A Numerical Simulation of the Shallow Water Flow on a Complex Topography

Хоперсков, А. В.; Khrapov, S. S.

doi:10.5772/intechopen.71026

Cited by 14 publications

(17 citation statements)

References 43 publications

(83 reference statements)

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“…Для численного решения системы уравнений (1), (2) применяется CSPH-TVD (Combined Smooth Particle Hydrodynamics -Total Variation Diminishing) метод [11], основанный на лагранжево-эйлеровом подходе. Серии вычислительных экспериментов проводились с использованием параллельной программной реализации метода для графических ускорителей NVIDIA с технологией CUDA [8; 12].…”

Section: численная модель затопленияunclassified

Modeling of Flooding of Settlements During the Spring Flood

Klikunova

Dyakonova

Agafonnikova

et al. 2021

MPCS

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The problem of flooding of territories with flood waters for settlements of the Volgograd region is considered. A numerical model of flood water dynamics is constructed, taking into account the topography of the terrain. The simulation is based on two-dimensional shallow water equations. For computational experiments, a parallel implementation of the numerical scheme CSPH-TVD for NVIDIA graphics accelerators with CUDA technology is used. The digital model of the river-bed and floodplain relief is based on spatial data SRTM3 and SRTMGL, topographic maps of the area, longitudinal profiles of rivers. The water flow rates for the Buzuluk and Perevozinka rivers are determined and a hydrograph of the Volga hydroelectric power station is constructed for the given probabilities of exceeding the water level. Flood maps were obtained for the following localities: Novoannisky, Berezovka 1st, kh. Vyazovka. The maximum values of the depths for 1 %, 3 %, 5 %, 10 %, 25 % and 50 % of water security are presented. An analysis of the flood situation was carried out and appropriate engineering and protective measures for settlements were proposed. At maximum flood water levels, residential buildings of kh. Berezovka 1-I are not subject to flooding. In order to minimize the negative impact for the city of Novoanninsky, it is proposed to carry out timely clearing of the river-bed of the Perevozinka river from congestion. To protect from flooding ch. Vyazovka it is recommended to use diversion dyke.

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Section: численная модель затопленияunclassified

Modeling of Flooding of Settlements During the Spring Flood

Klikunova

Dyakonova

Agafonnikova

et al. 2021

MPCS

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“…We use the Combined Smoothed Particle Hydrodynamic method (CSPH-TVD), which contains the Lagrangian stage (modified Smoothed Particle Hydrodynamic, or SPH) and the Euler stage (modified Total Variation Diminishing, or TVD) [15]. The consistent use of these two stages during the integration provides several important positive properties that can be achieved with less computational resources [16,30]. The equation ( 1) imposes additional constraints on the stability of the entire numerical CSPH-TVD algorithm compared to the single-layer shallow water model considered in [16,30].…”

Section: математическая модельmentioning

confidence: 99%

“…The consistent use of these two stages during the integration provides several important positive properties that can be achieved with less computational resources [16,30]. The equation ( 1) imposes additional constraints on the stability of the entire numerical CSPH-TVD algorithm compared to the single-layer shallow water model considered in [16,30]. Nonlinear terms of the diffusion type in the equation ( 1) due to the relation (2) affect the stability condition, which takes the form:…”

Section: математическая модельmentioning

confidence: 99%

“…Recently advantages of the architecture of modern GPUs have been successfully used to solve a wide range of mathematical problems [8][9][10][11][12][13][14] thus making usage of the parallel computing on GPUs even more topical for a broad range of academical and applied problems. In this work, we discuss a combined SPH-TVD method for the numerical integration of the Saint-Venant and Exner equations which was proposed previously in our works [15,16]. In this paper, we extend our approach for the modelling of self-consistent dynamics of surface water and sediment.…”

Section: Introductionmentioning

confidence: 98%

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

Khrapov

Хоперсков

2020

Lobachevskii J Math

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In this paper, we describe a numerical algorithm for the self-consistent simulations of surface water and sediment dynamics. The method is based on the original Lagrangian-Eulerian CSPH-TVD approach for solving the Saint-Venant and Exner equations, taking into account the physical factors essential for the understanding of the shallow water and surface soil layer motions, including complex terrain structure and its evolution due to sediment transport. Additional Exner equation for sediment transport has been used for the numerical CSPH-TVD scheme stability criteria definition. By using OpenMP-CUDA and GPUDirect technologies for hybrid computing systems (supercomputers) with several graphic coprocessors (GPUs) interacting with each other via the PCI-E / NVLINK interface we also develop a parallel numerical algorithm for the CSPH-TVD method. The developed parallel version of the algorithm demonstrates high efficiency for various configurations of Nvidia Tesla CPU + GPU computing systems. In particular, maximal speed up is 1800 for a system with four C2070 GPUs compare to the serial version for the CPU. The calculation time on the GPU V100 (Volta architecture) is reduced by 95 times compared to the GPU C2070 (Fermi architecture).

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“…6) Hydrodynamic modeling is carried out at the final stage ( Fig. 3a, b), reproducing the spring flooding of the interfluve territory in accordance with the procedure described in [1,3,22]. This allows you to check the channels connectedness of the hydrological system in addition to the morphostructural analysis.…”

Section: We Often Encounter Two Types Of Artifacts: A) Strong Local Ementioning

confidence: 99%

Creation of digital elevation models for river floodplains

Klikunova

Хоперсков

2019

Proceedings of the v International Conference Information Technology and Nanotechnology 2019

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A procedure for constructing a digital elevation model (DEM) of the northern part of the Volga-Akhtuba interfluve is described. The basis of our DEM is the elevation matrix of Shuttle Radar Topography Mission (SRTM) for which we carried out the refinement and updating of spatial data using satellite imagery, GPS data, depth measurements of the River Volga and River Akhtuba stream beds. The most important source of high-altitude data for the Volga-Akhtuba floodplain (VAF) can be the results of observations of the coastlines dynamics of small reservoirs (lakes, eriks, small channels) arising in the process of spring flooding and disappearing during low-flow periods. A set of digitized coastlines at different times of flooding can significantly improve the quality of the DEM. The method of constructing a digital elevation model includes an iterative procedure that uses the results of morphostructural analysis of the DEM and the numerical hydrodynamic simulations of the VAF flooding based on the shallow water model. 0 Cite as: Klikunova A.Yu., Khoperskov A.V. Creation of digital elevation models for river floodplains // CEUR

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A Numerical Simulation of the Shallow Water Flow on a Complex Topography

Cited by 14 publications

References 43 publications

Modeling of Flooding of Settlements During the Spring Flood

Modeling of Flooding of Settlements During the Spring Flood

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

Creation of digital elevation models for river floodplains

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