Temporal Accuracy of the Nonequilibrium Radiation Diffusion Equations Applied to Two-Dimensional Multimaterial Simulations
Temporal Accuracy of the Nonequilibrium Radiation Diffusion Equations Applied to Two-Dimensional Multimaterial Simulations
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DOI：
10.13182/nse06-a2624
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发表时间：
2006-10
影响因子：
1.2
通讯作者：
V. Mousseau;D. Knoll
中科院分区：
文献类型：
--
作者：
V. Mousseau;D. Knoll
摘要 研究了应用于二维、多材料、非平衡、辐射扩散模拟的各种一阶和二阶时间积分方法的时间精度。这些方法按其准确性的时间顺序、算法是否包括算子分裂以及算法是否包括线性化进行分类。结果同时测量了不同方法在两个不同测试问题上的准确性和效率。这两个测试问题旨在代表一个简单问题，其中不同的近似可能是准确的，以及一个困难测试问题，将强调不同的解决算法。结果显示了二阶时间精度的重要性以及时间步长控制的重要性。
Abstract A study of the temporal accuracy of a variety of first- and second-order time-integration methods applied to two-dimensional, multimaterial, nonequilibrium, radiation diffusion simulations is presented. These methods are categorized by their temporal order of accuracy, whether the algorithm includes operator splitting, and whether the algorithm includes linearizations. Results are presented that simultaneously measure accuracy and efficiency of the different methods on two different test problems. The two test problems are designed to represent an easy problem, where different approximations may be accurate, and a hard test problem that will stress the different solution algorithms. Results show the importance of being second-order accurate in time and the importance of time-step control.