摘要
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.
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.
基金
Project supported by the National Natural Science Foundation of China(No.10771142)
Science and Technology Commission of Shanghai Municipality(No.75105118)
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)
