Difference schemes on vertical grids in a hydrostatic model

作者：Liu Yudi^*; Cheng Huhua; Hou Zhiming

来源：Chinese Journal of Computational Physics, 2008, 25(4): 437-444.

• Baroclinic
• Compact difference scheme
• Compact schemes
• Difference schemes
• Dispersion relations
• Frequency
• General method
• Group velocities
• Horizontal length
• Hydrostatic modeling
• Non-staggered grids
• Phillips
• Second orders
• Staggered grids
• Vertical component of group velocity
• Vertical components
• Vertical grids

To study forth-order compact schemes in numerical atmospheric or oceanic models, a general method is proposed for dispersion relation of hydrostatic linear baroclinic adjustment equations with differential or difference schemes, at horizontal length of 100 km, 10 km and 1 km, respectively. Non-staggered grids (N grids), Lorenz grids (L grids), Charney-Phillips grids (CP grids), Lorenz time staggered grids (LTS grids) and Charney-Phillips time staggered grids (CPTS grids) in a second-order centered scheme and a forth-order compact scheme are compared. The forth-order compact scheme reduces errors of frequency, horizontal and vertical component of group velocity on N grids, CP grids and CPTS grids obviously, but increases errors of horizontal and vertical component of group velocity on LTS grids.

• 出版日期2008