A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: Application to the simulation of 3D squall lines using spectral elements

Marras, Simone; Giraldo, Francis X.

doi:10.1016/j.jcp.2014.11.046

Cited by 7 publications

(3 citation statements)

References 23 publications

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“…Indeed, the Δ x = 200, 150 m simulations give a smaller amount of accumulated rain in the domain center and slightly larger peaks downwind and away from the center, reflecting the availability of more moisture for the secondary convective tower. Once again, we observe a decrease in precipitation with increasing resolution as expected (Gaberšek et al., 2012; Marras & Giraldo, 2015; Marras et al., 2013a; Weisman et al., 1997).…”

Section: Resultssupporting

confidence: 87%

A Non‐Column Based, Fully Unstructured Implementation of Kessler's Microphysics With Warm Rain Using Continuous and Discontinuous Spectral Elements

Tissaoui

Marras

Quaini

et al. 2023

J Adv Model Earth Syst

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Section: Resultssupporting

confidence: 87%

A Non‐Column Based, Fully Unstructured Implementation of Kessler's Microphysics With Warm Rain Using Continuous and Discontinuous Spectral Elements

Tissaoui

Marras

Quaini

et al. 2023

J Adv Model Earth Syst

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“…Indeed, the ∆x = 200, 150 m simulations give a smaller amount of accumulated rain in the domain center and slightly larger peaks downwind and away from the center, reflecting the availability of more moisture for the secondary convective tower. Once again, we observe a decrease in precipitation with increasing resolution as expected [37,51,52,53]. We conclude by reporting the maximum vertical velocity obtained over the course of the CG and DG simulation as a function of the resolution in Fig.…”

Section: 5d Squall Linesupporting

confidence: 75%

A non column based fully unstructured implementation of Kessler s microphysics with warm rain using continuous and discontinuous spectral elements

Tissaoui¹,

Marras²,

Quaini³

et al. 2022

Preprint

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“…To overcome this issue, a controlled crosswind discontinuity capturing can be added to the principal stabilization scheme. For example, the method introduced in [55] was successfully adapted to highorder spectral elements in [210] for standard 2D test cases and, more recently, by [209] to support positivity in the solution of fully 3D cloud simulations. For comparison, we reproduce Fig.…”

Section: Preserving Positivitymentioning

confidence: 99%

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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A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: Application to the simulation of 3D squall lines using spectral elements

Cited by 7 publications

References 23 publications

A Non‐Column Based, Fully Unstructured Implementation of Kessler's Microphysics With Warm Rain Using Continuous and Discontinuous Spectral Elements

A Non‐Column Based, Fully Unstructured Implementation of Kessler's Microphysics With Warm Rain Using Continuous and Discontinuous Spectral Elements

A non column based fully unstructured implementation of Kessler s microphysics with warm rain using continuous and discontinuous spectral elements

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

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