Open AccessA Finite-Volume Grid Using Multimoments for Geostrophic Adjustment
Author(s) -
Feng Xiao,
Xindong Peng,
Xueshun Shen
Publication year - 2006
Publication title -
monthly weather review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.862
H-Index - 179
eISSN - 1520-0493
pISSN - 0027-0644
DOI - 10.1175/mwr3197.1
Subject(s) - finite volume method , discretization , grid , control volume , context (archaeology) , volume (thermodynamics) , geostrophic wind , surface (topology) , regular grid , simple (philosophy) , dispersion (optics) , mathematics , computer science , mathematical optimization , mathematical analysis , mechanics , geology , geometry , physics , thermodynamics , paleontology , philosophy , epistemology , optics
This paper presents a novel finite-volume grid that uses not only the volume-integrated average (VIA) like the traditional finite-volume method, but also the surface-integrated average (SIA) as the model variables. The VIA and SIA are generically called “moments” in the context used here and are carried forward in time separately as the prognostic quantities. With the VIA defined in the control volume while the SIA is on the surface of the control volume, the discretization based on VIA and SIA leads to some new features in the numerical dispersions. A simple formulation using both VIA and SIA for shallow-water equations is presented. The numerical dispersion of the resulting grid, which is denoted as the “M grid,” is discussed with comparisons to the existing ones.