矩方程组的稀疏熵求积方法
Sparse entropic quadrature for moment equations
- RWTH Aachen（亚琛工业大学）
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AI总结：
本文研究稀疏熵求积方法用于稀薄气体动力学矩方程组的封闭，证明其适定、双曲且稳定，并在两个模型问题中验证其能以更少自由度再现稀薄效应。
AI中文摘要：
本文研究了稀疏熵求积方法的性质，该方法最近被提出用于稀薄气体动力学中矩方程组的封闭。我们证明了该方法在适定性、双曲性以及一阶空间对流格式稳定性方面的性质。我们将该方法应用于两个稀薄气体动力学模型问题，并将结果与离散速度方法给出的结果进行比较，表明该方法能够在显著少于离散速度方法的自由度数的情况下再现稀薄气体效应。
英文摘要：
In the present work, we study the properties of the sparse entropic quadrature method, a recently proposed method for the closure of systems of moment equations in rarefied gas dynamics. We prove the properties of the method regarding its well-posedness, hyperbolicity, and stability for first-order spatial convection schemes. We apply the method to two model rarefied gas dynamics problems and compare the results with those given by a discrete velocity method and show that it is capable of reproducing rarefied gas effects whilst having significantly fewer degrees of freedom than the discrete velocity method.
