  • Boundary Conditions
  • Contacts
  • SPH / ­grangian­ Cou­pling Op­tions
  • Thermal options for SPH
  • Interaction options between two SPH parts and between SPH and other particle methods (such as DEM, SPG)
  • Creation & visualization of SPH particles using LS-PrePost

Examples of ISPG 

  • General capabilities/applications
  • Details of an example
    • Control Input
    • Material
    • Sections
    • Parts
    • Output
  • Boundary conditions
  • Contacts
  • LS-PrePost & input decks

Agenda :

This is a 2-day classroom course covering both lectures and workshops. For virtual training, this course is covered over 4 x 2-hour sessions lectures only.

Virtual Classroom Session 1 / Live Classroom Day 1

  • Single Bullet points of Modules & Workshops (include titles for both)
  • Module 1: Short introduction to SPH in Ls-Dyna and it’s applications.
  • Module 2: Theory aspect of SPH (consistency issue, stability issues, kernel functions, boundary conditions).
  • Module 7: Workshop: problem 1-6.

Virtual Classroom Session 2 / Live Classroom Day 1

  • Module 3: Detailed descriptions about SPH related keywords option in Ls-Dyna.
  • Module 4: SPH explicit thermal solver, related thermal keyword, boundary conditions and SPH thermal coupling with Solids.
  • Module 7: Workshop: problem 7-15.

Virtual Classroom Session 3 / Live Classroom Day 2

  • Module 5: Details about coupling options between SPH parts also between SPH and Solids, DEM, SPG, Peridynamics.
  • Module 6:LS-Prepost for SPH.
  • Module 7: Workshop: problem 16-29.

Virtual Classroom Session 4 / Live Classroom Day 2

  • Module 8: Short introduction to ISPG in LS-DYNA and its application
  • Module 9: Theory aspect of ISPG (MC smoothing algorithm, incompressible solver)
  • Module 10: Benchmark test for ISPG
  • Module 11: Algorithm for surface tension and wall adhesion
  • Module 12: Keyword setup for ISPG simulation in LS-DYNA
  • Workshop: Problem 1-5
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