A finite–difference scheme for three–dimensional incompressible flows in spherical coordinates

Santelli, Luca; Orlandi, P.; Verzicco, Roberto

doi:10.1016/j.jcp.2020.109848

Cited by 11 publications

(10 citation statements)

References 48 publications

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“…The governing equations and are discretized by a staggered central second-order finite-difference scheme in spherical coordinates. The numerical scheme is based on the method by Verzicco & Orlandi (1996), which has been extended recently to spherical coordinates by Santelli, Orlandi & Verzicco (2021). The advantage of this scheme is that it allows arbitrary non-uniform grids in the radial and co-latitudinal directions.…”

Section: Numerical Methods and Parametersmentioning

confidence: 99%

Off-centre gravity induces large-scale flow patterns in spherical Rayleigh–Bénard convection

et al. 2022

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We perform direct numerical simulations to study the effect of the gravity centre offset in spherical Rayleigh–Bénard convection. When the gravity centre is shifted towards the south, we find that the shift of the gravity centre has a pronounced influence on the flow structures. At low Rayleigh number $Ra$ , a steady-state large-scale meridional circulation induced by the baroclinic imbalance, created by the misalignment of the gravity potentials and isotherms, is formed. At high $Ra$ , an energetic jet is created on the northern side of the inner sphere that is directed towards the outer sphere. The large-scale circulation induces a strong co-latitudinal dependence in the local heat flux. Nevertheless, the global heat flux is not affected by the changes in the large-scale flow organization induced by the gravity centre offset.

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Section: Numerical Methods and Parametersmentioning

confidence: 99%

Off-centre gravity induces large-scale flow patterns in spherical Rayleigh–Bénard convection

et al. 2022

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“…, which is considered an Earth-like configuration used by Long et al (2020) and Yadav et al (2016). The equations are discretized by a staggered central second-order finite-difference scheme in spherical coordinates (Santelli et al, 2020). We use a uniform grid in the longitudinal and co-latitudinal directions and ensure that the bulk and boundary layers are appropriately resolved (Stevens, Verzicco, & Lohse, 2010).…”

Section: Numerical Method Control and Response Parametersmentioning

confidence: 99%

Diffusion‐Free Scaling in Rotating Spherical Rayleigh‐Bénard Convection

Wang

Santelli

Lohse

et al. 2021

Geophysical Research Letters

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“…In this study we consider a fixed radius ratio η = r i /r o = 0.6 and the gravity profile g(r) = (r o /r) 2 valid for homogeneous mass distribution. The equations are discretized by a staggered central second-order finite-difference scheme in spherical coordinates (Santelli et al, 2020). We use a uniform grid in the longitudinal and co-latitudinal directions, and ensure that the bulk and boundary layers are appropriately resolved (Stevens, Verzicco, & Lohse, 2010).…”

Section: Numerical Method Control and Response Parametersmentioning

confidence: 99%

Diffusion-free scaling in rotating spherical Rayleigh-Bénard convection

Wang,

Santelli,

Lohse

et al. 2021

Preprint

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We show that in rotating spherical Rayleigh-Bénard convection, three regions with distinctly different flow dynamics are formed.• The mid-latitude region is characterized by convective columns that extend from the Northern to the Southern hemisphere of the outer sphere.• The diffusion-free scaling indicates that the flow dynamics and the heat transport originating in the mid-latitude region are bulk-dominated.

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A finite–difference scheme for three–dimensional incompressible flows in spherical coordinates

Cited by 11 publications

References 48 publications

Off-centre gravity induces large-scale flow patterns in spherical Rayleigh–Bénard convection

Off-centre gravity induces large-scale flow patterns in spherical Rayleigh–Bénard convection

Diffusion‐Free Scaling in Rotating Spherical Rayleigh‐Bénard Convection

Diffusion-free scaling in rotating spherical Rayleigh-Bénard convection

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