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):  
2021 ◽  
Vol 38 (9) ◽  
pp. 1460-1473 ◽  
Author(s):  
Jie Tang ◽  
Chungang Chen ◽  
Xueshun Shen ◽  
Feng Xiao ◽  
Xingliang Li

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.


2018 ◽  
Vol 144 (714) ◽  
pp. 1611-1627 ◽  
Author(s):  
Jie Tang ◽  
Chungang Chen ◽  
Xingliang Li ◽  
Xueshun Shen ◽  
Feng Xiao

1999 ◽  
Author(s):  
Bohdan Cybyk ◽  
Jay Boris ◽  
Theodore Young, Jr. ◽  
Charles Lind ◽  
Alexandra Landsberg

2019 ◽  
Author(s):  
Michael Stukel ◽  
Thomas Kelly

Thorium-234 (234Th) is a powerful tracer of particle dynamics and the biological pump in the surface ocean; however, variability in carbon:thorium ratios of sinking particles adds substantial uncertainty to estimates of organic carbon export. We coupled a mechanistic thorium sorption and desorption model to a one-dimensional particle sinking model that uses realistic particle settling velocity spectra. The model generates estimates of 238U-234Th disequilibrium, particulate organic carbon concentration, and the C:234Th ratio of sinking particles, which are then compared to in situ measurements from quasi-Lagrangian studies conducted on six cruises in the California Current Ecosystem. Broad patterns observed in in situ measurements, including decreasing C:234Th ratios with depth and a strong correlation between sinking C:234Th and the ratio of vertically-integrated particulate organic carbon (POC) to vertically-integrated total water column 234Th, were accurately recovered by models assuming either a power law distribution of sinking speeds or a double log normal distribution of sinking speeds. Simulations suggested that the observed decrease in C:234Th with depth may be driven by preferential remineralization of carbon by particle-attached microbes. However, an alternate model structure featuring complete consumption and/or disaggregation of particles by mesozooplankton (e.g. no preferential remineralization of carbon) was also able to simulate decreasing C:234Th with depth (although the decrease was weaker), driven by 234Th adsorption onto slowly sinking particles. Model results also suggest that during bloom decays C:234Th ratios of sinking particles should be higher than expected (based on contemporaneous water column POC), because high settling velocities minimize carbon remineralization during sinking.


Tellus B ◽  
2003 ◽  
Vol 55 (2) ◽  
pp. 522-529 ◽  
Author(s):  
Shamil Maksyutov ◽  
Toshinobu Machida ◽  
Hitoshi Mukai ◽  
Prabir K. Patra ◽  
Takakiyo Nakazawa ◽  
...  
Keyword(s):  

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