DOI: https://doi.org/10.26089/NumMet.v16r225

A parallel implementation of sediment transport and bottom surface reconstruction problems on the basis of higher-order difference schemes

Authors

  • A.I. Sukhinov
  • A.E. Chistyakov
  • A.A. Semenyakina
  • A.V. Nikitina

Keywords:

sediment transport
bottom relief
parallel algorithms
higher-order difference schemes
diffusion-convection problem
distributed computing

Abstract

Discrete analogs of convective and diffusive transport operators of the fourth order of accuracy are studied in the case of partially filled cells. The numerical results obtained when solving the sediment transport problem on the basis of difference schemes of the second and fourth orders of accuracy are compared. These results show that the accuracy of the solutions to the diffusion problem and the convection-diffusion problem increases by a factor of 66.7 and 48.7, respectively. A library of two-layer iterative methods is built to solve the two-dimensional convection-diffusion problem on the basis of higher-order schemes for nine-diagonal difference equations on a multiprocessor computer system. An algorithm is proposed to reconstruct the submarine bottom topography on the basis of hydrographic information (the water depth at a number of points or contour levels) and its numerical implementation is performed. The proposed method is used to draw a map of the bottom relief of the Azov sea.

New computational technologies

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Published

2015-05-19

Issue

Vol. 16 (2015): Issue 2.

Section

Section 1. Numerical methods and applications

Author Biographies

A.I. Sukhinov

A.P. Chekhov Taganrog Institute
• Dean

A.E. Chistyakov

South Federal University, Institute of Computer Technology and Information Security
• Associate Professor

A.A. Semenyakina

South Federal University, Institute of Computer Technology and Information Security
• PhD Student

A.V. Nikitina

South Federal University, Institute of Computer Technology and Information Security
• Associate Professor

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