论文标题
多物种玻尔兹曼方程的HERMITE光谱法
Hermite spectral method for multi-species Boltzmann equation
论文作者
论文摘要
我们引入了基于Hermite光谱法的完整多物种玻尔兹曼方程的数值方案。通过适当选择不同物种的扩展中心，得出了一种实用算法来评估复杂的多物种二进制碰撞操作员。新的碰撞模型是通过将二次碰撞模型和Hermite光谱方法框架下的简单BGK碰撞模型组合起来构建的，这使我们能够平衡计算成本和准确性。实施了几个数值实验，以验证这种新的Hermite光谱方法的急剧效率。此外，我们可以处理多达100种的问题，这远远超出了最先进的算法的能力。
We introduce a numerical scheme for the full multi-species Boltzmann equation based on Hermite spectral method. With the proper choice of expansion centers for different species, a practical algorithm is derived to evaluate the complicated multi-species binary collision operator. New collision models are built by combining the quadratic collision model and the simple BGK collision model under the framework of the Hermite spectral method, which enables us to balance the computational cost and accuracy. Several numerical experiments are implemented to validate the dramatic efficiency of this new Hermite spectral method. Moreover, we can handle the problems with as many as 100 species, which is far beyond the capability of the state-of-art algorithms.
