Modified Characteristics Gauge–Uzawa Finite Element Method for Time Dependent Conduction–Convection Problems
Modified Characteristics Gauge–Uzawa Finite Element Method for Time Dependent Conduction–Convection Problems
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DOI：
10.1007/s10915-013-9721-0
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发表时间：
2014
影响因子：
2.5
通讯作者：
Z. Si;Xiaogang Song;Pengzhan Huang
中科院分区：
文献类型：
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作者：
Z. Si;Xiaogang Song;Pengzhan Huang
本文将修正特征有限元法与Gauge-Uzawa方法相结合，给出了求解时变导热-对流问题的修正特征Gauge-Uzawa有限元法。给出了稳定性分析和误差分析，表明该方法是稳定的，具有最优收敛阶。为了显示MCGUFEM的效果，给出了一些数值结果。从数值结果可以看出，MCGUFEM能很好地模拟流场、温度场和压力场，并且在高Grashoff数时MCGUFEM比GUFEM更适用。
In this paper, we give the modified characteristics Gauge–Uzawa finite element method (MCGUFEM) for time dependent conduction–convection problems, which is gotten by combining the modified characteristics finite element method and the Gauge–Uzawa method. The stability analysis and the error analysis, which shows that our method is stable and has optimal convergence order, are given. In order to show the effect of MCGUFEM, some numerical results are presented. From the numerical results, we can see that MCGUFEM can simulate the fluid field, temperature field and pressure field very well, and MCGUFEM works better for high Grashoff numberthan GUFEM.