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Article

Brandner, Marek ; Egermaier, Jiří ; Kopincová, Hana ; Rosenberg, Josef
Numerical modelling of flow in lower urinary tract using high-resolution methods. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 21-28
MSC: 65M08, 76Z05
Keywords:
urethra flow; model of bladder contraction; detrusor contraction model
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.
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