Fully Discrete Jacobi-Spherical Harmonic Spectral Method for Navier-Stokes Equations
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摘要: 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.该方法也可应用于球形区域中的其它问题.
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关键词:
- 全离散Jacobi-球面调和谱方法 /
- 球内Navier-Stokes方程 /
- 混合坐标
Abstract: A fully discrete Jacobi-spherical harmonic spectral method was provided for the Navier-Stokes equations in a ball.Its stability and convergence were proved.Numerical results show the efficiency of this approach.The proposed method is also applicable to other problems in spherical geometry. -
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