Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme. Escalante, C., Morales de Luna, T., & Castro, M. J. Applied Mathematics and Computation, 338:631–659, December, 2018. ![Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex 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.
@Article{Escalante2018Non,
author = {Escalante, C. and Morales de Luna, T. and Castro, M. J.},
title = {Non-hydrostatic pressure shallow flows: {GPU} implementation using finite volume and finite difference scheme},
journal = {Applied Mathematics and Computation},
year = {2018},
volume = {338},
pages = {631--659},
month = dec,
issn = {0096-3003},
abstract = {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.},
doi = {10.1016/j.amc.2018.06.035},
keywords = {Finite difference, Finite volume, GPU, Non-hydrostatic Shallow-Water, Tsunami simulation, Wave breaking},
shorttitle = {Non-hydrostatic pressure shallow flows},
url = {http://www.sciencedirect.com/science/article/pii/S0096300318305241},
urldate = {2018-10-25},
}
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