Table of Content

01 November 2008, Volume 29 Issue 11

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Articles

Exact traveling wave solutions to 2D-generalized Benney-Luke
equation

LI Ji-bin;

2008, 29(11):  1391-1398 .  doi:10.1007/s10483-008-1101-x

Abstract ( 1912 )   PDF (666KB) ( 1108 )  

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By using the dynamical system method to study the 2D-generalized Benney-Luke equation, the existence of kink wave solutions and uncountably infinite many smooth periodic wave solutions is shown. Explicit exact parametric representations for solutions of kink wave, periodic wave and unbounded traveling wave are obtained.

Analytic solutions of a class of nonlinear partial differential equations

ZHANG Hong-qing;DING Qi

2008, 29(11):  1399-1410 .  doi:10.1007/s10483-008-1102-z

Abstract ( 1799 )   PDF (161KB) ( 768 )  

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An approach is presented for computing the adjoint operator vector of a class of nonlinear (that is, partial-nonlinear) operator matrices by using the properties of conjugate operators to generalize a previous method proposed by the author. A unified theory is then given to solve a class of nonlinear partial-nonlinear and including all linear) and non-homogeneous differential equations with a mathematical mechanization method. In other words, a transformation is constructed by homogenization and triangulation, which reduces the original system to a simpler diagonal system. Applications are given to solve some elasticity equations.

Monte Carlo simulation of stage separation dynamics of a multistage#br# launch vehicle

J. Roshanian;M. Talebi

2008, 29(11):  1411-1426 .  doi:10.1007/s10483-008-1103-z

Abstract ( 1913 )   PDF (520KB) ( 4182 )  

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This paper provides the formulation used for studing the cold and hot separating stages of a multistage launch vehicle. 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 disturbances, effect of dynamic unbalance, residual thrust, separation disturbance caused by the separation mechanism and misalignment in cold and hot separation are analyzed to find out nonoccurrence of collision between the separation bodies. The results indicate that the current design satisfies the separation requirements.

Stability analysis of delayed cellular neural networks with and without noise perturbation

ZHANG Xue-juan;WANG Guan-xiang and LIU Hua

2008, 29(11):  1427-1438 .  doi:10.1007/s10483-008-1104-x

Abstract ( 1609 )   PDF (148KB) ( 693 )  

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The stability of a class of delayed cellular neural networks (DCNN) with or without noise perturbation is studied. After presenting a simple and easily checkable condition for the global exponential stability of a deterministic system, we further investigate the case with noise perturbation. When DCNN is perturbed by external noise, the system is globally stable. An important fact is that, when the system is perturbed by internal noise, it is globally exponentially stable only if the total noise strength is within a certain bound. This is significant since the stochastic resonance phenomena have been found to exist in many nonlinear systems.

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):  1439-1450 .  doi:10.1007/s10483-008-1105-3

Abstract ( 1637 )   PDF (702KB) ( 1120 )  

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A streamline upwind finite element method using 6-node triangular element is presented. The method is applied to the convection term of the governing transport equation directly along local streamlines. Several convective-diffusion examples are used to evaluate efficiency of the method. Results show that the method is monotonic and does not produce any oscillation. In addition, an adaptive meshing technique is combined with the method to further increase accuracy of the solution, and at the same time, to minimize computational time and computer memory requirement.

Propagation of Rayleigh waves on free surface of transversely isotropic generalized thermoelastic diffusion

Rajneesh Kumar;Tarun Kansa

2008, 29(11):  1451-1462 .  doi:10.1007/s10483-008-1106-6

Abstract ( 1935 )   PDF (209KB) ( 1635 )  

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The present paper is devoted to the study of Rayleigh wave propagation in a homogeneous, transversely isotropic, thermoelastic diffusive half-space, subject to stress free, thermally insulated/isothermal, and chemical potential boundary conditions in the context of the generalized thermoelastic diffusion theory. The Green-Lindsay(GL) theory is used in the study. In this theory, thermodiffusion and thermodiffusion mechanical relaxations are governed by four different time constants. Secular equations for surface wave propagation in the considered media are derived. Anisotropy and diffusion effects on the phase velocity, attenuation coefficient are graphically presented in order to present the analytical results and make comparison. Some special cases of frequency equations are derived from the present investigation.

Extended intrinsic mean spin tensor for turbulence modelling in non-inertial frame of reference

HUANG Yu-ning;MA Hui-yang

2008, 29(11):  1463-1475 .  doi:10.1007/s10483-008-1107-1

Abstract ( 1780 )   PDF (199KB) ( 951 )  

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We investigate the role of extended intrinsic mean spin tensor introduced in this work for turbulence modelling in a non-inertial frame of reference. It is described by the Euclidean group of transformations and, in particular, its significance and importance in the approach of the algebraic Reynolds stress modelling, such as in a nonlinear K_-ε model. To this end and for illustration of the effect of extended intrinsic spin tensor on turbulence modelling, we examine several recently developed nonlinear K_-ε models and compare their performance in predicting the homogeneous turbulent shear flow in a rotating frame of reference with LES data. Our results and analysis indicate that, only if the deficiencies of these models and the like be well understood and properly corrected, may in the near future, more sophisticated nonlinear K_-ε models be developed to better predict complex turbulent flows in a
non-inertial frame of reference.

Third-order modified coefficient scheme based on essentially non-oscillatory scheme

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

2008, 29(11):  1477-1486 .  doi:10.1007/s10483-008-1108-x

Abstract ( 1900 )   PDF (255KB) ( 764 )  

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A third-order numerical scheme is presented to give approximate solutions to multi-dimensional hyperbolic conservation laws only using modified coefficients of an essentially non-oscillatory (MCENO) scheme without increasing the base points during construction of the scheme. The construction process shows that the modified coefficient approach preserves favourable properties inherent in the original essentially non-oscillatory (ENO) scheme for its essential non-oscillation, total variation bounded (TVB), etc. The new scheme improves accuracy by one order compared to the original one. The proposed MCENO scheme is applied to simulate two-dimensional Rayleigh-Taylor (RT) instability with densities 1:3 and 1:100, and solve the Lax shock-wave tube numerically. The ratio of CPU time used to implement
MCENO, the third-order ENO and fifth-order weighed ENO (WENO) schemes is 0.62:1:2.19. This indicates that MCENO improves accuracy in smooth regions and has higher accuracy and better efficiency compared to the original ENO scheme.

Numerical investigation on evolution of cylindrical cellular detonation

WANG Chun;HU Zong-minHAN Gui-lai

2008, 29(11):  1487-1494 .  doi:10.1007/s10483-008-1109-y

Abstract ( 1758 )   PDF (1177KB) ( 1031 )  

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Cylindrical cellular detonation is numerically investigated by solving two-dimensional reactive Euler equations with a finite volume method on a two-dimensional self-adaptive unstructured mesh. The one-step reversible chemical reaction model is applied to simplify the control parameters of chemical reaction. Numerical results demonstrate the evolution of cellular cell splitting of cylindrical cellular detonation explored in experimentas. Split of cellular structures shows different features in the near-field and far-field from the initiation zone. Variation of the local curvature is a key factor in the behavior of cell split of cylindrical cellular detonation in propagation. Numerical results show that split of cellular structures comes from the self-organization of transverse waves corresponding to the development of small disturbances along the detonation front related to detonation instability.

A wavelet finite-difference method for numerical simulation of wave propagation in fluid-saturated porous media

HE Ying;HAN Bo

2008, 29(11):  1495-1504 .  doi:10.1007/s10483-008-1110-y

Abstract ( 1476 )   PDF (1139KB) ( 709 )  

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In this paper, we consider numerical simulation of wave propagation in fluid-saturated porous media. A wavelet finite-difference method is proposed to solve the 2-D elastic wave equation. The algorithm combines flexibility and computational efficiency of wavelet multi-resolution method with easy implementation of the finite-difference method. The orthogonal wavelet basis provides a natural framework, which adapt spatial grids to local wavefield properties. Numerical results show usefulness of the approach as an accurate and stable tool for simulation of wave propagation in fluid-saturated porous media.

Evolution of global enstrophy in cylinder wake controlled by Lorentz force

HANG Hui;FAN Bao-chun;CHEN Zhi-hua

2008, 29(11):  1505-1516 .  doi:10.1007/s10483-008-1111-y

Abstract ( 1591 )   PDF (3745KB) ( 1038 )  

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The Okubo-Weiss function is correlated with the fluid particle compression, deformation and vorticity, which provides a simple way to characterize different regions of a flow-field. In the present paper, it shows mathematically that the global integration of Okubo-Weiss function is always equal to zero for a two dimensional incompressible flow with no-slip boundaries. To validate the conclusion, a flow passing a circular cylinder controlled by the electromagnetic force is calculated numerically as an example. Distributions of global enstrophy, total squared strain and Okubo-Weiss function in the controlled flow field are discussed. The influence of Lorentz force on the distribution is analyzed.

The dynamic stress intensity factor analysis of adhesively bonded material interface crack with damage under shear loading

CAI Yan-hongCHEN Hao-ran;TANG Li-qiang;YAN Cheng;JIANG Wan

2008, 29(11):  1517-1526 .  doi:10.1007/s10483-008-1112-z

Abstract ( 1614 )   PDF (314KB) ( 914 )  

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This paper studies the dynamic stress intensity factor (DSIF) at the interface in an adhesive joint under shear loading. Material damage is considered. By introducing the dislocation density function and using the integral transform, the problem is reduced to algebraic equations and can be solved with the collocation dots method in the Laplace domain. Time response of DSIF is calculated with the inverse Laplace integral transform. The results show that the mode Ⅱ DSIF increases with the shear relaxation parameter, shear module and Poisson ratio, while decreases with the swell relaxation parameter. Damage shielding only occurs at the initial stage of crack propagation. The singular index of crack tip is -0.5 and independent on the material parameters, damage conditions of materials, and time. The oscillatory index is controlled by viscoelastic material parameters.