应用数学和力学

2008 Vol. 29, No. 11

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Exact Traveling Wave Solutions for the 2D-Generalized Benney-Luke Equation

LI Ji-bin

2008, 29(11): 1261-1267.

Abstract(2949) PDF(563)

Abstract:
By using the method of dynamical systems to the 2D-generalized Benney-Luke equation, the existence of kink wave solutions and uncountably infinite many smooth perio dic wave solutions is shown. Explicitexact parametric representations for the kink wave solutions, periodic wave solutions and unbo und...

Analytic Solutions of a Class of Nonlinear Partial Differential Equations

ZHANG Hong-qing, DING Qi

2008, 29(11): 1268-1278.

Abstract(2208) PDF(873)

Abstract:
Firstly, an approach is presented for computing the adjoint operator vector of a class of nonlinear (i. e. partial-nonlinear) operator matrix by generalizing the method presented by Zhang et al. and the conjugate operators. Secondly, a united theory is given for solving a class of nonlinear (i. e. p...

Monte Carlo Simulation of Stage Separation Dynamic of a Multistage Launch Vehicle

J. Roshanian, M. Talebi

2008, 29(11): 1279-1292.

Abstract(2668) PDF(692)

Abstract:
The formulation used for studies of cold and hot separating stages of a multistage launch vehicle was provided. Monte Carlo simulation is employed to account for the off nominal design parameters of the bodies undergoing separation to evaluate the risk of failure for the separation event. All distur...

Stability Analysis of Delayed Cellular Neural Networks With and Without Noise Perturbation

ZHANG Xue-juan, WANG Guan-xiang, LIU Hua

2008, 29(11): 1293-1302.

Abstract(2847) PDF(732)

Abstract:
The stability of a class of delayed cellular neural networks (DCNN) either without or with noise perturbation are studied. After presenting a simple and easily checkable condition for global exponential stability of the deterministic system, the situations with noise perturbation were further invest...

Streamline Upwind Finite Element Method Using 6-Node Triangular Element With Adaptive Remeshing Technique for Convective-Diffusion Problems

Niphon Wansophark, Pramote Dechaumphai

2008, 29(11): 1303-1313.

Abstract(3374) PDF(594)

Abstract:
A streamline upwind finite element method using the 6-node triangular element is presented. The method was applied to the convection term of the governing transport equation directly along local streamlines. Several convective-diffusion examples were used to evaluate the efficiency of the method. Re...

Propagation of Rayleigh Waves at the Free Surface of Transversely Isotropic Generalized Thermoelastic Diffusion

Rajneesh Kumar, Tarun Kansal

2008, 29(11): 1314-1324.

Abstract(3634) PDF(636)

Abstract:
The propagation of Rayleigh waves in a homogeneous, transversely isotropic, thermoelastic diffusive half-space subjected to stress free, thermally insulated/isothermal and chemical potential boundary conditions, in the context of generalized theory of thermoelastic diffusion is studied. Green and Li...

The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference

HUANG Yu-ning, MA Hui-yang

2008, 29(11): 1325-1336.

Abstract(3632) PDF(717)

Abstract:
The role of the extended intrinsic mean spin tensor introduced for turbulence modelling in a non-inertial frame of reference which is described by the Euclidean group of transformations and, in particular, its significance and importance in the approach of the algebraic Reynolds stress modelling, su...

Third-Order Modified Coefficient Scheme Based on the Essentially Non-Oscillatory Scheme

LI Ming-jun, YANG Yu-yue, SHU Shi

2008, 29(11): 1337-1346.

Abstract(3024) PDF(793)

Abstract:
A third-order numerical scheme was presented for approximating solutions of multi dimensional hyperbolic conservation laws only using the modified coefficients of essentially non-oscillatory (MCENO) scheme without increasing the base points during the construction of the scheme. The construction pro...

Numerical Investigation on the Evolution of the Cylindrical Cellular Detonation

WANG Chun, JIANG Zong-lin, HU Zong-min, HAN Gui-lai

2008, 29(11): 1347-1354.

Abstract(3367) PDF(644)

Abstract:
Cylindrical cellular detonation was numerically investigated by solving the two-dimensional reactive Euler equations with finite volume method on a two-dimensional self-adaptive unstructured mesh. The one-step reversible chemical reaction model was used to simplify the control parameters of chemical...

Wavelet Finite-Difference Method for the Numerical Simulation of Wave Propagation in Fluid-Saturated Porous Media

HE Ying, HAN Bo

2008, 29(11): 1355-1346.

Abstract(3111) PDF(776)

Abstract:
The numerical simulation of wave propagation in fluid-saturated porous media is considered. A wavelet finite-difference method was proposed for solving the 2-D elastic wave equation. This algorithm combines the flexibility and computational efficiency of wavelet multiresolution method with the easy ...

Evolution of Global Enstrophy in Cylinder Wake Controlled by Lorentz Force

ZHANG Hui, FAN Bao-chun, CHEN Zhi-hua

2008, 29(11): 1365-1375.

Abstract(2394) PDF(1145)

Abstract:
The Okubo-Weiss function is correlated with the fluid particle compression, deformation and vorticity, which provides a simple way to characterize the different regions of flowfield. It had been proved mathematically that the global integration of Okubo-Weiss function is always equal to zero for a t...

Dynamic Stress Intensity Factor Analysis of Adhesively Bonded Material Interface With Damage Under Shear Loading

CAI Yan-hong, CHEN Hao-ran, TANG Li-qiang, YAN Cheng, JIANG Wan

2008, 29(11): 1376-1386.

Abstract(3545) PDF(803)

Abstract:
The dynamic stress intensity factor (DSIF) at the interface in an adhesive joint under shear loading is investigated. The material damage was considered. By introducing dislocation density function and using integral transform, the problem was reduced to algebraic equations and could be solved with ...