A Positive‐Definite, WENO‐Limited, High‐Order Finite Volume Solver for 2‐D Transport on the Cubed Sphere Using an ADER Time Discretization
نویسندگان
چکیده
منابع مشابه
Finite-volume transport on various cubed-sphere grids
The performance of a multidimensional finite-volume transport scheme is evaluated on the cubed-sphere geometry. Advection tests with prescribed winds are used to evaluate a variety of cubed-sphere projections and grid modifications including the gnomonic and conformal mappings, as well as two numerically generated grids by an elliptic solver and spring dynamics. We explore the impact of grid no...
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This paper presents two finite-volume (FV) schemes for solving linear transport problems on the cubedsphere grid system. The schemes are based on the central-upwind finite-volume (CUFV) method, which is a class of Godunov-type method for solving hyperbolic conservation laws, and combines the attractive features of the classical upwind and central FV methods. One of the CUFV schemes is based on ...
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A conservative transport scheme based on the discontinuous Galerkin (DG) method has been developed for the cubed sphere. Two different central projection methods, equidistant and equiangular, are employed for mapping between the inscribed cube and the sphere. These mappings divide the spherical surface into six identical subdomains, and the resulting grid is free from singularities. Two standar...
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ژورنال
عنوان ژورنال: Journal of Advances in Modeling Earth Systems
سال: 2018
ISSN: 1942-2466,1942-2466
DOI: 10.1029/2017ms001247