An Evaluation of Eulerian and Semi-Lagrangian Advection Schemes in Simulations of Rotating, Stratified Flows in the Laboratory. Part I: Axisymmetric Flow

Read, P. L.; Thomas, N. P. J.; Risch, S. H.

doi:10.1175/1520-0493(2000)128<2835:aeoeas>2.0.co;2

Cited by 19 publications

(19 citation statements)

References 35 publications

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“…Office/Oxford Rotating Annulus Laboratory Simulation (MORALS) [5,40,41]. This is a direct numerical simulation code which employs a finite difference scheme using a leapfrog method with Robert-Asselin filter for the integration.…”

Section: The Numerical Modelmentioning

confidence: 99%

Regimes of Axisymmetric Flow and Scaling Laws in a Rotating Annulus with Local Convective Forcing

Wright

Scolan

et al. 2017

Fluids

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Abstract:We present a numerical study of axisymmetric flow in a rotating annulus in which local thermal forcing, via a heated annular ring on the outside of the base and a cooled circular disk in the centre of the top surface, drives convection. This new configuration is a variant of the classical thermally-driven annulus, where uniform heating and cooling are applied through the outer and inner sidewalls respectively. The annulus provides an analogue to a planetary circulation and the new configuration, with its more relaxed vertical thermal boundary conditions, is expected to better emulate vigorous convection in the tropics and polar regions as well as baroclinic instability in the mid-latitude baroclinic zone. Using the Met Office/Oxford Rotating Annulus Laboratory (MORALS) code, we have investigated a series of equilibrated, two dimensional axisymmetric flows across a large region of parameter space. These are characterized in terms of their velocity and temperature fields. When rotation is applied several distinct flow regimes may be identified for different rotation rates and strengths of differential heating. These regimes are defined as a function of the ratio of the horizontal Ekman layer thickness to the non-rotating thermal boundary layer thickness and are found to be similar to those identified in previous annulus experiments. Convection without rotation is also considered and the scaling of the heat transport with Rayleigh number is calculated. This is then compared with existing work on the classical annulus as well as horizontal and Rayleigh-Bénard convection. As with previous studies on both rotating and non-rotating convection the system's behaviour is found to be aspect ratio dependent. This dependence is seen in the scaling of the non-rotating Nusselt number and in transitions between regimes in the rotating case although further investigation is required to fully explain these observations.

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Section: The Numerical Modelmentioning

confidence: 99%

Regimes of Axisymmetric Flow and Scaling Laws in a Rotating Annulus with Local Convective Forcing

Wright

Scolan

et al. 2017

Fluids

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“…We use the Met Office/Oxford Rotating Annulus Laboratory Simulation (MORALS) code (Farnell and Plumb, 1976;Hignett et al, 1985;Read et al, 2000) 1 , which is wellestablished as a comprehensive and quantitatively accurate model for dynamical behaviour in the rotating annulus, at least in regular and weakly vacillating regimes . It solves the Navier-Stokes, mass continuity, and heat transfer equations along with a Poisson equation for pressure, and equations of state for density, viscosity and thermal diffusivity ( tion for a cylindrical fluid annulus rotating at angular velocity .…”

Section: The Simulationmentioning

confidence: 99%

Breeding and predictability in the baroclinic rotating annulus using a perfect model

Young

Read

2008

Nonlin. Processes Geophys.

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Abstract. We present results from a computational study of predictability in fully-developed baroclinically unstable laboratory flows. This behaviour is studied in the Met Office/Oxford Rotating Annulus Laboratory Simulationa model of the classic rotating annulus laboratory experiment with differentially heated cylindrical sidewalls, which is firmly established as an insightful laboratory analogue for certain kinds of atmospheric dynamical behaviour. This work is the first study of "predictability of the first kind" in the annulus experiment. We devise an ensemble prediction scheme using the breeding method to study the predictability of the annulus in the perfect model scenario. This scenario allows one simulation to be defined as the true state, against which all forecasts are measured. We present results from forecasts over a range of quasi-periodic and chaotic annulus flow regimes. A number of statistical and meteorological techniques are used to compare the predictability of these flows: bred vector growth rate and dimension, error variance, "spaghetti plots", probability forecasts, Brier score, and the Kolmogorov-Smirnov test. These techniques gauge both the predictability of the flow and the performance of the ensemble relative to a forecast using a climatological distribution. It is found that in the perfect model scenario, the two quasiperiodic regimes examined may be indefinitely predictable. The two chaotic regimes (structural vacillation and period doubled amplitude vacillation) show a loss of predictability on a timescale of hundreds to thousands of seconds (65-280 annulus rotation periods, or 1-3 Lyapunov times).

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“…Read et al [20] use the annulus to study how well numerical transport schemes compare to real observations and report that Eulerian schemes, such as used in this paper, have skill. In more recent work Read [18] combines numerical studies with laboratory experiments in the study of heat transport and effort has been afoot to study prediction and predictability problems using the laboratory setting [25,26,16,17].…”

Section: Introductionmentioning

confidence: 99%

“…It is a robust experiment, easily conducted in the laboratory. It has been used to study a variety of physical phenomena including geostrophic turbulence [14], convection [8], baroclinic instability [9,23,18], and chaos [19,10], and as a test-bed for evaluating the utility of numerical models [20,6].…”

Section: Introductionmentioning

confidence: 99%

A realtime observatory for laboratory simulation of planetary flows

et al. 2009

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An Evaluation of Eulerian and Semi-Lagrangian Advection Schemes in Simulations of Rotating, Stratified Flows in the Laboratory. Part I: Axisymmetric Flow

Cited by 19 publications

References 35 publications

Regimes of Axisymmetric Flow and Scaling Laws in a Rotating Annulus with Local Convective Forcing

Regimes of Axisymmetric Flow and Scaling Laws in a Rotating Annulus with Local Convective Forcing

Breeding and predictability in the baroclinic rotating annulus using a perfect model

A realtime observatory for laboratory simulation of planetary flows

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