An assessment of the potential of PFEM-2 for solving long real time industrial applications

GIMENEZ JUAN; RAMAJO DAMIAN; MARQUEZ DAMIAN SANTIAGO; NIGRO NORBERTO MARCELO; IDENSHON SERGIO

Computational Particle Mechanics Computational Particle Mechanics

Springer

Año: 2016 p. 1 - 26

The latest generation of the Particle Finite Element Method (PFEM-2) is a numerical method based on the Lagrangian formulation of the equations which presents advantages in terms of robustness and efficiency over classical Eulerian methodologies when certain kind of flows are simulated, specially those where convection plays an important role. These situations are often encountered in real engineering problems, where very complex geometries and operating conditions require very large and long computations. It is well known the advantages that the parallelism introduced in the computational fluid dynamics making affordable computations with very fine spatial discretizations. However, the time is not possible to be parallelized, even though the effort that is being dedicated to use space-time formulations. In this sense PFEM-2 adds a valuable feature, its strong stability with little loss of accuracy provides an interesting way of satisfying the real life computation needs. After being demonstrated in previous publications its ability to achieve academic based solutions with a good compromise between accuracy and efficiency, in this work the method is revisited and employed to solve sev-eral non-academic problems of technological interest which fall into that category.Simulations concerning to oil-water separation, waste-water treatment, metallurgical foundries and safety assessment are presented. These cases are selected due to their particular requirements of needing long simulation times and/or intensive interface treatment. Thus, large time-steps may be employed with PFEM-2 without compromising the accuracy and robustness of the simulation, as occurs with Eulerian alternatives, showing the potentiality of the methodology for solving notonly academic tests but also real engineering problems.