Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme

作者：Escalante C^*; Morales de Luna T; Castro M J

来源：Applied Mathematics and Computation, 2018, 338: 631-659.

DOI：10.1016/j.amc.2018.06.035

• Non-hydrostatic Shallow-Water
• Finite difference
• Finite volume
• GPU
• Tsunami simulation
• Wave breaking

We consider the depth-integrated non-hydrostatic system derived by Yamazaki et al. An efficient formally second-order well-balanced hybrid finite volume finite difference numerical scheme is proposed. The scheme consists of a two-step algorithm based on a projection-correction type scheme initially introduced by Chorin-Temam [15]. First, the hyperbolic part of the system is discretized using a Polynomial Viscosity Matrix 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.

• 出版日期2018-12-1