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Steady-State Solutions of the Euler Equations in Two Dimensions: Rotating and Translating V-States with Limiting Cases. I. Numerical Algorithms and Results

机译：二维欧拉方程的稳态解：带有极限情形的V态的旋转和平移。 I.数值算法和结果

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New second- and third-order algorithms are presented for calculating translating and rotating steady-state solutions of the 2D incompressible Euler equations (which we call V-state). These are piecewise constant regions of vorticity and the contours bounding them are obtained by solving iteratively a nonlinear integro-differential equation. New limiting contours with corners are obtained and compared with local analytical solutions. The precise results correct mistakes for limiting contours that were previously given. (Author)

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Wu, H. M.; Overman, E. A.; Zabusky, N. J.;
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年度 1982
页码 p.1-65
总页数 65
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Algorithms; Iterations; Contours; Nonlinear differential equations; Two dimensional; Steady state;

机译：算法;迭代;等高线;非线性微分方程;二维;稳态;

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1. The Centrally Symmetric V-States for Active Scalar Equations. Two-Dimensional Euler with Cut-Off [J] . Denisov Sergey A. Communications in Mathematical Physics . 2015,第2期

机译：主动标量方程的中心对称V态。带截止的二维欧拉
2. A pseudo-spectral algorithm and test cases for the numerical solution of the two-dimensional rotating Green-Naghdi shallow water equations [J] . Pearce J.D., Esler J.G. Journal of Computational Physics . 2010,第20期

机译：二维旋转Green-Naghdi浅水方程数值解的拟谱算法和测试案例
3. Explicit and Implicit Solutions of First Order Algorithms Applied to the Euler Equations in Three-Dimensions [J] . Edisson Savio de Goes Maciel WSEAS Transactions on Heat and Mass Transfer . 2014,第Null期

机译：一维算法在三维Euler方程上的显式和隐式解
4. Rotated Upwind Algorithms for Solution of the Two- and Three-Dimensional Euler and Navier-Stokes Equations [C] . D.A.Kontinos, D.S.McRae 25th AIAA Fluid Dynamics Conference June 20-23, 1994 / Colorado Springs, CO . -1

机译：求解二维和三维Euler和Navier-Stokes方程的旋转迎风算法
5. Rotated upwind algorithms for solution of the two- and three-dimensional Euler and Navier-Stokes equations. [D] . Kontinos, Dean Arthur. 1994

机译：用于解决二维和三维Euler和Navier-Stokes方程的旋转迎风算法。
6. From the Cover: Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions [O] . Ole H. Hald, Panagiotis Stinis 2007

机译：从封面开始：二维和三维欧拉方程解的最优预测和衰减率
7. Dynamical approach study of spurious steady-state numerical solutions of nonlinear differential equations. I. The dynamics of time discretization and its implications for algorithm development in computational fluid dynamics [O] . H.C Yee, P.K Sweby, D.F Griffiths 1991

机译：非线性微分方程虚假稳态数值解的动态逼近研究。 I.时间离散化的动态及其对计算流体动力学算法开发的影响
8. Steady-State Solutions of the Euler Equations in Two Dimensions: Rotating and Translating V-States with Limiting Cases. I. Numerical Algorithms and Results. [R] . Wu, H. M., Overman, E. A., Zabusky, N. J. 1982

机译：二维欧拉方程的稳态解：带有极限情形的V态的旋转和平移。 I.数值算法和结果。

Steady-State Solutions of the Euler Equations in Two Dimensions: Rotating and Translating V-States with Limiting Cases. I. Numerical Algorithms and Results

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