论文标题
有效的粗糙校正牙菌斑生长模拟中平行时间步长的校正
Efficient coarse correction for parallel time-stepping in plaque growth simulations
论文作者
论文摘要
为了使动脉粥样硬化斑块生长的数值模拟可行，采用了时间同质化方法。通过使用平行时间积分方案（例如瘫痪算法），可以进一步加速斑块生长的宏观尺度问题。但是，并行的可伸缩性由粗糙传播器的计算成本主导。因此，在本文中，引入了基于插值的粗繁殖物，该粗糙传播器使用先前计算的微尺度问题的生长值。对于一个简单的模型问题，可以表明这种方法降低了单个麻痹迭代的计算工作以及所需数量的麻痹迭代次数。
In order to make the numerical simulation of atherosclerotic plaque growth feasible, a temporal homogenization approach is employed. The resulting macro-scale problem for the plaque growth can be further accelerated by using parallel time integration schemes, such as the parareal algorithm. However, the parallel scalability is dominated by the computational cost of the coarse propagator. Therefore, in this paper, an interpolation-based coarse propagator, which uses growth values from previously computed micro-scale problems, is introduced. For a simple model problem, it is shown that this approach reduces both the computational work for a single parareal iteration as well as the required number of parareal iterations.
