Numerical modelling of flow in lower urinary tract using high-resolution methods

Brandner, Marek, et al. "Numerical modelling of flow in lower urinary tract using high-resolution methods." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 21-28. <http://eudml.org/doc/271337>.

@inProceedings{Brandner2013,
abstract = {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.},
author = {Brandner, Marek, Egermaier, Jiří, Kopincová, Hana, Rosenberg, Josef},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {urethra flow; model of bladder contraction; detrusor contraction model},
location = {Prague},
pages = {21-28},
publisher = {Institute of Mathematics AS CR},
title = {Numerical modelling of flow in lower urinary tract using high-resolution methods},
url = {http://eudml.org/doc/271337},
year = {2013},
}

TY - CLSWK
AU - Brandner, Marek
AU - Egermaier, Jiří
AU - Kopincová, Hana
AU - Rosenberg, Josef
TI - Numerical modelling of flow in lower urinary tract using high-resolution methods
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 21
EP - 28
AB - 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.
KW - urethra flow; model of bladder contraction; detrusor contraction model
UR - http://eudml.org/doc/271337
ER -