This is the repository for the source code to the publication Meshless Methods for Large Deformation Elastodynamics which can be retrieved from arxiv. The purpose of this publication is to compare the performance of a host of different meshless methods with regard to their performance in large deformation elasto-dynamic problems. This repository contains implementation of the following papers, often with some alterations:

• Gray, J. P., J. J. Monaghan, and R. P. Swift. "SPH elastic dynamics." Computer methods in applied mechanics and engineering 190.49-50 (2001): 6641-6662.
• Parshikov, Anatoly N., and Stanislav A. Medin. "Smoothed particle hydrodynamics using interparticle contact algorithms." Journal of computational physics 180.1 (2002): 358-382.
• Reveles, Juan R. "Development of a total Lagrangian SPH code for the simulation of solids under dynamioc loading." (2007).
• Jun, Sukky, Wing Kam Liu, and Ted Belytschko. "Explicit reproducing kernel particle methods for large deformation problems." International Journal for Numerical Methods in Engineering 41.1 (1998): 137-166.
• Becker, Markus, Markus Ihmsen, and Matthias Teschner. "Corotated SPH for Deformable Solids." NPH. 2009.
• Müller, Matthias, et al. "Point based animation of elastic, plastic and melting objects." Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation. Eurographics Association, 2004.

Additionaly, an updated Lagrangian as well as a Total Lagrangian FEM algorithm is implemented to provide reference simulations. Results are written to disk using the legacy vtk format, which can be viewed using paraview.

mfree_iwf does not need any dependencies and has been written in C++14, although a C++11 compatible compiler might suffice (not tested). Makefiles for both a Debug and Release build are provided. mfree_iwf was developed at ETH Zurich and was written by:

• Matthias Röthlin ([email protected])
• Hagen Klippel ([email protected])

mfree_iwf is free software and licensed under GPLv3

Some screenshots from typical results below: