A Control-Volume Model of the Compressible Euler Equations with a Vertical Lagrangian Coordinate

作者:Chen Xi*; Andronova Natalia; Van Leer Bram; Penner Joyce E; Boyd John P; Jablonowski Christiane; Lin Shian Jiann
来源:Monthly Weather Review, 2013, 141(7): 2526-2544.
DOI:10.1175/MWR-D-12-00129.1

摘要

Accurate and stable numerical discretization of the equations for the nonhydrostatic atmosphere is required, for example, to resolve interactions between clouds and aerosols in the atmosphere. Here the authors present a modification of the hydrostatic control-volume approach for solving the nonhydrostatic Euler equations with a Lagrangian vertical coordinate. A scheme with low numerical diffusion is achieved by introducing a low Mach number approximate Riemann solver (LMARS) for atmospheric flows. LMARS is a flexible way to ensure stability for finite-volume numerical schemes in both Eulerian and vertical Lagrangian configurations. This new approach is validated on test cases using a 2D (x-z) configuration.

  • 出版日期2013-7