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Title: Numerical modelling of flow in lower urinary tract using high-resolution methods (English)
Author: Brandner, Marek
Author: Egermaier, Jiří
Author: Kopincová, Hana
Author: Rosenberg, Josef
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Dolní Maxov, June 3-8, 2012
Issue: 2012
Year:
Pages: 21-28
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Category: math
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Summary: We propose a new numerical scheme based on the finite volumes to simulate the urethra flow based on hyperbolic balance law. Our approach is based on the Riemann solver designed for the augmented quasilinear homogeneous formulation. The scheme has general semidiscrete wave–propagation form and can be extended to arbitrary high order accuracy. The first goal is to construct the scheme, which is well balanced, i.e. maintains not only some special steady states but all steady states which can occur. The second goal is to use this scheme as the component of the complex model of the urinary tract including chemical reactions and contraction of the bladder. (English)
Keyword: urethra flow
Keyword: model of bladder contraction
Keyword: detrusor contraction model
MSC: 65M08
MSC: 76Z05
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Date available: 2015-07-08T06:39:07Z
Last updated: 2023-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/702702
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