1994 Vol. 15, No. 8

Display Method:
Numerical Modeling of the lnitial Stage of the Generation of Unsteady Vortices from Sharp Corner in Plane Compressible Flow
Huang Dun, Yang Chun
1994, 15(8): 665-670.
Abstract(2534) PDF(522)
Abstract:
The impingement of a plane shock wave in air on a rectangular or triangular obstacle is simulated numerically with high resolution TVD(total variation diminishing) scheme in finite volume formulation with Schwarz transformation in mesh generation. The mesh lines are quite adaptive to the physical fe...
On the Partially Ordered Methods in the Study of lmplicit Variational lnequalities
Zhang Shi-sheng, Rao Ling
1994, 15(8): 671-678.
Abstract(2075) PDF(474)
Abstract:
By using the partially ordered methods, the existence problem of solutions for more general implicit variational inequalities of mo,lotone type in Hausdorff topological linear spaces are considered. As application we utilize the results presented in this paper to study the existence of solutions for...
Singularly Perturbed Methods in the Theory of Optimal Control of Systems Governed by Partial Differential Equations
Tian Gen-bao, Lin Zong-chi
1994, 15(8): 679-684.
Abstract(2301) PDF(485)
Abstract:
In this paper, the various problems associated with the optimal control of srstems governed by partial differential equations are introduced by using singular.ly perturbed methods for analysis based on state equations, or the cost function and also state equations defined in perturbed domains.
Coincidence point Theorems in Probabilistic Metric Spaces with a Convex Structures
Wee Tae Park, Keun Saeng Park, Yeol Je Cho, Jong Kyu Kim
1994, 15(8): 685-697.
Abstract(2507) PDF(626)
Abstract:
In this paper we draw some coincidence and common fixed point theorems for nonlinear hybrid contraction mappings on probabilistic metric spaces with a convex structure.
The High Precision Open Boundary Conditions Designed for Transient Waves
Zou Guang-yuan
1994, 15(8): 699-707.
Abstract(1896) PDF(495)
Abstract:
In Refs. [2-4] there is an Adaptive Open Boundary Condition(AOBC) designed.for transient waves which overcomes the limitation of the existing Open Boundary Condition(OBC) and can be used for the cases of waves with arbitrary incident angles. In this article a new family of high or,der AOBC has been ...
The Re-Examination of Determining the Coefficient of the Amplitude Evolution Equation in the Nonlinear Theory of the Hydrodynamic Stability
Luo Ji-sheng
1994, 15(8): 709-712.
Abstract(1931) PDF(423)
Abstract:
One of the key problems in the nonlinear theory qf the hydrodynamic stability is to determine the law of the evolution of the disturbance velocity amplitude. The methods, which have been obtained, can only be used for quasi-neutral flow and have some artificial factors. In this paper, a method is pr...
Finite Element Analysis for the Unsteady Nearshore Circulation Due to Wave-Current Interaction(Ⅰ)──Nnmerical Model
Wu Wei-xiong
1994, 15(8): 713-718.
Abstract(1751) PDF(517)
Abstract:
In this paper, a numerical model for predicting the unsteady nearshore circulation due to wave-current interaction was proposed. In addition to the traditional continuity, momentum and energy equations, the dispersion and refraction relations were included in the governing equations. Moreover, the e...
Integral Invariants of a Holonomic Dynamical System Naseer Ahmed
Naseer Ahmed
1994, 15(8): 719-727.
Abstract(2171) PDF(466)
Abstract:
This paper uses Poincare's formalism to study the integral invariants of a conservative holonomic dynamical system. Introducing new parameters for the asrnchronous variation, a generalization of the Poincare and Poincaré-Cartan integral invariants is presented.
Numerical Studies for a Model Describing Complexity
Huang Xin, Liu Zeng-rong
1994, 15(8): 729-732.
Abstract(2250) PDF(458)
Abstract:
A simple model based on the discussion for infinite dimensional system is introduced to investigate the dynamical complexity for continuous system. By using immerical, methods, we show the dynamical behaviors of the model appear to correspond to universal language and context-sensitive language.
The Libration Points in Photogravltational Restricted Three-Body Problem
Zheng Xue-tang, Yu Li-zhong, Qin Yi-ping
1994, 15(8): 733-739.
Abstract(2259) PDF(479)
Abstract:
The photogravitational restricted three-body problem in which the mass reduction factors of two primaries q1, q2 [-∞, 1] are studied and an analytic method to estimate the number of libration points and to calculate their location is given in this paper. The results show that in photogravitational r...
Qin Sheng-li, Huang Jia-yin
1994, 15(8): 741-755.
Abstract(2032) PDF(619)
Abstract: