湍流燃烧模拟中化学反应的加速算法研究进展

为研究湍流燃烧数值模拟中化学反应机理计算的加速方法，讨论了动态自适应化学（Dynamic Adaptive Chemistry，DAC）方法和Krylov子空间近似的指数格式的应用情况。在湍流火焰大涡模拟中，使用DAC简化可以加速化学反应计算。然而，在并行燃烧数值模拟中，处理器核心的负载极度不平衡，加速效果有限。而Krylov子空间近似的指数格式的加速效果可以作用于每个处理器核心，更有利于整体计算效率的提高。在同等精度下，相比于隐式格式耦合DAC和MTS加速方法，Krylov子空间近似的指数积分格式对化学反应计算的加速效果更为显著。

Progress on acceleration algorithm of the computation for chemical reactions in turbulent combustion simulation

To investigate the methods of accelerating the computation of chemical kinetics in turbulent combustion, the application of Dynamic Adaptive Chemistry (DAC) and exponential integrator with Krylov subspace approximation is discussed. In the large eddy simulation of a turbulent flame, using DAC can accelerate the computation of chemical kinetics. However, in the context of parallel combustion simulation, the loads on the different processors are extremely imbalanced, which limits its performance. For the exponential integrator with Krylov subspace approximation, the acceleration effect acts on each processor, which is beneficial to improve the global computational efficiency. Compared to that of the implicit scheme coupled with DAC and MTS, the accelerating performance of the exponential integrator with Krylov subspace approxi-mation under the same level of accuracy is more obvious.