High-Order Discontinuous Galerkin Method for Boltzmann Model Equations
High-Order Discontinuous Galerkin Method for Boltzmann Model Equations
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DOI：
10.2514/6.2008-4256
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发表时间：
2008-06
期刊：
影响因子：
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通讯作者：
Alina A. Alexeenko;Cyril Galitzine;A. Alekseenko
中科院分区：
文献类型：
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作者：
Alina A. Alexeenko;Cyril Galitzine;A. Alekseenko
将高阶Runge-Kutta间断Galerkin(DG)方法应用于描述稀薄气体流动的动力学模型方程。对于Bhatnagar-Gross-Krook和椭球统计模型，给出了非线性碰撞弛豫项的守恒DG离散化。用四阶RKDG方法对平行板之间的换热和正激波两个流动问题进行了数值求解。比较了RKDG方法与传统的二阶有限体积法在求解热传导问题时的收敛性能。用RKDG得到的正激波解与激波内部密度和速度分布函数的实验测量结果进行了比较。
High-order Runge-Kutta discontinuous Galerkin (DG) method is applied to the kinetic model equations describing rarefied gas flows. A conservative DG discretization of nonlinear collision relaxation term is formulated for Bhatnagar-Gross-Krook and ellipsoidal statistical models. The numerical solutions using RKDG method of order up to four are obtained for two flow problems: the heat transfer between parallel plates and the normal shock wave. The convergence of RKDG method is compared with the conventional secondorder finite volume method for the heat transfer problem. The normal shock wave solutions obtained using RKDG are compared with the experimental measurements of density and velocity distribution function inside the shock.