How to understand the process "coupled with vertical metric" like:rho_zz(k,iCell) = rho_zz(k,iCell) / zz(k,iCell) in init＿module．

[yongxuanzhao]

ＨＩ　ｅｖｅｒｙｏｎｅ，Ｉ　ａｍ　ａｌｗａｙｓ　ｃｏｎｆｕｓｅｄ　ａｂｏｕｔ　ｖａｒｉａｂｌｅ　ｚｚ　ａｎｄ　ｓｏｍｅ　ｒｅｌａｔｅｄ　ｐｒｏｃｅｓｓ．Ｉ　ｗａｎｔ　ｔｏ　ｋｎｏｗ　How to understand the process "coupled with vertical metric" like:rho_zz(k,iCell) = rho_zz(k,iCell) / zz(k,iCell) in init＿module．ｃａｎ＇ｔ　ｗｅ　ｊｕｓｔ　ｕｓｅ　ｒｈｏ　ｉｎ　ｔｈｅ　ｍｏｄｅｌ？
Ｓｏｒｒｙ　ｔｏ　ｄｉｓｔｕｒｂ．

 

[Ming Chen]

Please take a look at the paper below, which describes coupled prognostic variables in the height-based terrain-following vertical coordinate.

W. C. Skamarock, Hing Ong and J. B. Klemp, 2021: A Fully Compressible Nonhydrostatic Deep-Atmosphere-Equations Solver for MPAS. Monthly Weather Review, 149 (2): 571-583, doi:10.1175/MWR-D-20-0286.1

Hope this can help you understand why the variables are coupled with vertical metric.

 

[yongxuanzhao]

Please take a look at the paper below, which describes coupled prognostic variables in the height-based terrain-following vertical coordinate.

W. C. Skamarock, Hing Ong and J. B. Klemp, 2021: A Fully Compressible Nonhydrostatic Deep-Atmosphere-Equations Solver for MPAS. Monthly Weather Review, 149 (2): 571-583, doi:10.1175/MWR-D-20-0286.1

Hope this can help you understand why the variables are coupled with vertical metric.

Thanks chen，that means a lot ,I will check that paper