Elementary wave interactions in blood flow through artery. (English) Zbl 1374.76242
Summary: In this paper, we consider the Riemann problem and interaction of elementary waves for the quasilinear hyperbolic system of conservation laws that arises in blood flow through arteries. We study the properties of solution involving shocks and rarefaction waves and establish the existence and uniqueness conditions. We show that the Riemann problem is solvable for arbitrary initial data under certain condition and construct the condition for no-feasible solution. Finally, we present numerical examples with different initial data and discuss all possible interactions of elementary waves.{
©2017 American Institute of Physics}
©2017 American Institute of Physics}
MSC:
| 76Z05 | Physiological flows |
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 92C35 | Physiological flow |
Software:
HE-E1GODFReferences:
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