Numerical solution of unsteady Navier-Stokes equations oncurvilinear meshes

Abdullah Shah; Li Yuan; Shamsul Islam

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Numerical solution of unsteady Navier-Stokes equations oncurvilinear meshes

机译：曲线网格上非定常Navier-Stokes方程的数值解

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The objective of the present work is to extend our FDS-based third-order upwind compact schemes by Shah et al. (2009) [8] to numerical solutions of the unsteady incompressible Navier-Stokes equations in curvilinear coordinates, which will save much computing time and memory allocation by clustering grids in regions of high velocity gradients. The dual-time stepping approach is used for obtaining a divergence-free flow field at each physical time step. We have focused on addressing the crucial issue of implementing upwind compact schemes for the convective terms and a central compact scheme for the viscous terms on curvilinear structured grids. The method is evaluated in solving several two-dimensional unsteady benchmark flow problems.

机译：本工作的目的是扩展Shah等人的基于FDS的三阶迎风紧凑方案。（2009）[8]求解曲线坐标中的非稳态不可压缩Navier-Stokes方程的数值解，通过在高速梯度区域中对网格进行聚类，将节省大量的计算时间和内存分配。双重时间步进方法用于在每个物理时间步长获得无散度的流场。我们专注于解决关键问题，即在曲线结构化网格上实施对流项的迎风紧凑方案和粘性项的中央紧凑方案。在解决几个二维不稳定基准流问题中对方法进行了评估。

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来源
《Computers & mathematics with applications》 |2012年第11期|p.1548-1556|共9页
作者
Abdullah Shah; Li Yuan; Shamsul Islam;
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作者单位

Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad 44000, Pakistan;

LSEC Institute of Computational Mathematics Scientific/Engineering Computing, Academy of Mathematics & Systems Science, Chinese Academy ofSciences, Beijing 100190, PR China;

Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad 44000, Pakistan;

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正文语种 eng
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incompressible navier-stokes equations; artificial compressibility; upwind compact scheme; oscillating plate; taylor decaying vortices; flow over a cylinder;

机译：不可压缩的纳斯托斯方程;人为可压缩性;迎风紧凑方案;振荡板;泰勒衰减涡旋;圆柱体上的流动;

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专利

1. On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible navier-stokes equations [J] . Lan Chieh Huang Journal of Computational Mathematics . 2002,第1期

机译：关于非定常不可压缩Navier-stokes方程数值解的离散投影和数值边界条件
2. MODELING OF THE LAMINAR-TURBULENT TRANSITION BASED ON THE NUMERICAL SOLUTIONS OF UNSTEADY NAVIER-STOKES EQUATIONS [J] . V. V. Vozhdaev, A. E Kiselev, D. S. Sboev, TsAGI science journal . 2016,第3期

机译：非定常Navier-Stokes方程数值解的层流湍流建模
3. Manifold method coupled velocity and pressure for Navier-Stokes equations and direct numerical solution of unsteady incompressible viscous flow [J] . Zhengrong Zhang, Xiangwei Zhang, Jinhua Yan Computers & Fluids . 2010,第8期

机译：Navier-Stokes方程速度与压力耦合的流形方法和非定常不可压缩粘性流的直接数值解
4. A dual-time method for the solution of the 2d unsteady navier-stokes equations on structured moving meshes [C] . Ann L. Gaitonde AIAA applied aerodynamics conference . 1995

机译：在结构化运动网格上求解二维非稳态Navier-stokes方程的双重时间方法
5. Numerical solutions of unsteady incompressible Navier-Stokes equations using an explicit finite analytic scheme. [D] . Dai, Weizhong. 1994

机译：使用显式有限解析方案的非定常不可压缩Navier-Stokes方程的数值解。
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

机译：具有复杂浸入边界的曲线域中求解3D非稳态不可压缩Navier-Stokes方程的数值方法
7. Numerical solution of unsteady Navier–Stokes equations on curvilinear meshes [O] . Shah Abdullah, Yuan Li, Islam Shamsul 2012

机译：曲线网格上非定常Navier–Stokes方程的数值解
8. Variable degree Schwarz methods for the implicit solution of unsteady compressible Navier-Stokes equations on two-dimensional unstructured meshes [R] . Cai, Xiao-Chuan, Farhat, Charbel, Sarkis, Marcus 1996

机译：二维非结构网格上非定常可压缩Navier-stokes方程隐式求解的可变度schwarz方法

Numerical solution of unsteady Navier-Stokes equations oncurvilinear meshes

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