Application of the method of characteristics for the study of shock waves in models of blood flow in the aorta

Cardiovascular Engineering

Volumn 7, Issue 1, 2007, Pages 1-6

  Shoucri, R M ^a   Shoucri, M M ^b  

^a ROYAL MILITARY COLLEGE OF CANADA   (Canada)

^b HYDRO QUÉBEC   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; AORTA FLOW; ARTERY WALL; ARTICLE; BLOOD VISCOSITY; FLOW RATE; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; NONLINEAR SYSTEM; SHOCK WAVE;

ANIMALS; AORTA; BLOOD FLOW VELOCITY; BLOOD PRESSURE; COMPUTER SIMULATION; HUMANS; MODELS, CARDIOVASCULAR;

EID: 34247102340     PISSN: 15678822     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10558-007-9024-x     Document Type: Article

References (11)

1. Anliker M, Rockweel RL, Ogden E. Nonlinear analysis of flow pulses and shock waves in arteries, Part I. Zeit Angew Math Phys 1971;22:217-46; Part II. Zeit Angew Math Phys 1971;22:563-81
2. Jones CJH, Parher KH, Hughes R, Sheridan DJ. Nonlinearity of the human arterial pulse wave transmission. J Biomech Eng 1992;114:10-4
3. Lanoye LL, Vierendeels JA, Segers P, Verdonck PR. Wave intensity analysis of ventricular filling. J Biomech Eng 2005;127:862-7
4. MacRae JM, Sun Y-H, Isaac DL, Dobson GM, Cheng C-P, Little WC, Parker KH, Tyberg KH. Wave-intensity analysis: A new approach to left ventricular filling dynamics. Heart Vessels 1997;12:53-9
5. Niederer PF. Damping mechanisms and shock-like transitions in the human arterial tree. Zeit Angew Math Phys 1985;36:205-18
6. Parker KH, Jones CJH. Forward and backward running waves in the arteries: Analysis using the method of characteristics. J Biomech Eng 1990;112:322-6
7. Pohn E, Shoucri MM, Kamelander G. The eulerian Vlasov codes. Comp Phys Comm 2005;166:81-93
8. Rudinger G. Shock waves in mathematical models of the aorta. J Appl Mech 1970;37:34-7
9. Shoucri MM. Numerical calculations of discontinuities by shape preserving splines. J Comp Phys 1983;49:334-8
10. Shoucri MM, Gagné R. Splitting schemes for the the numerical solution of a two-dimensional Vlasov equation. J Comp Phys 1978;27:315-22
11. Toro EF. Riemann solvers and numerical methods for fluid dynamics. 2nd ed. Berlin: Springer; 1999