One-dimensional turbulence (ODT): Computationally efficient modeling and simulation of turbulent flows

Stephens, Victoria B.; Lignell, David O.

doi:10.1016/j.softx.2020.100641

Cited by 6 publications

(3 citation statements)

References 37 publications

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“…Code and data availability. A "minimal" version of the fully adaptive ODT implementation used for this study is publicly available at the URL https://github.com/ElsevierSoftwareX/ SOFTX-D-20-00063 (last access: 23 June 2023), which is the permanent link as published in Stephens and Lignell (2021). All reference data was published previously and is publicly available under the cited references.…”

Section: Discussionmentioning

confidence: 99%

“…The deterministic terms in Eqs. ( 1)-( 3) are spatially discretized with a finitevolume method on an adaptive grid and an efficient explicit scheme is used for temporal integration (Lignell et al, 2013;Stephens and Lignell, 2021). Eddy events denoted by E i model Navier-Stokes turbulence phenomenology along one-dimensional domain.…”

Section: Overview Of the One-dimensional Turbulence Model Formulationmentioning

confidence: 99%

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Capturing features of turbulent Ekman–Stokes boundary layers with a stochastic modeling approach

Klein

Schmidt

2023

Adv. Sci. Res.

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Abstract. Atmospheric boundary layers (ABLs) exhibit transient processes on various time scales that range from a few days down to seconds, with a scale separation of the large-scale forcing and the small-scale turbulent response. One of the standing challenges in modeling and simulation of ABLs is a physically based representation of complex multiscale boundary layer dynamics. In this study, an idealized time-dependent ABL, the so-called Ekman–Stokes boundary layer (ESBL), is considered as a simple model for the near-surface flow in the mid latitudes and polar regions. The ESBL is driven by a prescribed temporal modulation of the bulk–surface velocity difference. A stochastic one-dimensional turbulence (ODT) model is applied to the ESBL as standalone tool that aims to resolve all relevant scales of the flow along a representative vertical coordinate. It is demonstrated by comparison with reference data that ODT is able to capture relevant features of the time-dependent boundary layer flow. The model predicts a parametric enhancement of the bulk–surface coupling in the event of a boundary layer resonance when the flow is forced with the local Coriolis frequency. The latter reproduces leading order effects of the critical latitudes. The model results suggest that the bulk flow decouples from the surface for high forcing frequencies due to a relative increase in detached residual turbulence.

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Section: Discussionmentioning

confidence: 99%

Section: Overview Of the One-dimensional Turbulence Model Formulationmentioning

confidence: 99%

Capturing features of turbulent Ekman–Stokes boundary layers with a stochastic modeling approach

Klein

Schmidt

2023

Adv. Sci. Res.

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“…The physical motivation and mathematical background of the modeling approach is elaborated in Kerstein (1999); Kerstein et al (2001); Kerstein (2022). Technical details on the fully adaptive finite-volume implementation used in the present study are collected in Lignell et al (2013); Stephens and Lignell (2021).…”

Section: Modeling Approachmentioning

confidence: 99%

Exploring stratification effects in stable Ekman boundary layers using a stochastic one-dimensional turbulence model

Klein

Schmidt

2022

Adv. Sci. Res.

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Abstract. Small-scale processes in atmospheric boundary layers are typically not resolved due to cost constraints but modeled based on physical relations with the resolved scales, neglecting expensive backscatter. This lack in modeling is addressed in the present study with the aid of the one-dimensional turbulence (ODT) model. ODT is applied as stand-alone column model to numerically investigate stratification effects in long-lived transient Ekman flows as canonical example of polar boundary layers by resolving turbulent winds and fluctuating temperature profiles on all relevant scales of the flow. We first calibrate the adjustable model parameters for neutral cases based on the surface drag law which yields slightly different optimal model set-ups for finite low and moderate Reynolds numbers. For the stably stratified cases, previously calibrated parameters are kept fixed and the model predictions are compared with various reference numerical simulations and also observations by an exploitation of boundary layer similarity. ODT reasonably captures the temporally developing flow for various prescribed stratification profiles, but fails to fully capture the near-surface laminarization by remaining longer in a fully developed turbulent state, which suggests preferential applicability to high-Reynolds-number flow regimes. Nevertheless, the model suggests that large near-surface turbulence scales are primarily affected by the developing stratification due to scale-selective buoyancy damping which agrees with the literature. The variability of the wind-turning angle represented by the ensemble of stratified cases simulated covers a wider range than reference reanalysis data. The present study suggests that the vertical-column ODT formulation that is highly resolved in space and time can help to accurately represent multi-physics boundary-layer and subgrid-scale processes, offering new opportunities for analysis of very stable polar boundary layer and atmospheric chemistry applications.

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Stochastic modeling of multiple scalar mixing in a three-stream concentric coaxial jet based on one-dimensional turbulence

Klein,

Zenker,

Starick

et al. 2023

International Journal of Heat and Fluid Flow

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One-dimensional turbulence (ODT): Computationally efficient modeling and simulation of turbulent flows

Cited by 6 publications

References 37 publications

Capturing features of turbulent Ekman–Stokes boundary layers with a stochastic modeling approach

Capturing features of turbulent Ekman–Stokes boundary layers with a stochastic modeling approach

Exploring stratification effects in stable Ekman boundary layers using a stochastic one-dimensional turbulence model

Stochastic modeling of multiple scalar mixing in a three-stream concentric coaxial jet based on one-dimensional turbulence

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