On simplifying ‘incremental remap’–based transport schemes

Lauritzen, P. H.; Erath, Christoph; Mittal, R. C.

doi:10.1016/j.jcp.2011.06.030

Cited by 19 publications

(33 citation statements)

References 15 publications

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“…The specific formulation in ICON is able to cope with large Courant-numbers (CFL > 1), following the approach proposed by Skamarock (2006). For horizontal transport, a simplified flux-form semiLagrangian (FFSL) scheme is used, similar to Miura (2007) and Lauritzen et al (2011). The basic idea for computing the horizontal flux divergence, is to trace the area that is "swept" through an Eulerian cell edge during 1 time step.…”

Section: Tracer Transportmentioning

confidence: 99%

ICON–ART 1.0 – a new online-coupled model system from the global to regional scale

et al. 2015

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Abstract. We present the first stage of a new online-coupled global to regional-scale modeling framework for the simulation of the spatiotemporal evolution of aerosols and trace gases. The underlying meteorological model is the new nonhydrostatic model system ICON (ICOsahedral Nonhydrostatic) which allows a local grid refinement with two-way interactions between the grids. We develop the extension ART (Aerosol and Reactive Trace gases) with the goal of simulating interactions between trace substances and the state of the atmosphere. Within this paper, we present the basic equations and give an overview of the physical parameterizations as well as numerical methods we use.First applications of the new model system for trace gases, monodisperse particles and polydisperse particles are shown. The simulated distribution of two very short-lived substances (VSLS), bromoform (CHBr 3 ) and dibromomethane (CH 2 Br 2 ) reflecting the fast upward transport shows a good agreement with observations and previous model studies. Also, the shape of the simulated tropical profiles is well reproduced. As an example for the treatment of monodisperse particles we present the simulated ash plume of the Eyjafjallajökull eruption in April 2010. Here, a novel approach for the source function is applied. The pattern of the simulated distribution of volcanic ash particles shows a good agreement with previous studies. As an example for the treatment of a polydisperse aerosol, where number densities and mass concentrations are accounted for, we simulated the annual emissions of sea salt. We obtain a total emission flux of 26.0 Pg yr −1 and an emission flux of particles with diameter less than 10 µm of 7.36 Pg yr −1 .

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Section: Tracer Transportmentioning

confidence: 99%

ICON–ART 1.0 – a new online-coupled model system from the global to regional scale

et al. 2015

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“…Nonetheless, the incremental remap/semi‐Lagrangian scheme of is one approach that has been shown to be largely successful at tackling the advection problem. More recently, the Conservative Semi‐LAgrangian Multi‐tracer (CSLAM) scheme has been proposed by , followed by the flux‐form formulation of , and the simplified flux‐form formulation of . CSLAM has been demonstrated to be very effective at accurately solving the advection equation on the cubed‐sphere and is in the process of being implemented in the spectral element dynamical core of the National Center for Atmospheric Research Community Atmosphere Model .…”

Section: Introductionmentioning

confidence: 99%

Some considerations for high‐order ‘incremental remap’‐based transport schemes: edges, reconstructions, and area integration

Ullrich

Lauritzen

Jablonowski

2012

Numerical Methods in Fluids

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SUMMARYThe problem of two‐dimensional tracer advection on the sphere is extremely important in modeling of geophysical fluids and has been tackled using a variety of approaches. A class of popular approaches for tracer advection include ‘incremental remap’ or cell‐integrated semi‐Lagrangian‐type schemes. These schemes achieve high‐order accuracy without the need for multistage integration in time, are capable of large time steps, and tend to be more efficient than other high‐order transport schemes when applied to a large number of tracers over a single velocity field.In this paper, the simplified flux‐form implementation of the Conservative Semi‐LAgrangian Multi‐tracer scheme (CSLAM) is reformulated using quadratic curves to approximate the upstream flux volumes and Gaussian quadrature for integrating the edge flux. The high‐order treatment of edge fluxes is motivated because of poor accuracy of the CSLAM scheme in the presence of strong nonlinear shear, such as one might observe in the midlatitudes near an atmospheric jet. Without the quadratic treatment of upstream edges, we observe at most second‐order accuracy under convergence of grid resolution, which is returned to third‐order accuracy under the improved treatment. A shallow‐water barotropic instability also reveals clear evidence of grid imprinting without the quadratic correction. Consequently, these tests reveal a problem that might arise in tracer transport near nonlinearly sheared regions of the real atmosphere, particularly near cubed‐sphere panel edges. Although CSLAM is used as the foundation for this analysis, the conclusions of this paper are applicable to the general class of incremental remap schemes. Copyright © 2012 John Wiley & Sons, Ltd.

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“…Tracers in ICON are transported by solving the continuity equation of mass for each tracer discretised with a timesplit method: finite volume method is used in the vertical, whereas a simplified flux-form semi-Lagrangian method is used for horizontal transport (Miura, 2007;Lauritzen et al, 2011;Rieger et al, 2015).…”

Section: The Icon Modelmentioning

confidence: 99%

“…To consider the vegetation type we use the external plant functional type (PFT) data set provided by CCSM (Lawrence and Chase, 2007) for 2005 with a grid mesh size of 0.05 • . This PFT data set follows the vegetation class definition of Guenther et al (2012).…”

Section: Online Biogenic Emissions: Megan21mentioning

confidence: 99%

An emission module for ICON-ART 2.0: implementation and simulations of acetone

et al. 2017

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Abstract. We present a recently developed emission module for the ICON (ICOsahedral Non-hydrostatic)-ART (Aerosols and Reactive Trace gases) modelling framework. The emission module processes external flux data sets and increments the tracer volume mixing ratios in the boundary layer accordingly.The performance of the emission module is illustrated with simulations of acetone, using a simplified chemical depletion mechanism based on a reaction with OH and photolysis only. In our model setup, we calculate a tropospheric acetone lifetime of 33 days, which is in good agreement with the literature. We compare our results with ground-based as well as with airborne IAGOS-CARIBIC measurements in the upper troposphere and lowermost stratosphere (UTLS) in terms of phase and amplitude of the annual cycle. In all our ICON-ART simulations the general seasonal variability is well represented but uncertainties remain concerning the magnitude of the acetone mixing ratio in the UTLS region.In addition, the module for online calculations of biogenic emissions (MEGAN2.1) is implemented in ICON-ART and can replace the offline biogenic emission data sets. In a sensitivity study we show how different parametrisations of the leaf area index (LAI) change the emission fluxes calculated by MEGAN2.1 and demonstrate the importance of an adequate treatment of the LAI within MEGAN2.1.We conclude that the emission module performs well with offline and online emission fluxes and allows the simulation of the annual cycles of emissions-dominated substances.

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On simplifying ‘incremental remap’–based transport schemes

Cited by 19 publications

References 15 publications

ICON–ART 1.0 – a new online-coupled model system from the global to regional scale

ICON–ART 1.0 – a new online-coupled model system from the global to regional scale

Some considerations for high‐order ‘incremental remap’‐based transport schemes: edges, reconstructions, and area integration

An emission module for ICON-ART 2.0: implementation and simulations of acetone

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