A Simple Method to Find a Neighboring Grid Point on the Cubed-sphere

Recently, there has been increasing interest in the use of cubed-sphere geometry in the geoscientific modeling community. For diverse numerical operations such as remapping and parallel communications, the search of neighbor elements or points is required. Here, we propose a novel and simple method to find a neighboring element or point on the cubed-sphere. This new method can be universally used for any types of cubed-sphere, for example, equi-angular, conformal, uniform-jacobian cubed-sphere etc. Key points to simplify the search algorithm are the definition of rotation counts of panels neighboring the centered panel, and the use of operations to obtain integer quotient and remainder given an index interval from the source point. Along with the introduction of the methodology, some examples using this method is described in this article.