Non-Hydrostatic Pressure Shallow Flows: GPU Implementation Using Finite-Volume and Finite-Difference Scheme
Departamento de Analisis Matematico, Estadistica e Investigacion Operativa, y Matematica Aplicada, Universidad de Malaga, Spain
arXiv:1706.04551 [math.NA], (14 Jun 2017)
@article{escalante2017nonhydrostatic,
title={Non-Hydrostatic Pressure Shallow Flows: GPU Implementation Using Finite-Volume and Finite-Difference Scheme},
author={Escalante, C. and Luna, T. Morales de and Castro, M.J.},
year={2017},
month={jun},
archivePrefix={"arXiv"},
primaryClass={math.NA}
}
We consider the depth-integrated non-hydrostatic system derived by Yamazaki et al. An efficient formally second-order well-balanced hybrid finite volume/difference numerical scheme is proposed. The scheme consists in a two-step algorithm. First, the hyperbolic part of the system is discretized using a PVM path-conservative finite-volume method. Second, the dispersive terms are solved by means of compact finite differences. A new methodology is also presented to handle wave breaking over complex bathymetries. This adapts well to GPU-architectures and guidelines about its GPU implementation are introduced. The method has been applied to idealized and challenging experimental test cases, which shows the efficiency and accuracy of the method.
June 17, 2017 by hgpu
