Simulating left ventricular fluid-solid mechanics through the cardiac cycle under LVAD support

Simulating left ventricular fluid-solid mechanics through the cardiac cycle under LVAD support
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DOI:
10.1016/j.jcp.2012.08.008
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发表时间:
2013-07-01
影响因子:
4.1
通讯作者:
Smith, N. P.
Smith, N. P.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
McCormick, M.;Nordsletten, D. A.;Smith, N. P.

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在这项研究中,我们集成了对标准牛顿-拉夫森/线搜索算法的新修改和流体-固体边界处内插方案的优化,以便能够在左心室辅助装置(LVAD)的支持下模拟心脏左心室内的流固相互作用。线搜索修改与雅可比重用相结合,在测试和整个心脏模拟中的计算时间都提高了近一个数量级。流体-固体边界上的单元内插方案的优化突出了这种选择对问题稳定性的影响,并证明了与线性流体单元相比,高阶内插可以改善每个自由度的误差减少。合并这些修改使得能够在LVAD支持下模拟完整的心脏周期。这些模拟结果表明,在LVAD流量恒定的情况下,与舒张期晚期相比,进入室内室的血液在早期的清除速度较慢。(C)2012 Elsevier Inc.保留所有权利。
In this study we have integrated novel modifications of the standard Newton-Raphson/line search algorithm and optimisation of the interpolation scheme at the fluid-solid boundary to enable the simulation of fluid-solid interaction within the cardiac left ventricle under the support of a left ventricular assist device (LVAD). The line search modification combined with Jacobian reuse produced close to an order of magnitude improvement in computational time across both test and whole heart simulations. Optimisation of element interpolation schemes on the fluid-solid boundary highlights the impact this choice can have on problem stability and demonstrates that, in contrast to linear fluid elements, higher order interpolation produces improved error reduction per degree of freedom. Incorporating these modifications enabled a full heart cycle under LVAD support to be modelled. Results from these simulations show that there is slower clearance of blood entering the chamber during early compared to late diastole under conditions of constant LVAD flow. (c) 2012 Elsevier Inc. All rights reserved.