Spatial Solutions Based on the Smoothed Particle Method and the Finite Element Method—A Hybrid Approach

  • Marcin HojnyEmail author
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 47)


This chapter presents a numerical model of fluid flow (SPH method) and solidification model on the basis of the smoothed particle method and the finite element method (hybrid approach FE+SPH). The formulated models constitutes the foundation of a new conceptual hybrid model combining the advantages of the finite element method and mesh-free methods. Examples of test simulations were presented, and the implemented model in the DEFFEM system was validated by comparing the obtained simulation results with the analytical solution based on the common laws of physics (fluid flow) and physical simulation (solidification).


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Faculty of Metals Engineering and Industrial Computer Science, Department of Applied Computer Science and ModellingAGH University of Science and TechnologyKrakówPoland

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