Some issues in modelling venous haemodynamics

Numerical Methods for Hyperbolic Equations: Theory and Appl., An Int. Conf. to Honour Professor E.F. Toro - Proc. of the Int. Conf. on Numerical Methods for Hyperbolic Equations: Theory and Appl.

Volumn , Issue , 2013, Pages 347-354

  Müller, Lucas O ^a   Montecinos, Gino I ^a   Toro, Eleuterio F ^a  

^a UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD FLOW; EFFICIENCY BENEFITS; HAEMODYNAMICS; HIGH-ORDER; NON-LINEAR METHODS; ORDER OF ACCURACY; RIEMANN PROBLEM; SOURCE TERMS; SPACE AND TIME;

HEMODYNAMICS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS;

NUMERICAL METHODS;

EID: 84870543344     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. Alastruey, J., Khir, A.W., Matthys, K.S., Segers, P., Sherwin, S.J., Verdonck, P.R., Parker, K.H. and Peiró, J (2011, August). Pulse wave propagation in a model human arterial network: Assessment of 1-D visco-elastic simulations against in vitro measurements. Journal of Biomechanics 44(12), 2250-8.
2. Blanco, P., Leiva, J., Feijóo, R. and Buscaglia, G. (2011, March). Black-box decomposition approach for computational hemodynamics: One-dimensional models. Computer Methods in Applied Mechanics and Engineering 200(13-16), 1389-1405.
3. Brook, B.S., Falle, S. and Pedley, T.J. (1999). Numerical solutions for unsteady gravity-driven flows in collapsible tubes: evolution and roll-wave instability of a steady state. Journal of Fluid Mechanics 396(1), 223-256. (Pubitemid 129657791)
4. Brook, B.S. and Pedley, T.J. (2002). A model for timedependent flow in (giraffe jugular) veins: uniform tube properties. Journal of Biomechanics 35, 95-107. (Pubitemid 34017355)
5. Castro, C.E. and Toro, E.F. (2008, February). Solvers for the high-order Riemann problem for hyperbolic balance laws. Journal of Computational Physics 227(4), 2481-2513.
6. Dumbser, M., Enaux, C. and Toro, E.F. (2008, April). Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. Journal of Computational Physics 227(8), 3971-4001.
7. Formaggia, L. and Lamponi, Daniele, A. Quarteroni (2003). One-dimensional models for blood flow in arteries. Journal of Engineering Mathematics 47(3/4), 251-276.
8. Formaggia, L., Quarteroni, A. and Veneziani, A. (2009). Cardiovascular Mathematics: Modeling and simulation of the circulatory system, Volume 1. Springer Verlag.
9. Fullana, J. and Zaleski, S. (2009). A branched onedimensional model of vessel networks. Journal of Fluid Mechanics 621, 183-204.
10. Hidalgo, A. and Dumbser, M. (2011, October). ADER Schemes for Nonlinear Systems of Stiff AdvectionDiffusionReaction Equations. Journal of Scientific Computing 48(1), 173-189.
11. Marchandise, E. and Flaud, P. (2010, January). Accurate modelling of unsteady flows in collapsible tubes. Computer Methods in Biomechanics and Biomedical Engineering 13(2), 279-90.
12. Pedley, T.J., Brook, B.S. and Seymour, R.S. (1996). Blood Pressure and Flow Rate in the Giraffe Jugular Vein. Philosophical Transactions: Biological Sciences 351, 855-866.
13. Shapiro, A.H. (1977). Steady Flow in Collapsible Tubes. Journal of Biomechanical Engineering 99, 126-147.
14. Sherwin, S., Franke, V., Peiró, J and Parker, K. (2003, December). One-dimensional modelling of a vascular network in space-time variables. Journal of Engineering Mathematics 47(3/4), 217-250. (Pubitemid 38136068)
15. Titarev, V.A. and Toro, E.F. (2005, April). ADER schemes for three-dimensional non-linear hyperbolic systems. Journal of'Computational Physics 204(2), 715-736. (Pubitemid 40435828)
16. Toro, E.F. (2001). Shock-capturing methods for freesurface shallow flows. Wiley and Sons Ltd.
17. Toro, E.F., Millington, R. and Nejad, L. (2001). Towards very high order Godunov schemes. In E. Toro (Ed.), Godunov Methods. Theory and Applications, Number July, New York, Boston and London, pp. 905-938. Kluwer/Plenum Academic Publishers.
18. Toro, E.F. and Siviglia, A. (2011). Simplified blood flow model with discontinous vessel properties. In G Ambrosi, Davide; Quarteroni, Alfio; Rozza (Ed.), Modeling of Physiological Flows. Springer.
19. Toro, E.F. and Titarev, V.A. (2002, February). Solution of the generalized Riemann problem for advectionreaction equations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 455(2018), 271-281.