A non‐oscillatory multimoment finite‐volume global transport model on a cubed‐sphere grid using the WENO slope limiter

2018 ◽  
Vol 144 (714) ◽  
pp. 1611-1627 ◽  
Author(s):  
Jie Tang ◽  
Chungang Chen ◽  
Xingliang Li ◽  
Xueshun Shen ◽  
Feng Xiao
Keyword(s):  
Finite Volume ◽  
Transport Model ◽  
Global Transport ◽  
Slope Limiter ◽  
Cubed Sphere

scholarly journals A Positivity-preserving Conservative Semi-Lagrangian Multi-moment Global Transport Model on the Cubed Sphere

2021 ◽  
Vol 38 (9) ◽  
pp. 1460-1473 ◽  
Author(s):  
Jie Tang ◽  
Chungang Chen ◽  
Xueshun Shen ◽  
Feng Xiao ◽  
Xingliang Li
Keyword(s):  
Single Cell ◽  
Rational Function ◽  
Finite Volume ◽  
Transport Model ◽  
Practical Implementation ◽  
Finite Volume Scheme ◽  
Courant Number ◽  
Positivity Preserving ◽  
Sphere Geometry ◽  
Cubed Sphere

AbstractA positivity-preserving conservative semi-Lagrangian transport model by multi-moment finite volume method has been developed on the cubed-sphere grid. Two kinds of moments (i.e., point values (PV moment) at cell interfaces and volume integrated average (VIA moment) value) are defined within a single cell. The PV moment is updated by a conventional semi-Lagrangian method, while the VIA moment is cast by the flux form formulation to assure the exact numerical conservation. Different from the spatial approximation used in the CSL2 (conservative semi-Lagrangian scheme with second order polynomial function) scheme, a monotonic rational function which can effectively remove non-physical oscillations is reconstructed within a single cell by the PV moments and VIA moment. To achieve exactly positive-definite preserving, two kinds of corrections are made on the original conservative semi-Lagrangian with rational function (CSLR) scheme. The resulting scheme is inherently conservative, non-negative, and allows a Courant number larger than one. Moreover, the spatial reconstruction can be performed within a single cell, which is very efficient and economical for practical implementation. In addition, a dimension-splitting approach coupled with multi-moment finite volume scheme is adopted on cubed-sphere geometry, which benefitsthe implementation of the 1D CSLR solver with large Courant number. The proposed model is evaluated by several widely used benchmark tests on cubed-sphere geometry. Numerical results show that the proposed transport model can effectively remove nonphysical oscillations and preserve the numerical non-negativity, and it has the potential to transport the tracers accurately in a real atmospheric model.

scholarly journals A mimetic, semi-implicit, forward-in-time, finite volume shallow water model: comparison of hexagonal–icosahedral and cubed-sphere grids

2014 ◽  
Vol 7 (3) ◽  
pp. 909-929 ◽  
Author(s):  
J. Thuburn ◽  
C. J. Cotter ◽  
T. Dubos
Keyword(s):  
Shallow Water ◽  
Finite Volume ◽  
Model Comparison ◽  
Mass Conservation ◽  
Time Discretization ◽  
Water Model ◽  
Tracer Transport ◽  
Exact Mass ◽  
Large Wave ◽  
Cubed Sphere

Abstract. A new algorithm is presented for the solution of the shallow water equations on quasi-uniform spherical grids. It combines a mimetic finite volume spatial discretization with a Crank–Nicolson time discretization of fast waves and an accurate and conservative forward-in-time advection scheme for mass and potential vorticity (PV). The algorithm is implemented and tested on two families of grids: hexagonal–icosahedral Voronoi grids, and modified equiangular cubed-sphere grids. Results of a variety of tests are presented, including convergence of the discrete scalar Laplacian and Coriolis operators, advection, solid body rotation, flow over an isolated mountain, and a barotropically unstable jet. The results confirm a number of desirable properties for which the scheme was designed: exact mass conservation, very good available energy and potential enstrophy conservation, consistent mass, PV and tracer transport, and good preservation of balance including vanishing ∇ × ∇, steady geostrophic modes, and accurate PV advection. The scheme is stable for large wave Courant numbers and advective Courant numbers up to about 1. In the most idealized tests the overall accuracy of the scheme appears to be limited by the accuracy of the Coriolis and other mimetic spatial operators, particularly on the cubed-sphere grid. On the hexagonal grid there is no evidence for damaging effects of computational Rossby modes, despite attempts to force them explicitly.

scholarly journals Estimating Aerosol Emissions by Assimilating Remote Sensing Observations into a Global Transport Model

2012 ◽  
Vol 4 (11) ◽  
pp. 3528-3543 ◽  
Author(s):  
Nick Schutgens ◽  
Makiko Nakata ◽  
Teruyuki Nakajima
Keyword(s):  
Remote Sensing ◽  
Transport Model ◽  
Global Transport ◽  
Aerosol Emissions

scholarly journals A multi-moment transport model on cubed-sphere grid

2010 ◽  
Vol 67 (12) ◽  
pp. 1993-2014 ◽  
Author(s):  
C. G. Chen ◽  
F. Xiao ◽  
X. L. Li ◽  
Y. Yang
Keyword(s):  
Transport Model ◽  
Cubed Sphere

An accurate multimoment constrained finite volume transport model on Yin-Yang grids

2013 ◽  
Vol 30 (5) ◽  
pp. 1320-1330 ◽  
Author(s):  
Xingliang Li ◽  
Xueshun Shen ◽  
Xindong Peng ◽  
Feng Xiao ◽  
Zhaorong Zhuang ◽  
...  
Keyword(s):  
Finite Volume ◽  
Transport Model ◽  
Volume Transport ◽  
Yin Yang
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