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Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using Boundary-Conforming Coordinates

机译：二维斯托克斯方程的边界协调坐标系下的任意形状颗粒流动的二维斯托克斯方程数值解

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摘要

A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the eases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.

机译：提出了一种求解多连通域二维斯托克斯方程的数值方案。数值过程基于一般曲线坐标系中控制方程的有限差分解。给出了几个平面通道中的圆形粒子的计算示例。将结果与已知的分析解决方案进行比较。所提出的方案适用于在任意形状的通道中围绕任意形状的多个静止或运动粒子的流动的容易性。

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A. S. Dvinsky; A. S. Popel;
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年(卷),期 -1(67),1
年度 -1
页码 73–90
总页数 26
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1. Quasiperiodic Solutions of the Navier-Stokes Equations Induced by the Quasiperiodic Shape of the Boundaries of a Two-Dimensional Flow Domain [J] . S. M. Drozdov Fluid Dynamics . 2008,第2期

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2. Numerical integration of the contravariant integral form of the Navier-Stokes equations in time-dependent curvilinear coordinate systems for three-dimensional free surface flows [J] . Cannata G., Petrelli C., Barsi L., Continuum mechanics and thermodynamics . 2019,第2期

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3. GLOBAL WEAK SOLUTIONS TO THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS OF COMPRESSIBLE HEAT-CONDUCTING FLOWS WITH SYMMETRIC DATA AND FORCES [J] . Fei Jiang, Song Jiang, Junpin Yin Discrete and continuous dynamical systems . 2014,第2期

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4. Numerical solution of two-dimensional incompressible navier-stokes equations: treatment of velocity-pressure coupling [C] . S. M. H. Karimian, G. E. Schneider AIAA 25th AIAA Fluid Dynamics Conference June 20-23, 1994/Colorado Springs, CO . -1

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5. A center of mass method with applications to the solution of the two-dimensional Stokes equations in a channel. [D] . Lucia, Ned Francis. 1998

机译：重心法及其在通道中二维Stokes方程求解中的应用。
6. Analytical solutions for two-dimensional Stokes flow singularities in a no-slip wedge of arbitrary angle [O] . Darren G. Crowdy, Samuel J. Brzezicki -1

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7. Numerical solution of two-dimensional stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates [O] . A.S Dvinsky, A.S Popel 1986

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8. Numerical Solution of the Two-Dimensional Incompressible Averaged Navier-Stokes Equations for Finite Arbitrary Shaped Isolated Bodies. Part 1 [R] . Warsi, Z. U. A., Amlicke, B. B., Thompson, J. F. 1979

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Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using Boundary-Conforming Coordinates

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