A convexity preserving scheme for conservative advection transport

Xiao, Feng; Peng, Xindong

doi:10.1016/j.jcp.2004.01.013

Cited by 24 publications

(21 citation statements)

References 16 publications

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“…A new PRM5 scheme is developed for the Cubic3 scheme by improving both vertical and horizontal procedures to simulate better distributions of chemical constituents. The vertical procedure employs the piecewise rational method (PRM) (Xiao and Peng, 2004), and the horizontal procedure uses a quintic interpolation. PRM, which uses an analytically integrable rational function in reconstructing in-cell profiles from cell-averaged values, exhibits better performance for sharp gradient profiles than the piecewise parabolic method (PPM) (Colella and Woodward, 1984) using a parabolic function.…”

Section: Modelmentioning

confidence: 99%

Long-term variations and trends in the simulation of the middle atmosphere 1980–2004 by the chemistry-climate model of the Meteorological Research Institute

Shibata

Deushi

2008

Ann. Geophys.

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Abstract.A middle-atmosphere simulation of the past 25 years (from 1980 to 2004) has been performed with a chemistry-climate model (CCM) of the Meteorological Research Institute (MRI) under observed forcings of seasurface temperature, greenhouse gases, halogens, volcanic aerosols, and solar irradiance variations. The dynamics module of MRI-CCM is a spectral global model truncated triangularly at a maximum wavenumber of 42 with 68 layers extending from the surface to 0.01 hPa (about 80 km), wherein the vertical spacing is 500 m from 100 to 10 hPa. The chemistry-transport module treats 51 species with 124 reactions including heterogeneous reactions. Transport of chemical species is based on a hybrid semi-Lagrangian scheme, which is a flux form in the vertical direction and an ordinary semi-Lagrangian form in the horizontal direction. The MRI-CCM used in this study reproduced a quasi-biennial oscillation (QBO) of about a 20-month period for wind and ozone in the equatorial stratosphere. Multiple linear regression analysis with time lags for volcanic aerosols was performed on the zonal-mean quantities of the simulated result to separate the trend, the QBO, the El Chichón and Mount Pinatubo, the 11-year solar cycle, and the El Niño/Southern Oscillation (ENSO) signals. It is found that MRI-CCM can more or less realistically reproduce observed trends of annual mean temperature and ozone, and those of total ozone in each month. MRI-CCM also reproduced the vertical multi-cell structures of tropical temperature, zonal-wind, and ozone associated with the QBO, and the mid-latitude total ozone QBO in each winter hemisphere. Solar irradiance variations of the 11-year cycle were found to affect radiation alone (not photodissociation) because of an error in making the photolysis lookup table. Nevertheless, though the heights of the maximum temperature (ozone) in the tropics are much higher (lower) than observations, MRI-CCM could reproduce the Correspondence to: K. Shibata (kshibata@mri-jma.go.jp) second maxima of temperature and ozone in the lower stratosphere, demonstrating that the dynamic effect outweighs the photochemical effect there. The ENSO signals of annual mean temperature, zonal wind, and ozone are generally reproduced in the troposphere and below the middle stratosphere. The volcanic signals of temperature increase and ozone decrease are much overestimated for both El Chichón and Mount Pinatubo.

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Section: Modelmentioning

confidence: 99%

Long-term variations and trends in the simulation of the middle atmosphere 1980–2004 by the chemistry-climate model of the Meteorological Research Institute

Shibata

Deushi

2008

Ann. Geophys.

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“…A high resolution scheme requires the reconstruction to be built in such a way so that the numerical solution has an accuracy higher than second-order for the smooth region, but does not produce significant numerical oscillations in the presence of the discontinuities. Representative schemes of this category are the monotone upwind scheme for conservation laws (MUSCL) [21], the total variation diminishing (TVD) [6], the piecewise parabolic method (PPM) [1], the piecewise rational method (PRM) [35], the essentially non-oscillatory (ENO) [7,17,18], and the weighted ENO (WENO) [11,9]. In these methods, only the VIA is used as the model variable which is stored and predicted in time.…”

Section: Introductionmentioning

confidence: 99%

CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation

Xiao

2007

Journal of Computational Physics

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“…In the current version of Scup, only the eta-coordinate, a hybrid vertical coordinate of sigma (terrain following coordinate) and pressure, is supported in the vertical grid transformation. The Piecewise Rational Method (PRM; Xiao and Peng, 2004) is used for the vertical grid transformation, guaranteeing a monotonic and conservative interpolation. Figure 5 illustrates a conservative vertical grid transformation.…”

Section: Vertical Grid Transformationmentioning

confidence: 99%

“…Next, q k is calculated from the mean value of q(p) in each full level after the transformation. See Xiao and Peng (2004) and Colella and Woodward (1984) for details about the interpolation function.…”

Section: Vertical Grid Transformationmentioning

confidence: 99%

Development of a Simple Coupler (Scup) for Earth System Modeling

裕正¹,

誠史²

2008

Pap. Met. Geophys.

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We have developed a general-purpose simple coupler (Scup) that can be used for earth system modeling. Scup allows flexible coupling among component models, for example, atmosphere and ocean general circulation models and chemical transport models. Although Scup has provided functions that are required for the efficient development of an earth system model at the Meteorological Research Institute, its fundamental design should also be applicable to other earth system models. Processes of the component models communicate with each other directly by calling the Scup library, which is necessary to efficiently exchange large amounts of grid data among the processes of the component models. Scup supports grid transformation for three-dimensional data and that for two-dimensional data with accurate local and global conservation, necessary features for coupling component models with different coordinates or grids.Simplicity and ease of use are among Scup's strong points. All of the source code is written in Fortran and can be compiled on various platforms with a Fortran 95 compiler and a Message Passing Interface library, so it has good portability.

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A convexity preserving scheme for conservative advection transport

Cited by 24 publications

References 16 publications

Long-term variations and trends in the simulation of the middle atmosphere 1980–2004 by the chemistry-climate model of the Meteorological Research Institute

Long-term variations and trends in the simulation of the middle atmosphere 1980–2004 by the chemistry-climate model of the Meteorological Research Institute

CIP/multi-moment finite volume method for Euler equations: A semi-Lagrangian characteristic formulation

Development of a Simple Coupler (Scup) for Earth System Modeling

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