Introduction of an Adaptive Smoothed Particles Hydrodynamics Formulation. Issue 1 (December 2014)

• Record Type: Journal Article
• Authors: Schnabel, Dirk; Müller, Alexandra; Eberhard, Peter
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 14:Issue 1(2014)
• Page Start: 621
• Page End: 622
• Publication Date: 2014-12
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201410298
• Languages: English
• ISSNs: 1617-7061

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>In this work an adaptive Smoothed Particles Hydrodynamics (SPH) formulation is presented which is capable of adjusting the discretization level of a simulation at runtime. In order to increase and decrease the local resolution, the adaptive refinement and coarsening approach introduced in literature was extended to merge a userdefined number of particles at each simulation step. Depending on the simulation different coarsening strategies may be advantageous. Considering for example an SPH formulation for elastic solids, the particles discretizing the continuum experience considerably less disordering than in fluid simulations allowing for an advanced coarsening algorithm which takes each particles refinement history under consideration and preferably merges particles originating from one and the same particle, whereas in SPH for fluids such a strategy would not be reasonable since fluid particles usually experience great relative displacement. Hence different coarsening strategies may be recommended for different simulation scenarios. (© 2014 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</p> </abstract>