The Numerical Simulation of Shallow Water: Estimation of the Roughness Coefficient on the Flood Stage

Khrapov, S. S.; Pisarev, Andrey V.; Kobelev, Ivan A.; Zhumaliev, Artur G.; Agafonnikova, Ekaterina; Losev, Alexander; Хоперсков, А. В.

doi:10.1155/2013/787016

Cited by 32 publications

(37 citation statements)

References 32 publications

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“…Let us particularly emphasize the presence of the dynamic boundaries between matter and vacuum. The same problem appears in the case of the free water surface modeling in reservoirs at Earth's conditions [9].…”

Section: Introductionmentioning

confidence: 76%

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Supercomputing

2017

Communications in Computer and Information Science

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Parallel implementation features of self-gravitating gas dynamics modeling on multiple GPUs are considered applying the GPU-Direct technology. The parallel algorithm for solving of the selfgravitating gas dynamics problem based on hybrid OpenMP-CUDA parallel programming model has been described in detail. The gas-dynamic forces are calculated by the modified SPH-method (Smoothed Particle Hydrodynamics) while the N-body problem gravitational interaction is obtained by the direct method (so-called Particle-Particle algorithm).The key factor in the SPH-method performance is creation of the neighbor lists of the particles which contribute into the gas-dynamic forces calculation. Our implementation is based on hierarchical grid sorting method using a cascading algorithm for parallel computations of partial sums at CUDA block. The parallelization efficiency of the algorithm for various GPUs of the Nvidia Tesla line (K20, K40, K80) is studied in the framework of galactic' gaseous halos collisions models by the SPHmethod 1 .

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Section: Introductionmentioning

confidence: 76%

“…eliminates clustering of particles and increases the stability of the numerical algorithm. From equation (9) it follows that lim…”

Section: The Numerical Schemementioning

confidence: 99%

Supercomputing

2017

Communications in Computer and Information Science

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“…where S n is the area of the wetted watercourse cross-section. The bottom roughness coefficient for the hydraulic resistance value calculations should be represented in the form [20,13,14,15]:…”

Section: The Problem Of Determining the Manning Coefficient In The Chmentioning

confidence: 99%

Bottom friction models for shallow water equations: Manning’s roughness coefficient and small-scale bottom heterogeneity

Dyakonova¹,

Хоперсков²

2018

J. Phys.: Conf. Ser.

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The correct description of the surface water dynamics in the model of shallow water requires accounting for friction. To simulate a channel flow in the Chezy model the constant Manning roughness coefficient is frequently used. The Manning coefficient nM is an integral parameter which accounts for a large number of physical factors determining the flow braking. We used computational simulations in a shallow water model to determine the relationship between the Manning coefficient and the parameters of small-scale perturbations of a bottom in a long channel. Comparing the transverse water velocity profiles in the channel obtained in the models with a perturbed bottom without bottom friction and with bottom friction on a smooth bottom, we constructed the dependence of nM on the amplitude and spatial scale of perturbation of the bottom relief.

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“…We used a numerical model of the shallow water dynamics and we took into account all the main factors of the territory flooding [11]:…”

Section: The Subsystem Of Hydrodynamic Modeling Of Floodsmentioning

confidence: 99%

Decision Support System for Urbanization of the Northern Part of the Volga-Akhtuba Floodplain (Russia) on the Basis of Interdisciplinary Computer Modeling

Voronin

Isaeva

Хоперсков

et al. 2017

Communications in Computer and Information Science

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There is a computer decision support system (CDSS) for urbanization of the northern part of the Volga-Akhtuba floodplain. This system includes subsystems of cognitive and game-theoretic analysis, geoinformation and hydrodynamic simulations. The paper presents the cognitive graph, two-level and three-level models of hierarchical games for the cases of uncontrolled and controlled development of the problem situation. We described the quantitative analysis of the effects of different strategies for the spatial distribution of the urbanized territories. For this reason we conducted the territory zoning according to the level of negative consequences of urbanization for various agents. In addition, we found an analytical solution for games with the linear dependence of the average flooded area on the urbanized area. We numerically computed a game equilibrium for dependences derived from the imitational geoinformation and hydrodynamic modeling of flooding. As the result, we showed that the transition to the three-level management system and the implementation of an optimal urbanization strategy minimize its negative consequences.

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The Numerical Simulation of Shallow Water: Estimation of the Roughness Coefficient on the Flood Stage

Cited by 32 publications

References 32 publications

Supercomputing

Supercomputing

Bottom friction models for shallow water equations: Manning’s roughness coefficient and small-scale bottom heterogeneity

Decision Support System for Urbanization of the Northern Part of the Volga-Akhtuba Floodplain (Russia) on the Basis of Interdisciplinary Computer Modeling

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