【摘要】：構造矩形網格下求解Lagrangian坐標系下氣動方程組的單元中心型格式.空間離散采用控制體積間斷Petrov-Galerkin方法,時間離散采用二階TVD Runge-Kutta方法.利用限制器來抑制非物理震蕩并保證RKCV算法的穩(wěn)定性.構造的算法可以保證物理量的局部守恒.與Runge-Kutta間斷Galerkin(RKDG)方法相比較,RKCV方法的計算公式少一項積分項使得計算較簡單.給出一些數值算例驗證了算法的可靠性及效率.
[Abstract]:An element central scheme for solving pneumatic equations in Lagrangian coordinate system in rectangular grid is constructed. The control volume discontinuity Petrov-Galerkin method is used for spatial discretization, and the second order Runge-Kutta method is used for time discretization. The limiter is used to suppress the non-physical concussion and ensure the stability of the RKCV algorithm. The constructed algorithm can ensure the local conservation of physical quantities. Compared with Runge-Kutta intermittent Galerkin (RKDG) method, the calculation formula of RKCV method is less than one integral term, which makes the calculation easier. Some numerical examples are given to verify the reliability and efficiency of the algorithm.
【作者單位】： 包頭師范學院數學科學學院;北京應用物理與計算數學研究所計算物理實驗室;
【基金】：National Natural Science Foundation of China(11261035,11571002) Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(NJYT-15-A07) Natural Science Foundation of Inner Mongolia Autonomous Region,China(2015MS0108,2012MS0102) Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region,China(NJZZ12198) Science and Technology Development Foundation of CAEP(2015B0101021) Defense Industrial Technology Development Program(B1520133015)
【分類號】：O241.82

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