One-dimensional turbulence modeling for cylindrical and spherical flows: model formulation and application

Lignell, David O.; Lansinger, Victoria; Medina, J. S.; Klein, Marten; Kerstein, Alan R.; Schmidt, Heiko; Fistler, Marco; Oevermann, Michael

doi:10.1007/s00162-018-0465-1

Cited by 28 publications

(46 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If an eddy event is accepted and deemed to be implemented, the diffusive (and forcing) terms of Equation are advanced in time up to the instant where the eddy event trial took place (this is normally called a catch‐up‐diffusion event in ODT). The reader is suggested to consult the work by Ashurst and Kerstein or Lignell in order to dive into the details of eddy event selection and implementation in ODT.…”

Section: One‐dimensional Turbulence Model (Odt)mentioning

confidence: 99%

IMEX based multi‐scale time advancement in ODTLES

2018

Self Cite

View full text Add to dashboard Cite

In this paper we overcome a key problem in an otherwise highly potential approach to study turbulent flows, ODTLES (One‐Dimensional Turbulence Large Eddy Simulation). From a methodological point of view, ODTLES is an approach in between Direct Numerical Simulations (DNS) and averaged/filtered approaches like RANS (Reynolds Averaged Navier‐Stokes) or LES (Large Eddy Simulations). In ODTLES, a set of 1D ODT models is embedded in a coarse grained 3D LES. On the ODT scale, the turbulent advection is modeled as a sequence of stochastic eddy events, also known as triplet maps, while the other (deterministic) terms are fully resolved in space (along the ODT‐line) and time. Schmidt et al. first (2008) introduced ODTLES and Gonzalez et al. (2011) applied the model for a variety of wall‐bounded flow problems. Although the results were notable for a first proof of concept, the numerical methods used are subject to debate. First of all, an unstable discretization for the large scale 3D advective terms was used, as shown by Glawe (2015). This scheme can be stabilized by reducing the CFL number for the explicitly discretized LES terms down to the order of the small scale ODT time step, but this of course reduces the advantage of the ODTLES multi‐scale approach. The stochastic ODT eddies were also allowed to overlap two LES cells introducing an artificial smoothing (stabilizing) effect. Glawe (2015) limited the overlap consistently to one LES cell and used a stable Runge Kutta (RK) discretization, maintaining, however the low CFL number problem. In this paper we adapt a new implicit/explicit (IMEX) time scheme to ODTLES in order to remedy the small CFL number issue. For the problems investigated, the results indicate a performance increase of the IMEX scheme by a factor of 17 based on the ratio of applied CFL numbers. This allowed simulations of a turbulent channel flow with characteristic friction Reynolds number Reτ=2040 on one Banana Pi single board computer. We compare results to available DNS data and discuss in general the efficiency and potential of ODTLES for high Reynolds number flows.

show abstract

Section: One‐dimensional Turbulence Model (Odt)mentioning

confidence: 99%

IMEX based multi‐scale time advancement in ODTLES

2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…The purpose of the cylindrical ODT formulation [18] is self-contained lower-order modeling of turbulent flows with axial symmetry of the mean like round jets and pipe flows. This model formulation is based on an adaptive Lagrangian finite-volume discretization [19] and is technically documented in [20].…”

Section: Overview Of the Cylindrical Odt Formulationmentioning

confidence: 99%

“…Below, some aspects of the model formulation are discussed, which are relevant for the model application to the mixing of passive scalars in round jets. We note that a complete model description is beyond the scope of this paper so that we defer the reader to [18] (and references therein) for details.…”

Section: Overview Of the Cylindrical Odt Formulationmentioning

confidence: 99%

“…In the following we specialize to T-ODT. ODT eddy events are implemented as a stochastic sequence of mapping events that instantaneously manipulate property profiles of u(r) and Y i (r) by application of the triplet map f (r) and kernel functions K(r) = r − f (r) and J(r) = |K(r)| for the map denoted triplet map B (TMB) in [18]. The triplet map models the microstructure of turbulent eddies by displacing fluid from location f (y) to mapped location y.…”

Section: Odt Eddy Eventsmentioning

confidence: 99%

See 1 more Smart Citation

Modeling One and Two Passive Scalar Mixing in Turbulent Jets Using One-Dimensional Turbulence

Klein¹,

Zenker²,

Hertha³

et al. 2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

Turbulent mixing of two passive scalars is investigated in a constant-property jets using stochastic one-dimensional turbulence (ODT). Scalars are separately injected by a central round and a surrounding annular jet that issue into a uniform co-flow of low velocity. These scalars are transported downstream and dispersed in radial direction by turbulent advection and molecular diffusion. The jet as well as the turbulent inflow are numerically simulated with ODT as stand-alone tool using a temporal (T-ODT) and spatial (S-ODT) formulation. We show that ODT captures key properties of the turbulent mixing for one scalar by performing individual scalar statistics and for two scalars by computation of joint probabilities. Some limitations of the one-dimensional modeling approach are also discussed.

show abstract

“…The basic ODT implementation used in this study was described in detail in Ref. [30]. In the following we will give a brief summary of the fundamental ideas and constructs of ODT.…”

Section: A Model Formulation and Evolution Processesmentioning

confidence: 99%

Turbulence modulation in particle-laden stationary homogeneous isotropic turbulence using one-dimensional turbulence

et al. 2020

Self Cite

View full text Add to dashboard Cite

Turbulence modulation in particle-laden stationary homogeneous isotropic turbulence is investigated using one-dimensional turbulence (ODT), a low-dimensional stochastic flow simulation model. For this purpose, ODT is extended in two ways. First, a forcing scheme that maintains statistical stationarity is introduced. Unlike direct numerical simulation (DNS) of forced turbulence, the ODT framework accommodates forcing that is not directly coupled to the momentum equation. For given forcing the ODT energy dissipation rate is therefore the same in particle-laden cases as in the corresponding single-phase reference case. Second, previously implemented one-way-coupled particle phenomenology is extended to two-way coupling using the general ODT methodology for flow modulation through interaction with any specified energy and momentum sources and sinks. As in a DNS comparison case for Re λ = 70, turbulence modulation is diagnosed primarily on the basis of the fluid-phase kinetic-energy spectrum. Because ODT involves subprocesses with straightforward physical interpretations, the ODT mechanisms of particle-induced turbulence modulation are clearly identified and they are plausibly relevant to particleladen Navier-Stokes turbulence. ODT results for the ratio of particle-phase and fluid-phase kinetic energies as a function of particle Stokes number and mass loading are reported for the purpose of testing these predictions in the future when these quantities are evaluated experimentally or using DNS.

show abstract

One-dimensional turbulence modeling for cylindrical and spherical flows: model formulation and application

Cited by 28 publications

References 44 publications

IMEX based multi‐scale time advancement in ODTLES

IMEX based multi‐scale time advancement in ODTLES

Modeling One and Two Passive Scalar Mixing in Turbulent Jets Using One-Dimensional Turbulence

Turbulence modulation in particle-laden stationary homogeneous isotropic turbulence using one-dimensional turbulence

Contact Info

Product

Resources

About