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Lagrangian versus Eulerian integration errors
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DOI：10.1016/j.cma.2015.04.003.png)
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Abstract
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The possibility to use a Lagrangian frame to solve problems with large time-steps was successfully explored previously by the authors for the solution of homogeneous incompressible fluids and also for solving multi-fluid problems (Idelsohn et al. 2012; 2014; 2013). The strategy used by the authors was named Particle Finite Element Method second generation (PFEM-2). The objective of this paper is to demonstrate in which circumstances the use of a Lagrangian frame with particles is more accurate than a classical Eulerian finite element method, and when large time-steps and/or coarse meshes may be used. (C) 2015 Elsevier B.V. All rights reserved.
Keywords:
Numerical integration errors
Particle methods
Multi-fluids flows
Lagrange formulations
Incompressible Navier-Stokes equations
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