DOI: 10.1002/2015MS000428
Scopus记录号: 2-s2.0-84944879151
论文题名: Stereographic projection for three-dimensional global discontinuous Galerkin atmospheric modeling
作者: Blaise S ; , Lambrechts J ; , Deleersnijder E
刊名: Journal of Advances in Modeling Earth Systems
ISSN: 19422466
出版年: 2015
卷: 7, 期: 3 起始页码: 1026
结束页码: 1050
语种: 英语
英文关键词: Aspect ratio
; Computational fluid dynamics
; Galerkin methods
; Incompressible flow
; Spheres
; Atmospheric model
; Compressible Navier-Stokes equations
; Convergence properties
; Discontinuous galerkin
; Geophysical flows
; Numerical dissipation
; Stereographic projection
; Substantial reduction
; Navier Stokes equations
; atmospheric modeling
; computational fluid dynamics
; model validation
; Navier-Stokes equations
; numerical method
; stereographic projection
; three-dimensional flow
英文摘要: A method to solve the three-dimensional compressible Navier-Stokes equations on the sphere is suggested, based on a stereographic projection with a high-order mapping of the elements from the stereographic space to the sphere. The projection is slightly modified, in order to take into account the domain thickness without introducing any approximation about the aspect ratio (deep-atmosphere). In a discontinuous Galerkin framework, the elements alongside the equator are exactly represented using a nonpolynomial geometry, in order to avoid the numerical issues associated with the seam connecting the two hemispheres. This is an crucial point, necessary to avoid mass loss and spurious deviations of the velocity. The resulting model is validated on idealized three-dimensional atmospheric test cases on the sphere, demonstrating the good convergence properties of the scheme, its mass conservation, and its satisfactory behavior in terms of accuracy and low numerical dissipation. A simulation is performed on a variable resolution unstructured grid, producing accurate results despite a substantial reduction of the number of elements. © 2015. The Authors. Citation statistics:
资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/75976
Appears in Collections: 影响、适应和脆弱性 气候变化与战略
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作者单位: Institute of Mechanics, Materials and Civil Engineering, Université Catholique de Louvain, Louvain-la-Neuve, Belgium; Institute of Mechanics, Materials and Civil Engineering, Earth and Life Institute, Université Catholique de Louvain, Louvain-la-Neuve, Belgium; Delft Institute of Applied Mathematics, Delft University of Technology, Delft, Netherlands
Recommended Citation:
Blaise S,, Lambrechts J,, Deleersnijder E. Stereographic projection for three-dimensional global discontinuous Galerkin atmospheric modeling[J]. Journal of Advances in Modeling Earth Systems,2015-01-01,7(3)