Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD

Based on the successive iteration in the Taylor series expansion method,a three-point explicit compact difference scheme with arbitrary order of accuracy is derived in this paper.Numerical characteristics of the scheme are studied by the Fourier analysis. Unlike the conventional compact difference schemes which need to solve the equation to obtain the unknown derivatives in each node,the proposed scheme is explicit and can achieve arbitrary order of accuracy in space.Application examples for the convection- diffusion problem with a sharp front gradient and the typical lid-driven cavity flow are given.It is found that the proposed compact scheme is not only simple to implement and economical to use,but also is effective to simulate the convection-dominated problem and obtain high-order accurate solution in coarse grid systems.     

Fhree-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD

Based on the successive iteration in the Taylor series expansion method, a three-point explicit compact difference scheme with arbitrary order of accuracy is derived in this paper. Numerical characteristics of the scheme are studied by the Fourier analysisl Unlike the conventional compact difference schemes which need to solve the equation to obtain the unknown derivatives in each node, the proposed scheme is explicit and can achieve arbitrary order of accuracy in space. Application examples for the convectiondiffusion problem with a sharp front gradient and the typical lid-driven cavity flow are given. It is found that the proposed compact scheme is not only simple to implement and economical to use, but also is effective to simulate the convection-dominated problem and obtain high-order accurate solution in coarse grid systems.     

彬县水帘洞煤矿工业场地西侧黄土高边坡特征及成因分析

水帘洞煤矿工业场地西侧黄土高边坡为老滑坡的后壁,在边坡的脚下有老滑坡体残留物。地表水沿黄土垂直节理、裂隙下渗,逐渐在边坡的顶部形成落水洞;边坡还受黄土层理、倾角（5°～10°）和古土壤层位置的控制,地表水下渗至古土壤层,古土壤层是良好的隔水层,加上黄土层理倾向沟谷,在古土壤层面位置（半山腰）易形成与边坡顶部落水洞贯通的落水洞出口。受长期降水或短期强降水的影响,导致边坡失稳。     

大长细比弹体斜侵彻混凝土靶的动力学响应

基于刚塑性自由梁在横向冲击载荷下的动力学响应研究方法,结合空腔膨胀理论给出的弹体载荷分析,给出了弹体作为自由梁在塑性铰出现之前的响应行为,得到了梁内任一截面在横向载荷下剪力和弯矩分布规律以及轴向载荷下的轴力分布规律。计算结果表明,大长细比结构弹体的危险截面在承受较大轴向惯性压力载荷后,对由非正侵彻导致的横向载荷极为敏感。最后基于压弯联合作用载荷分析,给出了动能弹设计的抗弯极限壁厚要求。     

Freezing-off in disc cavities

A semi-quantitative analysis is presented of freezing-off in a disc cavity during the injection moulding of thermoplastics. A criterion is obtained which enables the occurrence of freezing-off to be predicted, at least crudely. The form of the criterion is found to depend on the direction of flow (radially outward or inward) in the disc.     

Analytical Solutions to Expansion of Cylindrical Cavity in Linear Softening Soil

Based on the results of conventional triaxial compression tests for a soil, a trilinear elasto-plastic model is proposed to simulate the stress-strain softening curve. According to this curve, the constitutive relation between the bulk strain and two pr…     

Shear-opposed mixed-convection flow and heat transfer in a narrow, vertical cavity

A combined experimental and theoretical study has been carried out to investigate mixed-convection heat transfer in a narrow, vertical cavity. The shear force is produced at the left side of a cavity by a belt moving upward that constitutes the sixth wall of the cavity. The left wall of the cavity was cooled and the opposite (right wall) was heated. Hence, the buoyancy force tries to bring the fluid down, and the shear force tends to induce upward fluid flow. The test cell was equipped with two heat exchangers and three thermocouple racks for measuring the temperature distributions at 12 different positions. The temperature field was scanned in the cavity for various flow and temperature boundary conditions. Three-and-two-dimensional laminar models were used to analyze the problem theoretically. The experimental measurements were found to be in good agreement with the numerical predictions.     

浅埋的圆柱形孔洞对SH波的散射与地震动

研究了浅埋的圆柱形孔洞对以任意方向入射的平面SH波的散射与地震动问题。利用复变函数和多极坐标方法构造了问题的位移解。当入射波的波长与圆孔的半径相比较小时,地震动将受到较大的影响。影响地震动有三个主要参数:(1)SH波的入射角0;(2)入射波波数,即圆柱形孔洞的半径与入射波半波长之比;(3)h/R,即圆柱形孔洞至表面的距离与圆孔半径之比。当较大时,地震动幅值变化激烈,位移幅值可出现跳动和放大的现象。当h/R增大至10～12时,位移幅值变化恢复至半空间的情况,表明圆柱形孔洞的影响可被忽略。     

Lifting of Disperse Particles from a Cavity Behind the Front of an Unsteady Shock Wave with a Triangular Velocity Profile

The gas flow in plane shock waves slipping along an impermeable surface with a rectangular cavity where solid disperse particles are suspended is considered numerically. The motion of the gas and particles (gas suspension) is modeled by equations of mechanics of multiphase media. Some laws of the behavior of the dusty cloud in the cavity are established for the case of wave interaction with the cavity.     

SH波绕界面孔的散射

用波函数展开方法研究了SH波绕界面孔的散射问题。由入射、反射和透射波组成的自由波场与孔的散射场叠加成总波场。按照一定方式将两个半平面散射波场延拓于全平面，通过Hankel-Fourier展开方法求得了任意形状孔散射场的级数解。以椭圆形孔为例计算了孔边缘的动应力集中系数。