Key result
Applying the Hartree hybrid method with fine numerical grid spacing to one-dimensional non-linear aortic blood-flow models predicts the existence of a shock-wave in the vicinity of the heart.
High-resolution numerical modeling of one-dimensional arterial blood flow equations predicts non-physiological shock-wave formation near the heart, suggesting these standard equations inadequately represent true large artery hemodynamics.
Questions validity of standard 1D aortic flow equations; leaves open their adequacy for physiological modeling.
The “Hartree hybrid method” has recently been employed in one-dimensional non-linear aortic blood-flow models, and the results obtained appear to indicate that shock-waves could only form in distances which exceed physiologically meaningful values. However, when the same method is applied with greater numerical accuracy to these models, the existence of a shock-wave in the vicinity of the heart is predicted. This appears to be contrary to present belief.
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Lawrence K. Forbes (1979) studied Arterial blood flow. Hartree hybrid method (fine grid spacing) vs. Hartree hybrid method (coarse grid spacing) was evaluated on Prediction of shock-wave formation. Applying the Hartree hybrid method with fine numerical grid spacing to one-dimensional non-linear aortic blood-flow models predicts the existence of a shock-wave in the vicinity of the heart.
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