GPGPU implementation of the BFECC algorithm for pure advection equations
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- Costarelli, S.D., Storti, M.A., Paz, R.R. et al. Cluster Comput (2014) 17: 243. doi:10.1007/s10586-013-0329-9
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In the present work an implementation of the Back and Forth Error Compensation and Correction (BFECC) algorithm specially suited for running on General-Purpose Graphics Processing Units (GPGPUs) through Nvidia’s Compute Unified Device Architecture (CUDA) is analyzed in order to solve transient pure advection equations. The objective is to compare it to a previous explicit version used in a Navier-Stokes solver fully written in CUDA. It turns out that BFECC could be implemented with unconditional stable stability using Semi-Lagrangian time integration allowing larger time steps than Eulerian ones.