IMPROVED VOLUME CONSERVATION IN THE COMPUTATION OF FLOWS WITH IMMERSED ELASTIC BOUNDARIES

IMPROVED VOLUME CONSERVATION IN THE COMPUTATION OF FLOWS WITH IMMERSED ELASTIC BOUNDARIES
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DOI:
10.1006/jcph.1993.1051
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发表时间:
1993-03-01
影响因子:
4.1
通讯作者:
PRINTZ, BF
PRINTZ, BF
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
PESKIN, CS;PRINTZ, BF

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本文介绍了一种构造有限差分散度算子的方法,一旦选择了一种内插方案,它的系数就完全确定了。用这种发散算子代替以前使用的基于中心差的发散算子,使得浸没边界计算中观察到的总体体积守恒有了显著的改善。这一改进对于计算特别重要,在计算中,弹性边界将在本质上不同压力下包含液体的腔室分开,这种情况在脑室收缩期间的心脏流体动力学中是突出的。
This paper introduces a recipe for the construction of a finite-difference divergence operator the coefficients of which are completely determined once an interpolation scheme has been chosen. Substitution of this divergence operator for the previously used divergence based on central differences makes a dramatic improvement in the overall volume conservation that is observed in an immersed-boundary computation. This improvement is particularly important for computations in which an elastic boundary separates chambers containing fluid at substantially different pressures, a situation which is prominent in cardiac fluid dynamics during the contraction of the ventricles.