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In this paper, we describe a method designed to add precision to radiationsimulations in the adaptive mesh refinement cosmological hydrodynamics codeENZO. We build upon the geometric correction factor described in\textit{ENZO+MORAY: radiation hydrodynamics adaptive mesh refinementsimulations with adaptive ray tracing} (Wise and Abel 2011) which accounts forpartial coverage of a ray's solid angle with a cube. Because of this geometricmismatch in the methods to approximate this, there are artifacts in theradiation field. Here, we address the two-dimensional extension, which acts asa sufficient estimate of the three-dimensional case and, in practice, theHierarchical Equal Area isoLatitude Pixelization of the sphere (HEALPix)(Gorski 2005). We will demonstrate the value of an extension to the geometriccorrection factor and lay the groundwork for a future implementation to ENZO toimprove simulations of radiation from point sources.

Trigonometric Extension of the Geometric Correction Factor: Prototype for adding precision to adaptive ray tracing in ENZO