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研究了在重力作用下, 二维不可压黏性流体液膜沿倾斜壁面流动时, 其上孤立波及其内部涡的演化. 采用小参数摄动法与行波变换法, 首先推导出了非平整倾斜基底上液膜厚度的零阶和一阶的一般演化方程, 然后对该方程进行化简并采用Mathematica进行数值求解. 分析结果表明: 孤立波波形图中, 波前出现了一个毛细波, 而毛细波波谷处出现了完全开式涡; 通过对流量分析, 发现其与孤立波波形具有相同的变化趋势, 并且与波速呈正相关, 对于双峰与三峰孤立波, 前一波峰的流量比靠后的大; 随着波速增加到超过某一临界值时, 孤立波波峰内将出现涡流, 经过计算该临界波速与倾斜角呈正比关系, 对于双峰与三峰孤立波, 当波速继续增大, 靠后的波峰内也将出现涡流; 通过分析自由表面的速度分布得出: 该涡流的产生是自由表面的垂直速度在波前和波尾的速度梯度与大于波速的水平速度共同作用的结果, 波峰多更容易产生涡流; 通过分析在动坐标系下得到的迹线图, 发现该涡流面积也正比于波速且旋向为顺时针, 综合推断得出: 旋涡是在孤立波表面处开始形成的, 波峰内的流体沿壁面呈滚落状向下运动. 相似文献
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This paper presents two techniques allowing local grid refinement to calculate the transport of vortices. one is the patched grid (PG) method which allows non‐coincident interfaces between blocks. Treatment of the non‐coincident interfaces is given in detail. The second one is the adaptive mesh refinement (AMR) method which has been developed in order to create embedded sub‐grids. The efficiency of these two methods is demonstrated by some validating tests. Then the PG and AMR strategies are applied in the computation of the transport of vortices. We start with a simple vortex flow in a cubic box. Then, the flowfield around a complex aircraft configuration is calculated using the two refinement techniques. Results are compared with a fine, referenced grid calculation. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
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The volume of fluid (VOF) method is used to perform two‐phase simulations (gas–liquid). The governing Navier–Stokes conservation equations of the flow field are numerically solved on two‐dimensional axisymmetric or three‐dimensional unstructured grids, using Cartesian velocity components, following the finite volume approximation and a pressure correction method. A new method of adaptive grid local refinement is developed in order to enhance the accuracy of the predictions, to capture the sharp gas–liquid interface and to speed up the calculations. Results are compared with experimental measurements in order to assess the efficiency of the method. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
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A new multiblock unfactored implicit upwind scheme for inviscid two-dimensional flow calculations is presented. Spatial discretization is carried out by means of an upwind first-order method; an original extension to higher accuracy is also presented. The integration algorithm is constructed in a ‘δ’ form that provides a direct derivation of the scheme and leads to an efficient computational method. Fast solutions of the linear systems arising at each time step are obtained by means of the bi-conjugate gradient stabilized technique. The computational results for super/hypersonic steady state flows illustrate the efficiency and accuracy of the algorithm. 相似文献
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本文给出了分析涡旋运动稳定性的控制方程并介绍在实际问题中得到较广泛应用的各种涡旋的稳定性特性,总结了现有的各种关于涡旋运动稳定性的判据。 相似文献
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A local mesh refinement virtual boundary method based on a uniform grid is designed to study the transition between the flow patterns of two spheres in tandem arrangement for Re=250. For a small gap (L/D=1.5), the flow field is axisymmetric. As the spacing ratio increases to 2.0, the pressure gradient induces the circumferential fluid motion and a plane‐symmetric flow is constructed through a regular bifurcation. For L/D?2.5, the vortices are periodically shed from the right sphere, but the planar symmetry remains. The case for L/D=3.0 is picked up to give a detail investigation for the unsteady flow. The shedding frequency of vortical structure from the upper side of the right sphere is found to be double of the frequency of the lower side. With the flow spectra of various gaps given, the underlying competitive mechanism between the two shedding frequencies is studied and a critical spacing gap is revealed. Copyright © 2005 John Wiley & Sons, Ltd. 相似文献
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In this paper a comparison is carried out between three correction methods for multigrid local mesh refinement in oceanic applications: FIC, LDC and the direct method (DM) proposed by Spall and Holland. This study is based on a nested primitive equation model developed by Laugier on the basis of the code OPA (LODYC). The external barotropic problem is solved using any of the three local grid correction algorithms yielding an interactive nested grid model. The non-linear elliptic equation for the barotropic streamfunction tendency is solved on two nested grids, called the global and the zoom grid, that interact between themselves. The zoom grid is entirely embedded within the global domain with a horizontal grid step ratio of 3:1. The computation on the global grid supplies the boundary conditions for the zoom grid region and the fine grid fields are used to correct the global coarse solution. The three local correction methods are tested on two problems relevant to oceanic circulation phenomena proposed by Spall and Holland: a barotropic modon and an anticyclonic vortex. The results show that the nesting technique is a very efficient way to solve these problems in terms of a gain in precision compared with the required CPU time. The two-domain model with local mesh refinement allows one both to manage effectively the open boundary conditions for the local grid and to correct the global solution thanks to the zoom solution. In the case of the modon propagation the three local correction methods provide approximately the same results. For the baroclinic vortex it appears that the two iterative methods are more efficient than the direct one. 相似文献
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The concept of fully adaptive multiscale finite volume methods has been developed to increase spatial resolution and to reduce computational costs of numerical simulations. Here grid adaptation is performed by means of a multiscale analysis based on biorthogonal wavelets. In order to update the solution in time we use a local time stepping strategy that has been recently developed for hyperbolic conservation laws. The adaptive multiresolution scheme is now applied to two‐dimensional shallow water equations with source terms. The efficiency of the scheme is demonstrated on several problems with a general geometry, including circular damp breaks, oblique hydraulic jump, supercritical channel flows encountering sudden change in cross‐section, and, finally, the bore wave and its interactions. Copyright © 2005 John Wiley & Sons, Ltd. 相似文献
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利用空间外推将多次透射边界条件推广以提高这一边界在时域计算中的精度。对全波场仅由入射波构成及由入射波和充分发育的反射波构成两种情况导出了边界反射系数的频域公式。从时域计算精度角度分析了边界反射系数以阐明在透射大角度入射行进波动和消减运动方面推广边界的优点。 相似文献
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The present study develops a 2‐D numerical scheme that combines the vortex method and the boundary integral method by a Helmholtz decomposition to investigate the interaction of water waves with submerged obstacles. Viscous effects and generation of vorticity on the free surface are neglected. The second kind of Fredholm integral equations that govern the strengths of vortex sheets along boundaries are solved iteratively. Vorticity is convected and diffused in the fluid via a Lagrangian vortex (blob) method with varying cores, using the particle strength exchange method for diffusion, with particle redistribution. A grid‐convergence study of the numerical method is reported. The inviscid part of the method and the simulation of the free‐surface motion are tested using two calculations: solitary wave propagation in a uniform channel and a moving line vortex in the fluid. Finally, the full model is verified by simulating periodic waves travelling over a submerged rectangular obstacle using nonuniform vortex blobs with a mapping of the redistribution lattice. Overall, the numerical model predicts the vortices' evolution and the free‐surface motion reasonably well. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
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Sangmook Shin 《国际流体数值方法杂志》2005,47(3):233-251
Two‐layer incompressible flows are analysed using the ghost fluid method on unstructured grids. Discontinuities in dynamic pressure along interfaces are captured in one cell without oscillations. Because of data reconstructions based on gradients, the ghost fluid method can be adopted without additional storages for the ghost nodes at the expense of modification in gradient calculations due to the discontinuity. The code is validated through comparisons with experimental and other numerical results. Good agreements are achieved for internal waves generated by a body moving at transcritical speeds including a case where upstream solitary internal waves propagate. The developed code is applied to analyse internal waves generated by a NACA0012 section moving near interfaces. Variations of the lift acting on the body and configurations of the interfaces are compared for various distances between the wing and the interface. The effects of the interface are compared with the effects of a solid wall. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
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J. Rafael Pacheco 《国际流体数值方法杂志》2001,35(1):71-91
A new approach for the solution of the steady incompressible Navier–Stokes equations in a domain bounded in part by a free surface is presented. The procedure is based on the finite difference technique, with the non‐staggered grid fractional step method used to solve the flow equations written in terms of primitive variables. The physical domain is transformed to a rectangle by means of a numerical mapping technique. In order to design an effective free solution scheme, we distinguish between flows dominated by surface tension and those dominated by inertia and viscosity. When the surface tension effect is insignificant we used the kinematic condition to update the surface; whereas, in the opposite case, we used the normal stress condition to obtain the free surface boundary. Results obtained with the improved boundary conditions for a plane Newtonian jet are found to compare well with the available two‐dimensional numerical solutions for Reynolds numbers, up to Re=100, and Capillary numbers in the range of 0≤Ca<1000. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
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在慢扩张的假设下给出一类旋涡发展的解析表达式,讨论了解的性质,在一定情况下会出现泡型区和涡破裂,讨论了扩张角及旋转速度对涡破裂位置的影响。 相似文献
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The anisotropic Cartesian grid method, initially developed by Z.N. Wu (ICNMFD 15, 1996; CFD Review 1998, pp. 93–113) several years ago for efficiently capturing the anisotropic nature of a viscous boundary layer, is applied here to steady shocked flow computation. A finite‐difference method is proposed for treating the slip wall conditions. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
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Based on the study on the Mach reflection of a solitary wave in [3], we continue to investigate effects of the boundary layers
on the bottom and the vertical side wall. By using matched asymptotic methods, the two-dimensional KdV equation is modified
to account for effects of viscosity. Numerical can be neglected. The results including the side wall's effects agree satisfactorily
with those of Melville's experiments. Finally, we establish the simplified concept of the side wall effect and conclude that
it represents the physical reason for the discrepancy between the experiments and the previous calculations based on the inviscid
fluid flow theory. 相似文献