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1. Generalized analytic solutions for the nonisospectral Korteweg-de Vries equation | |||
Yu Xin,Gao Yitian,Sun Zhiyuan,Liu Ying | |||
Mechanics 10 April 2012 | |||
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Abstract:A generalized dependent variable transformation and a new constraintare proposed to analytically solve the nonisospectral Korteweg-deVries equation with symbolic computation. Features of the solitonicpropagation for such equation are discussed, which show that thesolitonic width and amplitude can be modulated separately withoutconsideration on an extra constraint. | |||
TO cite this article:Yu Xin,Gao Yitian,Sun Zhiyuan, et al. Generalized analytic solutions for the nonisospectral Korteweg-de Vries equation[OL].[10 April 2012] http://en.paper.edu.cn/en_releasepaper/content/4474907 |
2. Direct Simulation of Monte Carlo of Hypersonic Shock Interaction | |||
XIAO Hong,WU Di | |||
Mechanics 20 February 2012 | |||
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Abstract:Direct Simulation of Monte Carlo (DSMC) of hypersonic shock interaction was present. Molecule models in DSMC included hard sphere, variable hard sphere and variable soft sphere. Double-cone and Edney's type IV shock interaction was selected in DSMC research. Comparisons between DSMC and experiment were also conducted. Investigation of double-cone hypersonic flow shows that three collisions models can predict the trend of pressure coefficient and standun number. The agreement between DSMC simulation and experiment is best by hard sphere collisions model. Investigation of type IV shock interaction shows that the agreement between DSMC simulation and experiment is generally good in hard sphere and variable hard sphere collisions model. But it is unsuccessfully in variable soft sphere. Both double-cone flow and type IV shock interaction simulation shows that DSMC error depend on Kn Number and models employed for intermolecular interaction. With the Kn number increasing, DSMC error is decreasing. The error are the smallest for hard sphere model in comprised with variable hard sphere model and variable soft sphere model. When Kn number exceeds8.0 ×〖10〗^(-5), DSMC error for pressure coefficient ,stanton number and scale of interaction region is controlled within 10%.(10 Points, Times New Roman) | |||
TO cite this article:XIAO Hong,WU Di. Direct Simulation of Monte Carlo of Hypersonic Shock Interaction[OL].[20 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4463988 |
3. Methods on Applying Stream Function Boundary Conditions in DQ Modeling of 2D Lid-driven Cavity Flow | |||
WANG Tong,GE Yaojun,CAO Shuyang | |||
Mechanics 25 September 2011 | |||
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Abstract:The two-dimensional (2D) lid-driven cavity flow is simulated by applying the ordinary differential quadrature (DQ) method to solve the incompressible Navier-Stokes equations in stream function-vorticity form. There are two boundary conditions, one Dirichlet and one Neumann, for the stream function at each boundary though its governing equation is just second-order. Analysis on this over-specified problem is carried out, based on which a new method is proposed to implement these boundary conditions: the Neumann condition is just considered in the vorticity equation while only the Dirichlet condition is applied in the stream function equation. Availability of this method is verified by comparing its numerical results with benchmark data. Two other methods, the One-layer approach and the Two-layer approach, introduced by Shu and Xue (1998) are also shown as a contrast, and detailed formulations are repeated especially for the One-layer approach to reveal its underlying problem: this method is sensitive to the parity of grid numbers in two directions. Comparison between the present method and the Two-layer approach indicates that the former is more convenient to be used in practice for it avoiding the over-specified problem, and also more accurate, while the latter is relatively more efficient. | |||
TO cite this article:WANG Tong,GE Yaojun,CAO Shuyang. Methods on Applying Stream Function Boundary Conditions in DQ Modeling of 2D Lid-driven Cavity Flow[OL].[25 September 2011] http://en.paper.edu.cn/en_releasepaper/content/4442193 |
4. Aerodynamic Effects on Airfoil with Leading and Tailing Edges Protuberances | |||
Zou Lin | |||
Mechanics 31 August 2011 | |||
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Abstract:The effect of the protuberances leading and tailing edges on the aerodynamic characteristics of a modified airfoil is studied using the large eddy simulations. A more gentle lift characteristic is obtained during stall. For angles of attack less than the baseline stall angle of a NACA0012 airfoil, a lift coefficient reduction was observed for the modified airfoil, while the lift coefficient increases up to 37% greater than that of a NACA0012 airfoil when the angle of attack is larger than the baseline stall angle of the NACA0012 airfoil. | |||
TO cite this article:Zou Lin. Aerodynamic Effects on Airfoil with Leading and Tailing Edges Protuberances[OL].[31 August 2011] http://en.paper.edu.cn/en_releasepaper/content/4441659 |
5. Study on the interval laws of water flow in over-broken rock mass | |||
LIU Weiqun,FEI Xiaodong,FANG Jingnian | |||
Mechanics 13 June 2011 | |||
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Abstract:Based on the steady-state seepage method, we used the Mechanical Testing and Simulation 815.02 System and a self-designed seepage instrument for over-broken stone to measure seepage properties of water flow in three kinds of crushed rock samples. Three confidence interval methods of describing permeability coefficients were given: secure interval, computative interval and systemic interval. The lower bound of secure interval can be applied to water-inrush and the upper bound can solve the problem of conductivity. For computative interval, as the axial pressure increases, the length of confidence interval is shortened, and the upper and lower bound are reduced. As to systemic interval, the length of confidence interval, as well as the upper and lower bound, varies evidently under low axial pressure and punily under high axial pressure. These three methods provide useful consultations and references for analyzing the permeability coefficient of over-broken rock. | |||
TO cite this article:LIU Weiqun,FEI Xiaodong,FANG Jingnian. Study on the interval laws of water flow in over-broken rock mass[OL].[13 June 2011] http://en.paper.edu.cn/en_releasepaper/content/4432327 |
6. Centerline Evolution of Temperature Skewness in a Circular Cylinder Wake | |||
MI Jianchun,XU Minyi | |||
Mechanics 09 February 2011 | |||
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Abstract:By analyzing the temperature signals measured along the centreline of wake flow at different Reynolds number with cold wire, the present work studied the variation characteristics of the temperature skewness along the centreline. The result shows that the location on the wake centreline where the temperature skewness changes sign may be a useful indicator of the end of the Karman vortex street-dominated flow region. This location moves towards the cylinder as the Reynolds number increases and becomes constant at sufficiently large Reynolds number. | |||
TO cite this article:MI Jianchun,XU Minyi. Centerline Evolution of Temperature Skewness in a Circular Cylinder Wake[OL].[ 9 February 2011] http://en.paper.edu.cn/en_releasepaper/content/4409478 |
7. Numerical Simulation of Shock Diffraction over Circular Cylinders on Cartesian Grids | |||
Jiang Xiaohai,Chen Zhihua,Guo Zeqing | |||
Mechanics 08 January 2011 | |||
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Abstract:In this paper the shock wave propagation over both single- and multi- circular cylinders in a duct were simulated numerically with the ghost cell method and high-resolution Roe scheme. Based on our calculation, the reflection and diffraction processes of a planar shock wave pass around a single cylinder were visualized, which agrees well with corresponding experimental results. Furthermore the interaction of the shock and multi-cylinders (an array of five circular cylinders) was also discussed in detail based on the predicted time-sequential results. | |||
TO cite this article:Jiang Xiaohai,Chen Zhihua,Guo Zeqing. Numerical Simulation of Shock Diffraction over Circular Cylinders on Cartesian Grids[OL].[ 8 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4405110 |
8. A numerical investigation on vortex-induced vibration of an elastically mounted circular cylinder at low Reynolds number using the fictitious domain method | |||
JI Chunning | |||
Mechanics 25 December 2010 | |||
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Abstract:A direct numerical simulation of 2D flow past an elastically mounted circular cylinder at low Reynolds number using the fictitious domain method had been undertaken. The cylinder motion was modelled by a two-degree-of-freedom mass-spring-damper system. The CFD code was verified against a benchmark problem in which flow past a stationary circular cylinder is simulated. Then, analyses of VIV responses, drag and lift forces, the phase and vortex structures were carried out. Results show that the cylinder's non-dimensional cross-flow response amplitude reaches its summit of 0.572 in the 'lock-in' regime. The '2S', instead of the '2P', vortex shedding mode is dominated in the 'lower' branch for this 2D low-Re VIV. | |||
TO cite this article:JI Chunning. A numerical investigation on vortex-induced vibration of an elastically mounted circular cylinder at low Reynolds number using the fictitious domain method[OL].[25 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4401081 |
9. Numerical investigation of flow configurations and fluid forces for a staggered tube bundle in cross flow | |||
Zou Lin | |||
Mechanics 12 September 2010 | |||
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Abstract:A three-dimensional numerical investigation on cross-flow around a staggered tube bundle in a diamond arrangement at Reynolds number of 200 has been carried out. Depending on the spacing ratio (L/D) varying from 1.2 to 5.0, the flow configurations were classified into three basic regimes. The critical spacing ratio for transformation of flow configuration from narrow gap flow configuration to vortex impingement flow configuration of the cylinders was found to be at L/D =3.0, while a single bluff-body flow configuration was observed at L/D =1.2. The relation between the three-dimensional flow configurations and force characteristics around the four staggered cylinders shows that the variation of forces and Strouhal numbers with L/D are generally governed by such three flow configurations. It is concluded that the spacing ratio has important effects on the free shear layers development of the cylinders and hence have significant effects on the fluid force of the four cylinders with different spacing ratio. | |||
TO cite this article:Zou Lin. Numerical investigation of flow configurations and fluid forces for a staggered tube bundle in cross flow[OL].[12 September 2010] http://en.paper.edu.cn/en_releasepaper/content/4385364 |
10. Control of Vortex Structures on a Rectangular Slab via a Sinusoidal Surface | |||
Zou, Lin | |||
Mechanics 31 March 2010 | |||
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Abstract:The present investigations focus attention on numerical simulations of three-dimensional flow around wavy rectangular slabs with sinusoidal variations in cross-section area along the spanwise direction at low Reynolds numbers of 100 and 500. The detailed near wake vortex structures of the wavy rectangular slab are captured and the influence of the wavy rectangular slab side ratio (L/Dm=1 to 8) is discussed compared with a straight rectangular slab with the same side ratio. Moreover, the pressure field, velocity field and force coefficients around the wavy surfaces are also calculated. The present numerical simulations show that the three-dimensional free shear layers behind the wavy rectangular slab are more stable than those of the straight rectangular slab. At L/Dm≥2, the free shear layers are even difficult to roll up into a mature vortex street behind the wavy slab at Re=100. The mean drag reduced with the r.m.s. lift of the wavy rectangular slabs being greatly suppressed compared with the straight rectangular slab for all side ratios at Re=500. A drag reduction of up to 32% at L/Dm=1 is obtained. It indicated that the wavy slab is capable of minimization of flow-induced vibration and drag reduction compared with the rectangular slab in cross flow conditions. | |||
TO cite this article:Zou, Lin. Control of Vortex Structures on a Rectangular Slab via a Sinusoidal Surface[OL].[31 March 2010] http://en.paper.edu.cn/en_releasepaper/content/41413 |
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