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Abstract

 
 
 In this work we study coupled incompressible viscous flow and advective-diffusive trans- port of a scalar. Both the Navier-Stokes and transport equations are solved using an Eulerian approach. The SUPG/PSPG stabilized finite element formulation is applied for the governing equations. The implementation is held using the libMEsh finite element library which provides support for parallel adaptive mesh refinement and coarsening. The Rayleigh-B ́enard natural convection and the planar lock-exchange density current problems are solved to assess the adaptive parallel performance of the numerical solution.
 
 
Highlights
The numerical simulation of current engineering problems would not be feasible without the advent of parallel computing
In order to keep the focus on the issues related to the numerical problem, we use the libMesh framework, which is a C++ library for parallel adaptive mesh refinement/coarsening numerical multiphysics simulations based on the finite element method [2]
The cluster is located at the High-Performance Computing Center (NACAD) of the Federal University of Rio de Janeiro, Brazil
Summary
The numerical simulation of current engineering problems would not be feasible without the advent of parallel computing. According to [1] scaling performance is problematic because the vision of seamless scalability cannot be achieved without having the applications scale automatically as the number of processors increases For this to happen, the applications have to be programmed to exploit parallelism efficiently. In order to keep the focus on the issues related to the numerical problem, we use the libMesh framework, which is a C++ library for parallel adaptive mesh refinement/coarsening numerical multiphysics simulations based on the finite element method [2].
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