Combining Smoother and Residual Calculation in v-cycle AMG for Symmetric Problems

Emans, Maximilian

doi:10.1007/978-3-642-31464-3_66

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Numerical Solution Of the Linear Systems1

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2012

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“…Usually one iteration of this solver is sufficient. The pressure-correction equation of this algorithm is solved by means of k-cycle AMG, see Notay [24]; it has been demonstrated in Emans [12] that this algorithm is efficient for our type of application.…”

Section: Numerical Solution Of the Linear Systemsmentioning

confidence: 99%

Velocity–pressure coupling on GPUs

Emans

Liebmann

2012

Computing

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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%.

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Section: Numerical Solution Of the Linear Systemsmentioning

confidence: 99%