并发隐式频域延迟修正方案用于低马赫数燃烧与详细化学反应
Concurrent Implicit Spectral Deferred Correction Scheme for Low-Mach Number Combustion with Detailed Chemistry
AI总结：
本文提出了一种并行隐式-显式时间积分方案，用于解决低马赫数燃烧方程组中出现的对流-扩散-反应系统，通过并行化方法加速了用于耦合对流、扩散和反应过程的串行多隐式频域延迟修正（MISDC）方案，展示了该方案在处理刚性问题时的稳定性及收敛速度的提升。
摘要：
我们提出了一种并行隐式-显式时间积分方案，用于解决由低马赫数燃烧方程组所导致的对流-扩散-反应系统。我们的策略通过方法并行化来加速用于耦合对流、扩散和反应过程的串行多隐式频域延迟修正（MISDC）方案。在我们的方法中，称为并发隐式频域延迟修正（CISDC），扩散求解和反应求解由不同的处理器同时进行。我们的分析表明，所提出的并行方案对于刚性问题是稳定的，并且扫掠收敛到固定点解的速度比串行MISDC更快。我们通过数值示例展示了新算法在时间上的高阶精度以及与串行MISDC相比的并行加速效果。
英文摘要：
We present a parallel implicit-explicit time integration scheme for the advection-diffusion-reaction systems arising from the equations governing low-Mach number combustion with complex chemistry. Our strategy employs parallelization across the method to accelerate the serial Multi-Implicit Spectral Deferred Correction (MISDC) scheme used to couple the advection, diffusion, and reaction processes. In our approach, referred to as Concurrent Implicit Spectral Deferred Correction (CISDC), the diffusion solves and the reaction solves are performed concurrently by different processors. Our analysis shows that the proposed parallel scheme is stable for stiff problems and that the sweeps converge to the fixed-point solution at a faster rate than with serial MISDC. We present numerical examples to demonstrate that the new algorithm is high-order accurate in time, and achieves a parallel speedup compared to serial MISDC.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
