A 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 efficiency of this approach. The propo...A 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 efficiency of this approach. The proposed method is also applicable to other problems in spherical geometry.展开更多
基金Project supported by the National Natural Science Foundation of China(No.10771142)Science and Technology Commission of Shanghai Municipality(No.75105118)+2 种基金Shanghai Leading Academic Discipline Projects(Nos.T0401 and J50101)Fund for E-institutes of Universities in Shanghai(No.E03004)and Innovative Foundation of Shanghai University(No.A.10-0101-07-408)
文摘A 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 efficiency of this approach. The proposed method is also applicable to other problems in spherical geometry.
