Title
A spectral method for Stokes equations
Abstract
We find a spectral method for the solutions to Stokes equations in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre functions and two-dimensional complex variable functions are derived. Moreover the pressure can be decided from structure theorems for homogeneous solutions.
Year
DOI
Venue
1999
10.1016/S0096-3003(98)10062-0
Applied Mathematics and Computation
Keywords
Field
DocType
stokes equation,spectral method,spherical harmonic,three dimensional,power series expansion
Mathematical analysis,Spin-weighted spherical harmonics,Legendre polynomials,Spherical harmonics,Vector spherical harmonics,Associated Legendre polynomials,Spectral method,Legendre function,Mathematics,Stokes flow
Journal
Volume
Issue
ISSN
104
2-3
Applied Mathematics and Computation
Citations 
PageRank 
References 
1
0.67
0
Authors
2
Name
Order
Citations
PageRank
Hi Jun Choe153.52
Jeong Ho Chu221.06