Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics
Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics
Many applications in science call for the numerical simulation of systems on manifolds with spherical topology. Through the 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 …