Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations

• Autores: Ben-yu Guo, Wei Huang
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 8, 2007, págs. 939-961
• Idioma: inglés
• DOI: 10.1016/j.apnum.2006.09.003
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• Resumen

  • Mixed Jacobi-spherical harmonic spectral method is proposed for the Navier-Stokes equations in a ball. Its stability and convergence are proved. Numerical results demonstrate the efficiency of this approach. Some results on the mixed Jacobi-spherical harmonic approximation are established, which play important role in numerical analysis of spectral method in spherical geometry.