An all-scale anelastic model for geophysical flows: dynamic grid deformation

Prusa, Joseph M.; Smolarkiewicz, Piotr K.

doi:10.1016/s0021-9991(03)00299-7

Cited by 86 publications

(215 citation statements)

References 39 publications

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“…Because flow across the poles is insignificant in the test cases considered, the boundaries are set at ±80 • latitude to enhance the efficacy of the computations. The EULAG model employs a time-dependent curvilinear framework using a generalized Gal-Chen coordinate (Prusa and Smolarkiewicz, 2003;Wedi and Smolarkiewicz, 2004;Smolarkiewicz and Prusa, 2005). The governing equations (8) are integrated numerically in the transformed space using a second-order accurate, optionally semi-Lagrangian or Eulerian, nonoscillatory forward-in-time (NFT) approach that is broadly documented in the literature; see Prusa et al (2008) for a recent summary.…”

Section: Eulerian-lagrangian Modelling System (Eulag)mentioning

confidence: 99%

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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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Section: Eulerian-lagrangian Modelling System (Eulag)mentioning

confidence: 99%

“…Prusa and Smolarkiewicz, 2003, Appendix A) which is solved iteratively using the preconditioned generalized conjugateresidual approach -a nonsymmetric Krylov-subspace solver (Smolarkiewicz and Margolin, 2000).…”

Section: Eulerian-lagrangian Modelling System (Eulag)mentioning

confidence: 99%

A framework for testing global non‐hydrostatic models

Wedi

Smolarkiewicz

2009

Quart J Royal Meteoro Soc

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“…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. To mitigate limitations of rigid connectivity and extend the range of structured-grid model applications, the key methodologies of the NFT model were generalized to unstructured meshes.…”

Section: Introductionmentioning

confidence: 99%

An unstructured-mesh atmospheric model for nonhydrostatic dynamics

Smolarkiewicz

Szmelter

Wyszogrodzki

2013

Journal of Computational Physics

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“…It is inverted algebraically to construct expressions for the velocity components which are then substituted into the mass continuity equation, producing an elliptic equation for the pressure perturbation. Details of this projection appear in the appendix of Prusa and Smolarkiewicz (2003). The elliptic problem is solved using a preconditioned, nonsymmetric Krylov solver (Smolarkiewicz et al 1997).…”

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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An all-scale anelastic model for geophysical flows: dynamic grid deformation

Cited by 86 publications

References 39 publications

A framework for testing global non‐hydrostatic models

A framework for testing global non‐hydrostatic models

An unstructured-mesh atmospheric model for nonhydrostatic dynamics

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

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