Bogaers, Alfred EJDe Villiers, AMKok, SUbbink, OFranz, TReddy, BDDu Toit, CG2012-10-222012-10-222012-07Bogaers, 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 20129788586686702http://hdl.handle.net/10204/620610th World Congress on Computational Mechanics (WCCM 2012), Sao Paulo, Brazil, 8-13 July 2012In 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.en1D blood flowFinite volumeStaggered discretizationBranching vascular networkConference PresentationBogaers, A. E., De Villiers, A., Kok, S., Ubbink, O., Franz, T., Reddy, B., & Du Toit, C. (2012). Towards the development of a fully coupled arterial-venous 1D model: suitability of using a 1D finite volume method with staggered spatial discretization. http://hdl.handle.net/10204/6206Bogaers, Alfred EJ, AM De Villiers, S Kok, O Ubbink, T Franz, BD Reddy, and CG Du Toit. "Towards the development of a fully coupled arterial-venous 1D model: suitability of using a 1D finite volume method with staggered spatial discretization." (2012): http://hdl.handle.net/10204/6206Bogaers AE, De Villiers A, Kok S, Ubbink O, Franz T, Reddy B, et al, Towards the development of a fully coupled arterial-venous 1D model: suitability of using a 1D finite volume method with staggered spatial discretization; 2012. http://hdl.handle.net/10204/6206 .TY - Conference Presentation AU - Bogaers, Alfred EJ AU - De Villiers, AM AU - Kok, S AU - Ubbink, O AU - Franz, T AU - Reddy, BD AU - Du Toit, CG AB - 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. DA - 2012-07 DB - ResearchSpace DP - CSIR KW - 1D blood flow KW - Finite volume KW - Staggered discretization KW - Branching vascular network LK - https://researchspace.csir.co.za PY - 2012 SM - 9788586686702 T1 - Towards the development of a fully coupled arterial-venous 1D model: suitability of using a 1D finite volume method with staggered spatial discretization TI - Towards the development of a fully coupled arterial-venous 1D model: suitability of using a 1D finite volume method with staggered spatial discretization UR - http://hdl.handle.net/10204/6206 ER -