scholarly journals Application of Graphics Processing Units for Self-Consistent Modelling of Shallow Water Dynamics and Sediment Transport

2020 ◽  
Vol 41 (8) ◽  
pp. 1475-1484
Author(s):  
S. S. Khrapov ◽  
A. V. Khoperskov
Author(s):  
Christian F. Janßen ◽  
Sebastian Bengel ◽  
Thomas Rung ◽  
Hendrik Dankowski

The paper reports the extension of a Lattice Boltzmann model for the nonlinear viscous shallow water equations (NSW) and its application to the simulation of internal flood water dynamics. The solver is accelerated with the help of NVIDIAs CUDA framework to access the computational power of graphics processing units (GPGPUs). The model is validated with typical tank sloshing and cross flooding scenarios and the results are compared to analytical solutions and the results of a state-of-the-art shallow water solver on the basis of Glimm’s method.


2020 ◽  
Vol 120 (3-4) ◽  
pp. 319-336
Author(s):  
Xintao Li ◽  
Shoujun Huang ◽  
Weiping Yan

This paper studies the wave-breaking mechanism and dynamical behavior of solutions near the explicit self-similar singularity for the two component Camassa–Holm equations, which can be regarded as a model for shallow water dynamics and arising from the approximation of the Hamiltonian for Euler’s equation in the shallow water regime.


2009 ◽  
Vol 80 (3) ◽  
pp. 598-618 ◽  
Author(s):  
Miguel Lastra ◽  
José M. Mantas ◽  
Carlos Ureña ◽  
Manuel J. Castro ◽  
José A. García-Rodríguez

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