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A Computer Solution to the Stationary Navier-Stokes Equations in Two Dimensions with Proven Convergence

机译：具有证明收敛性的二维平稳Navier-stokes方程的计算机解

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摘要

A general computer solution for the stationary Navier-Stokes equations is developed. It is explicity proved that this solution converges to the true solution as the grid size shrinks to zero.

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作者
Gabrielsen, R. E.;
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年度 1981
页码 p.1-11
总页数 11
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Computational fluid dynamics; Convergence; Kernel functions; Navier-stokes equation; Algorithms; Computer programs; Green function; Integral equations; Partial differential equations;

机译：计算流体动力学;收敛;核函数; Navier-stokes方程;算法;计算机程序;格林函数;积分方程;偏微分方程;

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1. Superconvergence of stabilized low order finite volume approximation for the three-dimensional stationary Navier-stokes equations [J] . Li J., Wu J., Chen Z., International journal of numerical analysis and modeling . 2012,第2期

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2. Stationary Solutions and Nonuniqueness of Weak Solutions for the Navier-Stokes Equations in High Dimensions [J] . Luo Xiaoyutao Archive for Rational Mechanics and Analysis . 2019,第2期

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机译：完整Navier-Stokes方程流出问题的静止解决方案的收敛速度
4. Algorithm for Solving Non-stationary Three- Dimensional Navier-Stokes Equations withLarge Reynolds Numbers on Multiprocessor Systems [C] . Nargozy T. Danaev, Dauren B. Zhakebaev, Abugamil U. Abdibekov Russian-German Advanced Research Workshop on Computational Science and High Performance Computing . 2011

机译：求解非静止三维Navier-Stokes方程的算法在多处理器系统上的reynolds号码
5. Parallel, Block-Based, Adaptive Mesh Refinement, Finite-Volume Scheme for Solution of Three-Dimensional Favre-Averaged Navier-Stokes Equations. [D] . Prasad, Shawn. 2013

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6. On the Uniform Convergence of the Solutions of the Navier-Stokes Equations [O] . T. Y. Thomas 1943

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7. Generalized scale-invariant solutions to the two-dimensional stationary Navier-Stokes equations [O] . Guillod, Julien, Wittwer, Peter 2014

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A Computer Solution to the Stationary Navier-Stokes Equations in Two Dimensions with Proven Convergence

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