## 留言板

 引用本文: 朱刚, 沈孟育, 刘秋生, 王保国. 修正Taylor－Galerkin有限元法的构造及其在可压缩流场计算中的应用[J]. 应用数学和力学, 1996, 17(4): 319-325.
Zhu Gang, Shen Mengyu, Liu Qiusheng, Wang Baoguo. Construction of Modified Taylor-Galerkin Finite Elements and its Application in Compressible Flow Computation[J]. Applied Mathematics and Mechanics, 1996, 17(4): 319-325.
 Citation: Zhu Gang, Shen Mengyu, Liu Qiusheng, Wang Baoguo. Construction of Modified Taylor-Galerkin Finite Elements and its Application in Compressible Flow Computation[J]. Applied Mathematics and Mechanics, 1996, 17(4): 319-325.

## Construction of Modified Taylor-Galerkin Finite Elements and its Application in Compressible Flow Computation

• 摘要: 本文从Tarlor-Galerkin有限元法出法,对它作了根本性的改进,构造了修正Tarlor-Galerkin算法,并用新、旧两种算法分别对亚、超音速的流场情况作了计算。计算结果表明,在达到同样计算精度的前提下,新方法较之老方法在收敛速度上有明显改进,结果是令人满意的。
•  [1] T.J.Oden,Adaptive Afethods.for- Problems in Solid and Fluid Mechanics,John Wiley and Sons Ltd.,London(1986). [2] T.J.Chung.Finite Element Analysis in Fluid Dynamics,McGraw-Hill Book Co.(1978). [3] J.Donea and S.Giuliani,Time accurate solution of advection-diffusion problems by finite elements.Computer Methods in .Applied Mechanics and Engineering.45(1984). [4] T.J.Chung,Finite Elements in Fluid and Hear Transfer,Krieger Publishing Company,Inc.(1991). [5] C.Johnson.Numerical Solutions of Partial Differential Equations by the Finite Element Method.Sweden Student-litteratur(1987). [6] T.J.R.Hughes and M.Mallet,A new finite element formulation for computational fluid dynamics: IV,A discontinuity-capturing operator for multidimensional advective-diffusive systems.Conrpur.Methods Appl.Mech.Eng.,58(1986),329-336. [7] 朱刚、谷传纲、胡庆康,对Taylor-Galerkin有限元法的一点改进和它的应用,应用数学和力学,14(12)(1993),1115- 1120, [8] 徐国群、张国富,不可压N-S方程组的SUPG有限元数值解,空气动力学学报,9(1991). [9] T.J.Chung,Numerical Modeling in Combustion.Taylor & Francis Inc.(1993). [10] A.Lapidus,A detached shock calculation by second-order finite differences.Journal of Computational Physics.2(1967),154-177. [11] Zhu Gang,Shen"Mengyu,Liu Qiusheng and Wang Baoguo,Anisotropic multistage finite element method for two dimensional viscous transonic flow in turbomachinery,Acta.Mechanica Sinica,11(1)(1995).

##### 计量
• 文章访问数:  1481
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• 被引次数: 0
##### 出版历程
• 收稿日期:  1994-12-15
• 修回日期:  1995-03-24
• 刊出日期:  1996-04-15

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