Articles | Volume 10, issue 1
Development and technical paper
30 Jan 2017
Development and technical paper |  | 30 Jan 2017

Conservative interpolation between general spherical meshes

Evaggelos Kritsikis, Matthias Aechtner, Yann Meurdesoif, and Thomas Dubos

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Cited articles

Alauzet, F. and Mehrenberger, M.: P1-conservative solution interpolation on unstructured triangular meshes, Int. J. Numer. Meth. Engng., RR-6804, 1–48, 2009.
Farrell, P. and Maddison, J.: Conservative interpolation between volume meshes by local Galerkin projection, Comput. Meth. Appl. M., 200, 89–100, 2011.
Farrell, P., Piggott, M., Pain, C., Gorman, G., and Wilson, C.: Conservative interpolation between unstructured meshes via supermesh construction, Comput. Meth. Appl. M., 198, 2632–2642, 2009.
Fu, Y., Teng, J.-C., and Subramanya, S.: Node splitting algorithms in tree-structured high-dimensional indexes for similarity search, Proc. of SAC '02, 766–770, 2002.
Guo, D. X. and Drake, J. B.: A global semi-Lagrangian spectral model of the shallow water equations with variable resolution, J. Comput. Phys., 206, 559–577, 2005.
Short summary
This paper describes conservative interpolation on the sphere. A function is computed on one mesh from its values on another mesh so that the total mass is preserved, which is vital for climate modeling, and for second-order accuracy. This is done through a common refinement of the meshes, built in quasilinear time by tree sorting the mesh cells. It can be built into climate models for flexible I/O or coupling. Examples of commonly used meshes are given.