Practical Effects of Integrating Temperature with Strang Split Reactions
Practical Effects of Integrating Temperature with Strang Split Reactions
复制标题
温度与奇异分裂反应积分的实际效果
DOI：
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
A. Harpole
中科院分区：
文献类型：
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作者：
M. Zingale;M. Katz;D. Willcox;A. Harpole
许多天体物理环境涉及热核反应驱动的对流或爆炸流（Ia型超新星，经典新星，X射线爆发，恒星演化）。模拟代码需要准确地捕捉反应和流体动力学之间的相互作用，以产生这些事件的真实模型。对于天体物理反应流，算子分裂通常用于耦合流体动力学和反应。每个过程彼此独立地操作，但是通过以对称方式交错更新（经由斯特朗分裂），可以实现时间上的二阶精度。然而，通常对反应体系进行近似，包括选择是否将温度与物质结合。在这里，我们证明了通过一个简单的收敛性测试，集成的能量方程与反应达到最佳的收敛性时，建模反应流与斯特朗分裂。此外，如果不对能量或温度方程进行积分，则无法实现二阶收敛。
Many astrophysical environments involve convective or explosive flows driven by thermonuclear reactions (Type Ia supernovae, classical novae, X-ray bursts, stellar evolution). Simulation codes need to accurately capture the interactions between reactions and hydrodynamics to produce realistic models of these events. For astrophysical reacting flows, operator splitting is commonly used to couple hydrodynamics and reactions. Each process operates independent of one another, but by staggering the updates in a symmetric fashion (via Strang splitting) second order accuracy in time can be achieved. However, approximations are often made to the reacting system, including the choice of whether or not to integrate temperature with the species. Here we demonstrate through a simple convergence test that integrating an energy equation together with reactions achieves the best convergence when modeling reactive flows with Strang splitting. Additionally, second order convergence cannot be achieved without integrating an energy or temperature equation.