A Class of Nonhydrostatic Global Models

Smolarkiewicz, Piotr K.; Margolin, Len G.; Wyszogrodzki, Andrzej A.

doi:10.1175/1520-0469(2001)058<0349:acongm>2.0.co;2

Cited by 98 publications

(84 citation statements)

References 30 publications

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“…In general, however, resorting to alternative perturbation forms of the governing equations can simplify the design of the initial and boundary conditions as well as enhance the accuracy of calculations in finite-precision arithmetic. Useful examples of ambient states include geostrophically and thermally balanced large-scale flows [30,9] The nonoscillatory forward-in-time (NFT) algorithm employed to integrate (4) can be written in a compact functional form as…”

Section: Governing Equationsmentioning

confidence: 99%

“…This work builds on the numerical methodologies developed originally for the structured grid model [23] for simulation of atmospheric circulations with anelastic equations on scales from laboratory and wind tunnel [43,35] to global [30,9]. The structured grid model is formulated in generalized time-dependent curvilinear coordinates [22,44,31], enabling dynamic mesh adaptivity via continuous mappings [14], and employs unique, nonoscillatory forward-in-time (NFT) 1 high-resolution numerics [28,34] based on the MPDATA (for multidimensional positive definite advection transport algorithm) methods; see [34] for a recent overview and comprehensive list of references.…”

Section: Introductionmentioning

confidence: 99%

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An unstructured-mesh atmospheric model for nonhydrostatic dynamics

Smolarkiewicz

Szmelter

Wyszogrodzki

2013

Journal of Computational Physics

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Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An unstructured-mesh atmospheric model for nonhydrostatic dynamics

Smolarkiewicz

Szmelter

Wyszogrodzki

2013

Journal of Computational Physics

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“…The set-up is otherwise as described in Smolarkiewicz et al (1999Smolarkiewicz et al ( , 2001 for EULAG.…”

Section: Held-suarez Climatementioning

confidence: 99%

A framework for testing global non‐hydrostatic models

Wedi

Smolarkiewicz

2009

Quart J Royal Meteoro Soc

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ABSTRACT:With the emergence of non-hydrostatic global dynamical cores, an alternative testing strategy is proposed, where the planetary radius is suitably reduced to capture non-hydrostatic phenomena without incurring the computational cost of actual simulations of weather and climate at non-hydrostatic resolution. The procedure is simple and tests various aspects of the discretized hydrostatic and non-hydrostatic equations in the same setting on a sphere. Furthermore, it facilitates verification against Cartesian-domain analytic solutions and against large-eddy simulation (LES) benchmarks available for limited-area models. The proposed framework is illustrated with examples of inertia-gravity wave dynamics in linear and nonlinear regimes, including flows past idealized mountains, stratified shear flows and critical layers. Finally, an intercomparison of the Held-Suarez climate variability for reduced-size planets is presented, which provides a path for future investigations on the dynamics of convective boundary layers on a sphere. This assesses the ability to adequately capture interactions of large-scale dynamics with intermittent turbulent structures, an important aspect of future weather and climate predictions.

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“…Requisite wavelengths and environmental properties are set by Table 1 (1) is in error by 0.35% for intrinsic frequency and phase speeds; and by 0.37% and 1.09% for intrinsic horizontal and vertical group velocities, respectively. This "equation set" error is minor and is likely overwhelmed by numerical modeling error (Smolarkiewicz et al 2001). Further comparison with the results of our dispersion equation (1) indicates that explicitly dropping the Coriolis effect incurs an error of 1.0%.…”

Section: Remarksmentioning

confidence: 72%

“…Transporting the auxiliary variable rather than the field variable alone has significant benefits for computational accuracy and stability (Smolarkiewicz et al 2001, Smolarkiewicz andPrusa 2002). The resulting numerical equations represent a system semi-implicit with respect to potential temperature and the wind field.…”

Section: Model Highlightsmentioning

confidence: 99%

Multi-scale waves in sound-proof global simulations with EULAG

Prusa¹,

Gutowski

2011

Acta Geophys.

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A b s t r a c t EULAG is a computational model for simulating flows across a wide range of scales and physical scenarios. A standard option employs an anelastic approximation to capture nonhydrostatic effects and simultaneously filter sound waves from the solution. In this study, we examine a localized gravity wave packet generated by instabilities in Held-Suarez climates. Although still simplified versus the Earth's atmosphere, a rich set of planetary wave instabilities and ensuing radiated gravity waves can arise. Wave packets are observed that have lifetimes ≤ 2 days, are negligibly impacted by Coriolis force, and do not show the rotational effects of differential jet advection typical of inertia-gravity waves. Linear modal analysis shows that wavelength, period, and phase speed fit the dispersion equation to within a mean difference of ∼ 4%, suggesting an excellent fit. However, the group velocities match poorly even though a propagation of uncertainty analysis indicates that they should be predicted as well as the phase velocities. Theoretical arguments suggest the discrepancy is due to nonlinearity -a strong southerly flow leads to a critical surface forming to the southwest of the wave packet that prevents the expected propagation.

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A Class of Nonhydrostatic Global Models

Cited by 98 publications

References 30 publications

An unstructured-mesh atmospheric model for nonhydrostatic dynamics

An unstructured-mesh atmospheric model for nonhydrostatic dynamics

A framework for testing global non‐hydrostatic models

Multi-scale waves in sound-proof global simulations with EULAG

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