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
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。Abstract: In this paper we begin with Taylor-Galerkin Finite Elements,then improve it completely and finally construct Modified Taylor-Galerkin Finite Elements.Computation is done by two methods to study two kinds of subsonic and supersonic flow field.The results show that the new one is much better than the old one.
-
Key words:
- finite elements /
- subsonic flow /
- supersonic flow
-
[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: 1791
- HTML全文浏览量: 71
- PDF下载量: 509
- 被引次数: 0