Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (8): 701-717.
郭本瑜, 曹卫明
收稿日期:1991-04-15
出版日期:1992-08-18
发布日期:1992-08-18
通讯作者:
Liu Ren-huai
Guo Ben-yu, Cao Wei-ming
Received:1991-04-15
Online:1992-08-18
Published:1992-08-18
摘要: In this paper, a combined Fourier spectral-finite element method is proposed for solving n-dimensional (n=2,3), semi-periodic compressible fluid flow problems. The strict error estimation as well as the convergence rate, is presented.
郭本瑜;曹卫明. SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(8): 701-717.
Guo Ben-yu;Cao Wei-ming. SPECTRAL-FINITE ELEMENT METHOD FOR COMPRESSIBLE FLUID FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(8): 701-717.
| [1] Roache, P. J., Computational Fluid Dynamics, 2nd Ed, Hermosa Publishers, Albuqueque (1976). [2] Atusi, Tani, The existence and uniqueness of the solution of equations describing compressible viscous fluid flow in a domain, Proc. Japan Acad., 52(1976), 334-337. [3] Guo Ben-yu, Difference Methods for partial differential Equations, Science Press, Beijing (1988). (in Chinese). [4] Kuo Pen-yu, R閟olution num閞ique de fluid? compressible, C. R. Acad. Sc. Paris, 291A(1980), 167-171. [5] Guo Ben-yu, Strict error estimation of numerical solution of compressible flow in two-dimensional space, Scientia Sinica, 26A(1983), 482-498. [6] Chung, T. J., Finite Element Analysis in Fluid Dynamics, McGraw-Hill International Book Company (1978). [7] Guo Ben-yu and Ma He-ping, Strict error estimation for a spectral method of compressible fluid flow, CalColo, 24 (1987), 263-282. [8] Canuto, C., Y. Maday and A. Quarteroni, Analysis of the combined finite element and Fourier interpolation, Numer. Math., 39(1982), 205-220. [9] Canuto, C., Y. Maday and A. Quarteroni, Combined finite element and spectral approximation of the Navier-Stokes equations, Numer. Math., 44(1984), 201-217. [10] Guo Ben-yu, Spectral-difference method for solving two-dimensional vorticity equations, J.Comput. Math., 6(1988), 238-257. [11] Guo Ben-yu and Cao Wei-ming, Spectral-finite element method for solving two-dimensional vorticity equations, Acta Mathematicae Applicatae Sinica, 7(1991), 257-271. [12] Guo Ben-yu and Cao Wei-ming, Spectral-finite element method for solving three-dimensional vorticity equations, J. Greek Math. Soc., 32(1990), 258-280. [13] Guo Ben-yu and Cao Wei-ming, Spectral-finite element method for solving two-dimensional Navier-Stokes equation(1988). (unpublished). [14] Adams, R. A., Sobolev Spaces, Academic Press, New York(1975). [15] Grisvard, P., Equations differentielles abstraites, Ann. Sci. Ecole Norm. Sup., 4(1969),311-395. [16] Ciarlet, P. G., The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam (1978). [17] Schatz, A., V. Thomee and L. B. Wahlbin, Maximum norm stability and error estimates in parabolic finite element equations, Commun. Pure Appl. Math., 33(1980), 265-304. |
| [1] | Zhiping QIU, Zhao WANG, Bo ZHU. A symplectic finite element method based on Galerkin discretization for solving linear systems[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(8): 1305-1316. |
| [2] | Weiguo ZHANG, Siyu HONG, Xingqian LING, Wenxia LI. Influence of dissipation on solitary wave solution to generalized Boussinesq equation[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 477-498. |
| [3] | Feiyang HE, Zhiyu SHI, Denghui QIAN, Y. K. LU, Yujia XIANG, Xuelei FENG. Flexural wave bandgap properties of phononic crystal beams with interval parameters[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 173-188. |
| [4] | Chenxue JIA, Zihao WANG, Donghui ZHANG, Taihua ZHANG, Xianhong MENG. Fracture of films caused by uniaxial tensions: a numerical model[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2093-2108. |
| [5] | Xiaokang DU, Yuanzhao CHEN, Jing ZHANG, Xian GUO, Liang LI, Dingguo ZHANG. Nonlinear coupling modeling and dynamics analysis of rotating flexible beams with stretching deformation effect[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(1): 125-140. |
| [6] | Wenjie SUN, Wentao MA, Fei ZHANG, Wei HONG, Bo LI. Snap-through path in a bistable dielectric elastomer actuator[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(8): 1159-1170. |
| [7] | Si YUAN, Quan YUAN. Condensed Galerkin element of degree m for first-order initial-value problem with O(h2m+2) super-convergent nodal solutions[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 603-614. |
| [8] | S. HUSSAIN, T. TAYEBI, T. ARMAGHANI, A. M. RASHAD, H. A. NABWEY. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 447-466. |
| [9] | Xinyue LIU, Jinfang AI, Jun XIE, Guohui HU. Numerical study of opposed zero-net-mass-flow jet-induced erythrocyte mechanoporation[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(11): 1763-1776. |
| [10] | M. KOHANSAL-VAJARGAH, R. ANSARI, M. FARAJI-OSKOUIE, M. BAZDID-VAHDATI. Vibration analysis of two-dimensional structures using micropolar elements[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(7): 999-1012. |
| [11] | Ying LIU, Yanping CHEN, Yunqing HUANG, Qingfeng LI. Analysis of a two-grid method for semiconductor device problem[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(1): 143-158. |
| [12] | Zhonggui YI, Baozeng YUE, Mingle DENG. Chebyshev spectral variational integrator and applications[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(5): 753-768. |
| [13] | Yihui DA, Bin WANG, D. Z. LIU, Zhenghua QIAN. An analytical approach to reconstruction of axisymmetric defects in pipelines using T(0, 1) guided waves[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(10): 1479-1492. |
| [14] | Demin LIU, Kaitai LI. Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 889-910. |
| [15] | Ying TAN, Weidong SU. A trigonometric series expansion method for the Orr-Sommerfeld equation[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(6): 877-888. |
| 阅读次数 | ||||||
|
全文 |
|
|||||
|
摘要 |
|
|||||

Email Alert
RSS