A Fast GPU-Accelerated Mixed-Precision Strategy for Fully Nonlinear Water Wave Computations

S. L. Glimberg (), A. P. Engsig-Karup () and M. G. Madsen ()
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S. L. Glimberg: Technical University of Denmark, Department of Informatics and Mathematical Modelling
A. P. Engsig-Karup: Technical University of Denmark, Department of Informatics and Mathematical Modelling
M. G. Madsen: Technical University of Denmark, Department of Informatics and Mathematical Modelling

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 645-652 from Springer

Abstract: Abstract We present performance results of a mixed-precision strategy developed to improve a recently developed massively parallel GPU-accelerated tool for fast and scalable simulation of unsteady fully nonlinear free surface water waves over uneven depths (Engsig-Karup et al., Int J Num Meth, 2011). The underlying wave model is based on a potential flow formulation, which requires efficient solution of a Laplace problem at large-scales. We report recent results on a new mixed-precision strategy for efficient iterative high-order accurate and scalable solution of the Laplace problem using a multigrid-preconditioned defect correction method. The improved strategy improves the performance by exploiting architectural features of modern GPUs for mixed precision computations and is tested in a recently developed generic library for fast prototyping of PDE solvers. The new wave tool is applicable to solve and analyze large-scale wave problems in coastal and offshore engineering.

Keywords: Defect Correction Method; Mixed Precision; Graphics Processing Units (GPU); Laplace Problem; Potential Flow Formulation (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-3-642-33134-3_68

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