气候变化领域集成服务门户(CCPortal): An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables

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DOI	10.1029/2019MS001783
	An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables
	Taylor M.A.; Guba O.; Steyer A.; Ullrich P.A.; Hall D.M.; Eldrid C.
发表日期	2020
ISSN	19422466
卷号	12 期号:1
英文摘要	We derive a formulation of the nonhydrostatic equations in spherical geometry with a Lorenz staggered vertical discretization. The combination conserves a discrete energy in exact time integration when coupled with a mimetic horizontal discretization. The formulation is a version of Dubos and Tort (2014, https://doi.org/10.1175/MWR-D-14-00069.1) rewritten in terms of primitive variables. It is valid for terrain following mass or height coordinates and for both Eulerian or vertically Lagrangian discretizations. The discretization relies on an extension to Simmons and Burridge (1981, https://doi.org/10.1175/1520-0493(1981)109<0758:AEAAMC>2.0.CO;2) vertical differencing, which we show obeys a discrete derivative product rule. This product rule allows us to simplify the treatment of the vertical transport terms. Energy conservation is obtained via a term-by-term balance in the kinetic, internal, and potential energy budgets, ensuring an energy-consistent discretization up to time truncation error with no spurious sources of energy. We demonstrate convergence with respect to time truncation error in a spectral element code with a horizontal explicit vertically implicit implicit-explicit time stepping algorithm. ©2019. The Authors.
英文关键词	dynamical core; energy conservation; hamiltonian; mimetic; nonhydrostatic
语种	英语
scopus关键词	Budget control; Energy conservation; Hamiltonians; Potential energy; Discrete derivatives; Dynamical core; mimetic; Non-hydrostatic; Non-hydrostatic equations; Primitive variables; Spherical geometries; Time stepping algorithms; HTTP; algorithm; energy conservation; geometry; potential energy
来源期刊	Journal of Advances in Modeling Earth Systems
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/156780
作者单位	Computational Science, Sandia National Laboratories, Albuquerque, NM, United States; Department of Land, Air and Water Resources, University of California, Davis, CA, United States; NVIDIA, Santa Clara, CA, United States; Université Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, Grenoble, France
推荐引用方式 GB/T 7714	Taylor M.A.,Guba O.,Steyer A.,et al. An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables[J],2020,12(1).
APA	Taylor M.A.,Guba O.,Steyer A.,Ullrich P.A.,Hall D.M.,&Eldrid C..(2020).An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables.Journal of Advances in Modeling Earth Systems,12(1).
MLA	Taylor M.A.,et al."An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables".Journal of Advances in Modeling Earth Systems 12.1(2020).