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

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 . 2011) . The underlying wave model is based on a potential flow formulation , which requires efficient solution of a Laplace prob - lem 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 .