Conservation of Mass and Energy for the Moist Atmospheric Primitive Equations on Unstructured Grids

Taylor, Mark A.

doi:10.1007/978-3-642-11640-7_12

Cited by 41 publications

(42 citation statements)

References 39 publications

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“…Storms are also generally restricted based on their genesis location, allowing for individual ocean basins to be easily isolated for regional studies, provided any nonlocal TC genesis precursor features remain adequately resolved in unrefined regions of the mesh (such as North Atlantic tropical waves and El Nino-Southern Oscillation (ENSO) teleconnections in Zarzycki and Jablonowski (2014) and ). Recently, a variable-resolution option (Zarzycki et al 2014b) has been implemented into the SE dynamical core of CAM5 (Dennis et al 2012a;Taylor et al 1997;Taylor 2011), allowing for regionally refined simulations using the same framework as the uniform simulations discussed above. An example of tracked tropical cyclones from Zarzycki and Jablonowski (2014) is shown in Fig.…”

Section: Variable-resolution Global Modelingmentioning

confidence: 99%

High-Resolution Multi-decadal Simulation of Tropical Cyclones

Wehner

Reed

Zarzycki

2017

Hurricanes and Climate Change

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Recent advances in high-performance computing technologies are enabling multiple climate modeling groups to perform global multi-decadal simulations at tropical cyclone-permitting resolutions. This chapter discusses the developing state of the art of such high-resolution modeling. These global atmospheric models, with horizontal resolutions in the 10-50 km range, simulate strong gradients in temperature and moisture far more realistically than contemporary mainstream climate models at coarser resolution. With these models, simulated tropical cyclones exhibit a surprising degree of realism in terms of both the physical characteristics of individual storms and their long-term statistical behavior. Experience with the Community Atmospheric Model version 5 is used as an example to demonstrate the strengths and weaknesses of this new class of climate models.

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Section: Variable-resolution Global Modelingmentioning

confidence: 99%

High-Resolution Multi-decadal Simulation of Tropical Cyclones

Wehner

Reed

Zarzycki

2017

Hurricanes and Climate Change

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“…The main motivation for the inclusion of HOMME is to improve the scalability of the CAM by introducing quasi-uniform grids, which require no polar filters (Taylor et al, 2008). HOMME is the first dynamical core in CAM, which locally conserves energy in addition to mass and two-dimensional potential vorticity (Taylor, 2010). HOMME represents a large change in the horizontal grid as compared to the other dynamical cores in CAM.…”

Section: Model and Simulation Detailsmentioning

confidence: 99%

“…Scalable performance is necessary to efficiently exploit the massively-parallel petascale systems that will dominate high-performance computing for the foreseeable future (Nair and Tufo, 2007;Taylor et al, 2008;Nair et al, 2009). The High Order Method Modeling Environment (HOMME) is a framework developed at NCAR (Dennis et al, 2005;Taylor et al, 2007Taylor et al, , 2008Taylor, 2010) to investigate using high-order element-based methods to build scalable, accurate and conservative atmospheric general circulation models (AGCM). The primary object of HOMME project is to provide the atmospheric science community a framework for building the next generation of AGCMs based on high-order numerical methods that efficiently scale to hundred-of-thousands of processors, achieve scientifically useful integration rates, provide monotonic and mass conserving transport of multiple species, and can easily be coupled to community physics packages (Taylor, 2010).…”

Section: Introductionmentioning

confidence: 99%

Performance of the HOMME dynamical core in the aqua-planet configuration of NCAR CAM4: equatorial waves

et al. 2011

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Abstract.A new atmospheric dynamical core, named the High Order Method Modeling Environment (HOMME), has been recently included in the NCAR-Community Climate System Model version 4 (CCSM4). It is a petascale capable high-order element-based conservative dynamical core developed on a cubed-sphere grid. We have examined the model simulations with HOMME using the aqua-planet mode of CAM4 (atmospheric component of CCSM4) and evaluated its performance in simulating the equatorial waves, considered a crucial element of climate variability. For this we compared the results with two other established models in CAM4 framework, which are the finite-volume (FV) and Eulerian spectral (EUL) dynamical cores. Although the gross features seem to be comparable, important differences have been found among the three dynamical cores. The phase speed of Kelvin waves in HOMME is faster and more satisfactory than those in FV and EUL. The higher phase speed is attributed to an increased large-scale precipitation in the upper troposphere and a more top-heavy heating structure. The variance of the n = 1 equatorial Rossby waves is underestimated by all three of them, but comparatively HOMME simulations are more reasonable. For the n = 0 eastward inertiogravity waves, the variances are weak and phase speeds are too slow, scaled to shallow equivalent depths. However, the variance in HOMME is relatively more compared to the two other dynamical cores. The mixed Rossby-gravity waves are feeble in all the three cases. In summary, model simulations using HOMME are reasonably good, with some improvement relative to FV and EUL in capturing some of the important characteristics associated with equatorial waves.

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“…It is true that the instantaneous picture is much more complex, where bursts of dissipation may be followed by larger periods of conservation. But overall, the average dissipation rate over sufficiently large time intervals can be expected to fall not far from the 0:6 W m 22 estimate of Taylor (2011).…”

mentioning

confidence: 90%

“…The relative changes are well within the range of values seen in that test case. Second, another possible point of comparison is the 0:6 W m 22 estimate given in Taylor (2011) for the dissipation rate of kinetic energy, which is the main contributing factor to energy dissipation in aquaplanet FIG. 7.…”

mentioning

confidence: 99%

Toward a PV-Based Algorithm for the Dynamical Core of Hydrostatic Global Models

Mohebalhojeh

Joghataei

Dritschel

2016

Monthly Weather Review

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The diabatic contour-advective semi-Lagrangian (DCASL) algorithms previously constructed for the shallow-water and multilayer Boussinesq primitive equations are extended to multilayer non-Boussinesq equations on the sphere using a hybrid terrain-following-isentropic (s-u) vertical coordinate. It is shown that the DCASL algorithms face challenges beyond more conventional algorithms in that various types of damping, filtering, and regularization are required for computational stability, and the nonlinearity of the hydrostatic equation in the s-u coordinate causes convergence problems with setting up a semi-implicit timestepping scheme to reduce computational cost. The prognostic variables are an approximation to the RossbyErtel potential vorticity Q, a scaled pressure thickness, the horizontal divergence, and the surface potential temperature. Results from the DCASL algorithm in two formulations of the s-u coordinate, differing only in the rate at which the vertical coordinate tends to u with increasing height, are assessed using the baroclinic instability test case introduced by Jablonowski and Williamson in 2006. The assessment is based on comparisons with available reference solutions as well as results from two other algorithms derived from the DCASL algorithm: one with a semi-Lagrangian solution for Q and another with an Eulerian grid-based solution procedure with relative vorticity replacing Q as the prognostic variable. It is shown that at intermediate resolutions, results comparable to the reference solutions can be obtained.

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Conservation of Mass and Energy for the Moist Atmospheric Primitive Equations on Unstructured Grids

Cited by 41 publications

References 39 publications

High-Resolution Multi-decadal Simulation of Tropical Cyclones

High-Resolution Multi-decadal Simulation of Tropical Cyclones

Performance of the HOMME dynamical core in the aqua-planet configuration of NCAR CAM4: equatorial waves

Toward a PV-Based Algorithm for the Dynamical Core of Hydrostatic Global Models

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