Selective monotonicity preservation in scalar advection

Blossey, Peter N.; Durran, Dale R.

doi:10.1016/j.jcp.2008.01.043

Cited by 75 publications

(96 citation statements)

References 31 publications

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“…This model features among others an anelastic core, fifth-order hybrid weighted essentially nonoscillatory advection (Jiang and Shu, 1996;Blossey and Durran, 2008), the RRTMG scheme for radiation (Iacono et al, 2008), bulk microphysics (Kogan, 2013) and subgrid-scale turbulence following Deardorff (1980). The model version and settings are identical to those used by .…”

Section: Model Detailsmentioning

confidence: 99%

How large-scale subsidence affects stratocumulus transitions

2016

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Abstract. Some climate modeling results suggest that the Hadley circulation might weaken in a future climate, causing a subsequent reduction in the large-scale subsidence velocity in the subtropics. In this study we analyze the cloud liquid water path (LWP) budget from large-eddy simulation (LES) results of three idealized stratocumulus transition cases, each with a different subsidence rate. As shown in previous studies a reduced subsidence is found to lead to a deeper stratocumulus-topped boundary layer, an enhanced cloud-top entrainment rate and a delay in the transition of stratocumulus clouds into shallow cumulus clouds during its equatorwards advection by the prevailing trade winds. The effect of a reduction of the subsidence rate can be summarized as follows. The initial deepening of the stratocumulus layer is partly counteracted by an enhanced absorption of solar radiation. After some hours the deepening of the boundary layer is accelerated by an enhancement of the entrainment rate. Because this is accompanied by a change in the cloudbase turbulent fluxes of moisture and heat, the net change in the LWP due to changes in the turbulent flux profiles is negligibly small.

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Section: Model Detailsmentioning

confidence: 99%

How large-scale subsidence affects stratocumulus transitions

2016

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“…(3) and (7) for u and p . The selective-monotonicitypreserving advection scheme developed by Blossey and Durran (2008) is used to compute the terms involving u · in Eqs. (4)-(6).…”

Section: Model Basismentioning

confidence: 99%

Cirrus and water vapor transport in the tropical tropopause layer – Part 1: A specific case modeling study

2012

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Abstract. In a simulation of a tropical-tropopause-layer (TTL) cirrus forced by a large-scale equatorial Kelvin wave, the radiatively induced mesoscale dynamics of the cloud actively contributes to the transport of water vapor in the vertical direction.In a typical TTL cirrus, the heating that results from absorption of radiation by ice crystals induces a mesoscale circulation. Advection of water vapor by the radiatively induced circulation leads to upward advection of the cloudy air. Upward advection of the cloudy air is equivalent to upward transport of water vapor when the air above the cloud is drier than the cloudy air. On the other hand, ice nucleation and depositional growth, followed by sedimentation and sublimation lead to downward transport of water vapor.Under the conditions specific to our simulation, the upward transport of water vapor by the mesoscale circulation dominates the downward transport by microphysical processes. The net result is upward transport of water vapor, which is equivalent to hydration of the lower stratosphere. Sensitivity to model conditions and parameters will be discussed in a follow-up paper.

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“…A detailed discussion of conservative SL methods can be found in [31,27]. As noted in [32], a potential weakness of this test is that the phase errors for each Fourier mode could partially cancel when the flow reverses. Nevertheless, the cancellation of errors can be avoided by choosing a different flow path (trajectory) when the flow returns after the halftime.…”

Section: Deformational Problem In Cartesian Geometrymentioning

confidence: 99%

A class of deformational flow test cases for linear transport problems on the sphere

Nair

Lauritzen

2010

Journal of Computational Physics

114

157

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a b s t r a c tA class of new benchmark deformational flow test cases for the two-dimensional horizontal linear transport problems on the sphere is proposed. The scalar field follows complex trajectories and undergoes severe deformation during the simulation; however, the flow reverses its course at half-time and the scalar field returns to its initial position and shape. This process makes the exact solution available at the end of the simulation, and facilitates assessment of the accuracy of the underlying transport scheme. A procedure to eliminate possible cancellations of errors when the flow reverses is proposed.The test suite consists of four cases. Three are based on non-divergent flow fields and one on a divergent flow. The initial conditions are prescribed in terms of regular latitude-longitude spherical coordinates and are easy to implement. The divergent flow is specifically aimed for conservative global transport schemes to test for conservation, consistency and monotonicity (or positivity) of limiters/filters in a challenging flow environment. In the context of semi-Lagrangian schemes, the time-varying flow fields can be used to test trajectory algorithms where the exact trajectories do not follow great-circle arcs. The characteristics of the test cases are demonstrated with two different transport schemes.

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Selective monotonicity preservation in scalar advection

Cited by 75 publications

References 31 publications

How large-scale subsidence affects stratocumulus transitions

How large-scale subsidence affects stratocumulus transitions

Cirrus and water vapor transport in the tropical tropopause layer – Part 1: A specific case modeling study

A class of deformational flow test cases for linear transport problems on the sphere

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