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Reduction of Computational Complexity in Simulations of the Flow Process in Transmission Pipelines

Abstract

The paper addresses the problem of computational efficiency of the pipe-flow model used in leak detection and identification systems. Analysis of the model brings attention to its specific structure, where all matrices are sparse. With certain rearrangements, the model can be reduced to a set of equations with tridiagonal matrices. Such equations can be solved using the Thomas algorithm. This method provides almost the same values of the state vector and maintains stability for the same discretization grid, while the computational overhead is thus significantly reduced.

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Copyright (Springer International Publishing AG 2018)

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Details

Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Published in:
Advances in Intelligent Systems and Computing no. 635, pages 241 - 252,
ISSN: 2194-5357
Title of issue:
Advanced Solutions in Diagnostics and Fault Tolerant Control strony 241 - 252
Language:
English
Publication year:
2018
Bibliographic description:
Kowalczuk Z., Tatara M. S., Stefański T.: Reduction of Computational Complexity in Simulations of the Flow Process in Transmission Pipelines// Advanced Solutions in Diagnostics and Fault Tolerant Control/ ed. Jan M. Kościelny, Michał Syfert, Anna Sztyber Cham: Springer, 2018, s.241-252
DOI:
Digital Object Identifier (open in new tab) 10.1007/978-3-319-64474-5_20
Verified by:
Gdańsk University of Technology

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