A spectral method to the stochastic Stokes equations on the sphere

Authors

  • Q. T. Le Gia School of Mathematics and Statistics University of New South Wales, Sydney NSW 2052
  • J. J. Peach School of Mathematics and Statistics University of New South Wales, Sydney NSW 2052

DOI:

https://doi.org/10.21914/anziamj.v60i0.13987

Keywords:

Stochastic Stokes equations, spectral method, unit sphere

Abstract

We construct numerical solutions to the stochastic Stokes equations on the unit sphere with additive noise. By characterising the noise as a tangential vector field, the weak formulation is derived and a spectral method is used to obtain a numerical solution. The theory is illustrated through a numerical experiment. References
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Published

2019-06-26

Issue

Vol. 60 (2018)

Section

Proceedings Computational Techniques and Applications Conference