Pores resolving simulation of Darcy flows

Smolarkiewicz, Piotr K.; Winter, Christian

doi:10.1016/j.jcp.2009.12.031

Cited by 47 publications

(47 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, extending (11) to admit the Rayleigh friction (with an inverse time scale of attenuation α) and the Newtonian cooling (with a corresponding inverse time scale α ′ ) -useful for mitigating wave reflection from rigid boundaries (Davies, 1983;Kosloff and Kosloff, 1986) or for simulating solid bodies immersed in the flow Smolarkiewicz and Winter, 2010) -…”

Section: Boundary Value Problemsmentioning

confidence: 99%

A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves

Smolarkiewicz

Szmelter

2011

Acta Geophys.

Self Cite

View full text Add to dashboard Cite

Citation: SMOLARKIEWICZ, P.K. and SZMELTER, J., 2011. A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves. Acta Geophysica, 59 (6), pp. 1109 -1134 Additional Information:• This article was published in the journal, Acta Geophysica [Versita / AbstractA semi-implicit edge-based unstructured-mesh model is developed that integrates nonhydrostatic soundproof equations, inclusive of anelastic and pseudo-incompressible systems of partial differential equations. The model builds on nonoscillatory forwardin-time MPDATA approach using finite-volume discretization and unstructured meshes with arbitrarily shaped cells. Implicit treatment of gravity waves benefits both accuracy and stability of the model. The unstructured-mesh solutions are compared to equivalent structured-grid results in simulations of an intricate multiscale internal wave phenomenon of a non-Boussinesq amplification and breaking of deep stratospheric gravity waves. The departures of the anelastic and pseudo-incompressible results are quantified in reference to a recent asymptotic theory

show abstract

Section: Boundary Value Problemsmentioning

confidence: 99%

A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves

Smolarkiewicz

Szmelter

2011

Acta Geophys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In analogy to theoretical formulation for the microscopic fluid flows in porous media (Smolarkiewicz & Winter 2010), Andrzej Wyszogrodzki and Piotr Smolarkiewicz performed a series of numerical simulations of urban boundary layer flows through realistic street-level building structures of the Oklahoma City downtown area. The corresponding numerical solutions relate the morphology of the real building structures to topological and geometrical properties of the physical media.…”

Section: Large-eddy Simulation Of Urban Flows: Porous-media Analogymentioning

confidence: 99%

Collaborative Research: Continuous Dynamic Grid Adaptation in a Global Atmospheric Model: Application and Refinement

Prusa¹

2012

View full text Add to dashboard Cite

AUTORIZED DISTRIBUTION LIMITATIONS NOTICESN.A. EXECUTIVE SUMMARYThis project had goals of advancing the performance capabilities of the numerical general circulation model EULAG and using it to produce a fully operational atmospheric global climate model (AGCM) that can employ either static or dynamic grid stretching for targeted phenomena. The resulting AGCM combined EULAG's advanced dynamics core with the "physics" of the NCAR Community Atmospheric Model (CAM). Effort discussed below shows how we improved model performance and tested both EULAG and the coupled CAM-EULAG in several ways to demonstrate the grid stretching and ability to simulate very well a wide range of scales, that is, multi-scale capability. We leveraged our effort through interaction with an international EULAG community that has collectively developed new features and applications of EULAG, which we exploited for our own work summarized here. Overall, the work contributed to over 40 peerreviewed publications and over 70 conference/workshop/seminar presentations, many of them invited. 3a. EULAG AdvancesEULAG is a non-hydrostatic, parallel computational model for all-scale geophysical flows. EULAG's name derives from its two computational options: EULerian (flux form) or semi-LAGrangian (advective form). The model combines nonoscillatory forward-in-time (NFT) numerical algorithms with a robust elliptic Krylov solver. A signature feature of EULAG is that it is formulated in generalized timedependent curvilinear coordinates. In particular, this enables grid adaptivity. In total, these features give EULAG novel advantages over many existing dynamical cores.For EULAG itself, numerical advances included refining boundary conditions and filters for optimizing model performance in polar regions. We also added flexibility to the model's underlying formulation, allowing it to work with the pseudo-compressible

show abstract

“…The damping time for the polar absorber was 60 s (damping time less than ∆t is possible due to the implicit treatment of absorbers). This is so short that the one node polar absorber effectively becomes a boundary condition in the spirit of immersed boundary methods (Smolarkiewicz and Winter 2010). The anelastic default configuration of EULAG requires a hydrostatic basic state.…”

Section: Computational Setupmentioning

confidence: 99%

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

Prusa¹,

Gutowski

2011

Acta Geophys.

View full text Add to dashboard Cite

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.

show abstract

Pores resolving simulation of Darcy flows

Cited by 47 publications

References 39 publications

A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves

A nonhydrostatic unstructured-mesh soundproof model for simulation of internal gravity waves

Collaborative Research: Continuous Dynamic Grid Adaptation in a Global Atmospheric Model: Application and Refinement

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

Contact Info

Product

Resources

About