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NAVIER-STOKES方程的全离散JACOBI-球面调和谱方法

Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations

中文摘要英文摘要

本文提出了一种用于球内Navier-Stokes方程的全离散Jacobi-球面调和谱方法, 并证明了它的广义稳定性和收敛性。数值结果表明了该方法的有效性。本文提出的方法也可应用于球形区域中的其它问题。

fully discrete Jacobi-spherical harmonic spectral method is provided for the Navier-Stokes equations in a ball. Its stability and convergence are proved. Numerical results show the efficiency of this approach. The proposed method is also applicable to other problems in spherical geometry.

黄伟、郭本瑜

数学力学

全离散Jacobi-球面调和谱方法球内Navier-Stokes方程。

fully discrete Jacobi-spherical harmonic spectral methodNavier-Stokes equations in a ball

黄伟,郭本瑜.NAVIER-STOKES方程的全离散JACOBI-球面调和谱方法[EB/OL].(2008-02-27)[2025-08-21].http://www.paper.edu.cn/releasepaper/content/200802-339.点此复制

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