Parallel Implementation of the Particle Finite Element Method - Second Generation

JUAN M. GIMENEZ; NORBERTO M. NIGRO; SERGIO R. IDELSOHN

Buenos Aires

Simposio; V Latin American Symposium on High Performance Computing HPCLatAm 2012; 2013

Particle Finite Element Method - Second Generation (PFEM-2) is a numerical method based on the Lagrangian formulation that uses both particles and a FEM mesh to solve transport equations (both scalar and vectorial), such as heat equation, Navier-Stokes equations and others. The method maximizes the use of explicit strategies, in which the solution at a point, within a time step, is only influenced by a portion of the domain around the point. Although implicit time integration schemes are preferred in the literature against explicit ones, the latter are in a better position attending to the present of hardware technology. This is oriented to the usage of parallel computer and general purpose graphic processor units (GPGPU). This poster presents an implementation of the method in OOP-C++ which parallelizes the execution with the shared memory approach (OpenMP). Accuracy of the solutions and computing times are shown, concluding that the method is able to yield accurate solutions while being competitively fast when compared to state-of-the-art eulerian solvers.