利用SPH方法模拟ls-dyna中的血流,分析其优缺点

M. Topalovic, A. Nikolic, M. Zivkovic
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引用次数: 1

摘要

本研究的目的是探讨在LS-DYNA中使用SPH求解器和SPH- fem耦合进行血流建模的可能性。SPH方法和FEM方法均基于连续介质力学,SPH方法采用拉格朗日材料框架,而FEM方法对固体可以采用拉格朗日公式,对流体可以采用欧拉公式。SPH实现是无网格的,这使它能够在没有网格扭曲的情况下模拟非常大的变形。然而,这需要很高的计算代价,因此在相同流体域的欧拉分析中,SPH粒子的数量需要明显低于FEM单元的数量。在SPH-FEM联合分析中,血管壁采用FEM壳单元模拟,血管内部的血液采用SPH粒子模拟。两者之间的接触使用节点表面算法,而如果我们只使用SPH,则不需要特定的接触定义。SPH方法的拉格朗日框架意味着我们需要在一端产生粒子,并在另一端破坏它们,以产生连续的流体流动。为此,我们使用了激活和停用平面,这是在商用LS-Dyna SPH求解器中实现的解决方案。在论文的结果部分,展示了通过实施所描述的建模方法获得的血液速度场。SPH-FEM耦合提供了更大的可能性来研究壁面变形的影响,跟踪固体颗粒包裹体的运动,或混合两种不同的流体,但它需要复杂的接触定义,与FEM CFD分析相比,分析时间更长。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
BLOOD FLOW SIMULATION USING SPH METHOD IN LS-DYNA, ANALYSIS OF ADVANTAGES AND DISADVANTAGES
The purpose of this research was to investigate the possibility of blood flow modelling in LS-DYNA using its SPH solver and SPH-FEM coupling. SPH and FEM methods are both based on the continuum mechanics, and SPH uses Lagrangian material framework, while FEM can use both Lagrangian for solid, and Eulerian formulation for fluid analysis. SPH implementation is mesh-free giving it the capability to model very large deformations without mesh distortions. However, this comes at a high computational price, so the number of SPH particles needs to be significantly lower in comparison to the number of FEM elements in the Eulerian analysis of the same fluid domain. In the case of combined SPH-FEM analysis, the blood vessel wall is modelled with FEM shell elements, while the blood inside is modelled with SPH particles. The contact between the two is done using nodes to surface algorithm, while if we use the SPH only, there is no need for the specific contact definition. The Lagrangian framework of the SPH method means that we need to generate particles at one end, and to destroy them on the other, in order to generate a continuous fluid flow. To do this we used activation and deactivation planes, which is a solution implemented in the commercial LS-Dyna SPH solver. In the results section of the paper, the velocity field of blood obtained by implementation of described modelling methodology is shown. SPH-FEM coupling offers greater possibilities to study the effects of wall deformations, tracking of movement of solid particle inclusion, or mixing two different fluids, but it requires elaborate contact definition, and prolonged analysis time in comparison to the FEM CFD analysis.
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