Key result
A two-step Lax-Wendroff finite-difference technique demonstrated the existence of shock-waves in current one-dimensional mathematical models of aortic blood flow.
This mathematical modeling study reveals that standard one-dimensional models of aortic blood flow inherently predict non-physiological shock-waves, suggesting the need for more complex models incorporating visco-elasticity or multi-dimensional flow.
Standard 1D aortic flow models may yield non-physiological shocks; leaves open whether viscoelastic or multidimensional refinements are required.
The one-dimensional, non-linear theory of pulse propagation in large arteries is examined in the light of the analogy which exists with gas dynamics. Numerical evidence for the existence of shock-waves in current one-dimensional blood-flow models is presented. Some methods of suppressing shock-wave development in these models are indicated.
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Lawrence K. Forbes (1981) studied Aortic blood flow. Lax-Wendroff finite-difference scheme vs. Hartree method was evaluated on Presence of shock-waves in numerical solutions. A two-step Lax-Wendroff finite-difference technique demonstrated the existence of shock-waves in current one-dimensional mathematical models of aortic blood flow.
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