Velocity–pressure coupling on GPUs

Abstract

We explore the possibilities to accelerate simulations in computational fluid dynamics (CFD) by additional graphics processing units (GPUs). By examining some examples of stationary incompressible flows from the industrial practice we demonstrate that the potential speedup obtained by deploying GPU accelerated linear solvers alone is limited if standard segregated algorithms are used. However, recently presented velocity-pressure coupling algorithms are an attractive alternative to these segregated algorithms. We present an efficient AMG solver for the coupled linear system of mixed elliptichyperbolic character and show that the GPU-accelerated version of this linear solver accelerates the velocity-pressure coupling scheme by almost 50% compared to a competitive CPU implementation. Compared to standard segregated methods, the computing time of the whole simulation is reduced by up to 75%.

An implicit algorithm of solving Navier–Stokes equations to simulate flows in anisotropic porous media

“…It is possible to speed-up the convergence by using an algorithm for the coupled velocitypressure simulation, which is based on an implicit relationship of the momentum and continuity equations [Darwish et al, 2009]. In some studies [Darwish et al, 2009;Emans & Liebmann, 2013;Chen & Przekwas, 2010;Shterev & Stefanov, 2010;Mangani, 2010] this algorithm is used to simulate laminar flows of viscous compressible and incompressible fluids. It demonstrated a several-fold increase of the convergence rate on a sequence of condensed meshes in comparison with the SIMPLE algorithm.…”

Many–Core Sustainability by Pragma Directives

“…Flux computations on GPUs have been investigated in [2]. The potential of GPUs for CFD with respect to performance has been proven in [3] if the code can be fully matched with the GPU. The rigidity of the solver design leaves little margin for modifications.…”