The cumulant method for the space-homogeneous Boltzmann equation
The cumulant method for the space-homogeneous Boltzmann equation
复制标题
空间齐次玻尔兹曼方程的累积量法
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
K. Hoffmann
中科院分区：
文献类型：
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作者：
S. Seeger;K. Hoffmann
摘要：在这项工作中，我们对空间齐次玻尔兹曼方程的精确 Bobylev/Krook-Wu 解与空间齐次情况的累积量方法的实现所获得的数值结果进行了比较。我们发现，只要使用精确的非线性产生项，累积量方程的数值解与空间齐次玻尔兹曼方程的精确解就非常一致。如果使用产生式项的线性化变体，则可能会由于收敛于线性化方程的解而低估松弛率。
Abstract.In this work we give a comparison of the exact Bobylev/Krook-Wu solution to the space-homogeneous Boltzmann equation and numerical results obtained by a implementation of the cumulant method for the space-homogeneous case. We find excellent agreement of the numerical solution to the cumulant equations with the exact solution of the space-homogeneous Boltzmann equation as long as the exact, non-linear production terms are used. If a linearized variant of the production terms is used, relaxation rates may be underestimated due to convergence to the solution of the linearized equations.