Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics

Understand

Many applications in science call for the numerical simulation of systems on manifolds with spherical topology.

• Through use of integer spin weighted spherical harmonics we present a method which allows for the implementation of arbitrary tensorial evolution equations.
• Our method combines two numerical techniques that were originally developed with different applications in mind.
• The first is Huffenberger and Wandelt's spectral decomposition algorithm to perform the mapping from physical to spectral space.