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Heterogeneous computing and exploiting integrated CPU-GPU architectures hasbecome a clear current trend since the flattening of Moore's Law. In this work,we propose a numerical and algorithmic re-design of a p-adaptivequadrature-free discontinuous Galerkin method (DG) for the shallow waterequations (SWE). Our new approach separates the computations of thenon-adaptive (lower-order) and adaptive (higher-order) parts of thediscretization form each other. Thereby, we can overlap computations of thelower-order and the higher-order DG solution components. Furthermore, weinvestigate execution times of main computational kernels and use automaticcode generation to optimize their distribution between the CPU and GPU. Severalsetups, including a prototype of a tsunami simulation in a tide-driven flowscenario, are investigated, and the results show that significant performanceimprovements can be achieved in suitable setups.

p-adaptive discontinuous Galerkin method for the shallow water equations on heterogeneous computing architectures