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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/6206

Title: Towards the development of a fully coupled arterial-venous 1D model: suitability of using a 1D finite volume method with staggered spatial discretization
Authors: Bogaers, AEJ
De Villiers, AM
Kok, S
Ubbink, O
Franz, T
Reddy, BD
Du Toit, CG
Keywords: 1D blood flow
Finite volume
Staggered discretization
Branching vascular network
Issue Date: Jul-2012
Citation: Bogaers, AEJ, De Villiers, AM, Kok, S, Ubbink, O, Franz, T, Reddy, BD and Du Toit, CG. Towards the development of a fully coupled arterial-venous 1D model: suitability of using a 1D finite volume method with staggered spatial discretization. 10th World Congress on Computational Mechanics (WCCM 2012), Sao Paulo, Brazil, 8-13 July 2012
Series/Report no.: Workflow;9324
Abstract: In this paper we outline the development of a 1D finite volume model to solve for blood flow through the arterial system. The model is based on a staggered spatial discretization which leads to a stable solution scheme. This scheme can accurately capture the various pressure wave reflections at locations with distinct discontinuities (in both area and material properties) as well as naturally treat branching vessels. We investigate the behaviour and performance of the solver for both a stented and branching vessel and finally for a full arterial network consisting of 55 arteries within the human vascular network.
Description: 10th World Congress on Computational Mechanics (WCCM 2012), Sao Paulo, Brazil, 8-13 July 2012
URI: http://hdl.handle.net/10204/6206
ISBN: 9788586686702
Appears in Collections:Advanced mathematical modelling and simulation
General science, engineering & technology

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