An algorithm for computing a stationary flow in a binary bifurcation tree
Title | An algorithm for computing a stationary flow in a binary bifurcation tree |
Publication Type | Journal Article |
Year of Publication | 2021 |
Authors | GodwinKakuba,, Berntsson, F, VladimirKozlov, |
Journal | Applied Numerical Mathematics |
Volume | 159 |
Pagination | 125-137 |
Date Published | January 2021 |
Keywords | Bifurcation treeFixed point iterationFlow simulationConvergence proofNumerical examplesBlood circulation |
Abstract | In this work we propose an algorithm for computing a stationary flow in a bifurcation tree. Our idea is to divide the tree into smaller basic blocks, each corresponding to one bifurcation, and solve a sequence of flow problems for the individual blocks. Numerical experiments demonstrate that the algorithm works well. We give a criteria for convergence that can be verified numerically and also an analytical convergence proof for an important special case. |
URL | https://www.sciencedirect.com/science/article/abs/pii/S016892742030252X |
DOI | 10.1016/j.apnum.2020.08.017 |