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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.
CitacióIdelsohn, S.R., Oñate, E., Nigro, N., Becker, P., Gimenez, J. Lagrangian versus Eulerian integration errors. "Computer methods in applied mechanics and engineering", Agost 2015, vol. 293, p. 191-206.