Open AccessCoordinates over Complex Terrain in Atmospheric Model
Author(s) -
Wenbin Sun
Publication year - 2021
Publication title -
journal of atmospheric science research
Language(s) - English
Resource type - Journals
ISSN - 2630-5119
DOI - 10.30564/jasr.v4i1.2704
Subject(s) - curvilinear coordinates , cartesian coordinate system , terrain , coordinate system , curl (programming language) , ellipsoidal coordinates , coordinate space , geodesy , orthogonal coordinates , geometry , spherical coordinate system , mathematical analysis , physics , geology , mathematics , computer science , geography , cartography , programming language
In the terrain following coordinate, Gal-Chen and Somerville (1975) and other proposed a vertical coordinate z*=(z-zb)/(zt-zb) and constant spatial intervals of dx* and dy*along the other directions. Because the variation of and was ignored, their coordinate does not really follow the terrain. It fails to reproduce the divergence and curl over a complex terrain. Aligning the coordinate with real terrain, the divergence and curl we obtained from the curvilinear coordinate are consistent with the Cartesian coordinate. With a modification, the simulated total mass, energy, and momentum from the Navier-Stokes equations are conserved and in agreement with those calculated from Cartesian coordinate.