摘要
通过调节已有的C-O限制器中的参数,得到限制器C-O1.92,同时给出了针对一维标量方程与方程组的熵守恒、熵稳定和熵相容格式的构造方法.将所得到的通量限制器C-O1.92与SM限制器分别嵌入熵相容格式中,得到一类高分辨率的熵相容格式,同时给出了对于Euler方程的3个特征场的限制器的选择方法.利用一维Burgers方程、Euler方程以及浅水波方程对添加不同限制器的熵相容格式进行对比试验,验证了同时添加限制器SM和C-O1.92的熵相容格式具有无振荡、高分辨率和稳健的特点.
The parameters in the exiting limiter C-O were modified to propose a new flux limiter C-O1.92,at the same time,the construction methods of entropy conservation,entropy stability and entropy consistent schemes for one-dimensional scalar equation and equation system were given.Then flux limiters C-O1.92and SM were inserted into the consistent scheme to construct the high resolution consistent scheme,furthermore,the limiter selection method for the three characteristic fields of the Euler equation was given.The one-dimensional Burger equation,Euler equation and shallow-water equation were carefully selected to test and compare the proposed schemes.Compared the results computed by the different schemes,the numerical experiments demonstrates the robustness and essentially non-oscillation of the consistent scheme which constructed by SM and C-O1.92limiters.
作者
魏伟平
封建湖
WEI Weiping;FENG Jianhu(School of Mathematical,Henan Institute of Science and Technology,Xinxiang 453003,China;School of Science,Chang’an University,Xi’an 710064,China)
出处
《河南科技学院学报（自然科学版）》
2017年第6期55-63,共9页
Journal of Henan Institute of Science and Technology(Natural Science Edition)
基金
国家自然科学基金(11171403)
关键词
双曲守恒律
限制器
熵相容
高分辨率
hyperbolic conservation laws
limiter
consistent scheme
high resolution
