Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast fourier transform
Numerical solution of the Boltzmann equation using a fully conservative difference scheme based on the fast fourier transform
复制标题
使用基于快速傅里叶变换的完全保守差分格式对玻尔兹曼方程进行数值求解
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
S. Rjasanow
中科院分区：
文献类型：
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作者：
A. Bobylev;S. Rjasanow
摘要考虑了一种基于快速傅里叶变换（FFT）的求解含麦克斯韦分子的玻尔兹曼方程的有效确定性方法。证明了离散解的整体存在性、唯一性和有限性。描述了一种有效的宏观量守恒方法。给出了一些数值试验的结果。
Abstract An effective deterministic method based on the Fast Fourier Transform (FFT) for the Boltzmann equation with Maxwell molecules is considered. The global existence, uniqueness and limitedness of the discrete solution is proved. An effective procedure for the conservation of the macroscopic quantities is described. The results of some numerical tests are presented.