Physics-Based Stabilization of Spectral Elements for the 3D Euler Equations of Moist Atmospheric Convection

Marras, Simone; Müller, Andreas; Giraldo, Francis X.

doi:10.1007/978-3-319-19800-2_32

Cited by 1 publication

(3 citation statements)

References 22 publications

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“…18, where also the results obtained using a constant coe cient Lilly-Smagorinsky model [201; 274] are given for comparison. Putting together the moist problem briefly described in Section 2.4 and the current LES-based stabilization, the simulation of a fully three-dimensional deep convection problem is reported in [215]; in Fig. 19, we reproduce Fig.…”

Section: Remark 41supporting

confidence: 48%

“…Due to its stabilizing properties, this method was easily adapted to the solution of low Mach number atmospheric flows via high order spectral elements in [215] and [216]. Like VMS, this method is a residual-based alternative to the more classical artificial di usion in a way that not only is numerically consistent, but could also serve as a turbulence model.…”

Section: Physics-based Stabilizationmentioning

confidence: 99%

“…the Atmosphere (NUMA). From [214]. The Maya R •computer graphics software was used for the photo-realistic rendering of the simulation (for more details see http : //anmr.de/cloudwithmaya).…”

Section: Trends In High Performance Computingmentioning

confidence: 99%

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A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin

Marras

Kelly²,

Moragues

et al. 2015

Arch Computat Methods Eng

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Numerical Weather Prediction (NWP) is in a period of transition. As resolutions increase, global models are moving towards fully nonhydrostatic dynamical cores, with the local and global models using the same governing equations; therefore we have reached a point where it will be necessary to use a single model for both applications. The new dynamical cores at the heart of these unified models are designed to scale e ciently on clusters with hundreds of thousands or even millions of CPU cores and GPUs. Operational and research NWP codes currently use a wide range of numerical methods: finite di erences, spectral transform, finite volumes and, increasingly, finite/spectral elements and discontinuous Galerkin, which constitute element-based Galerkin (EBG) methods. Due to their important role in this transition, will EBGs be the dominant power behind NWP in the next 10 years, or will they just be one of many methods to choose from? One decade after the review of numerical methods for atmospheric modeling by Steppeler et al. (2003) [Review of numerical methods for nonhydrostatic weather prediction models Meteorol. Atmos. Phys. 82, 2003], this review discusses EBG methods as a viable numerical approach for the next-generation NWP models. One well-known weakness of EBG methods is the generation of unphysical oscillations in advection-dominated flows; special attention is hence devoted to dissipation-based stabilization methods. Since EBGs are geometrically flexible and allow both conforming and non-conforming meshes, as well as grid adaptivity, this review is concluded with a short overview of how mesh generation and dynamic mesh refinement are becoming as important for atmospheric modeling as they have been for engineering applications for many years.

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Section: Remark 41supporting

confidence: 48%

Section: Physics-based Stabilizationmentioning

confidence: 99%