# Wall-resolved spectral cascade-transport turbulence model

## Abstract

A spectral cascade-transport model has been developed and applied to turbulent channel flows (Reτ= 550, 950, and 2000 based on friction velocity, uτ ; or ReδΜ= 8,500; 14,800 and 31,000, based on the mean velocity and channel half-width). This model is an extension of a spectral model previously developed for homogeneous single and two-phase decay of isotropic turbulence and uniform shear flows; and a spectral turbulence model for wall-bounded flows without resolving the boundary layer. Data from direct numerical simulation (DNS) of turbulent channel flow was used to help develop this model and to assess its performance in the 1D direction across the channel width. The resultant spectral model is capable of predicting the mean velocity, turbulent kinetic energy and energy spectrum distributions for single-phase wall-bounded flows all the way to the wall, where the model source terms have been developed to account for the wall influence. We implemented the model into the 3D multiphase CFD code NPHASE-CMFD and the latest results are within reasonable error of the 1D predictions.

- Authors:

- North Carolina State Univ., Raleigh, NC (United States). Dept. of Nuclear Engineering
- Argonne National Lab. (ANL), Argonne, IL (United States). Nuclear Energy Division
- Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Mechanical Aerospace and Nuclear Engineering

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Nuclear Energy (NE)

- OSTI Identifier:
- 1393902

- Grant/Contract Number:
- AC02-06CH11357; AC05-00OR22725

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Nuclear Engineering and Design

- Additional Journal Information:
- Journal Volume: 320; Journal Issue: C; Journal ID: ISSN 0029-5493

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 22 GENERAL STUDIES OF NUCLEAR REACTORS; CFD; DNS; channel flow; spectral-cascade; turbulence model

### Citation Formats

```
Brown, C. S., Shaver, D. R., Lahey, R. T., and Bolotnov, I. A..
```*Wall-resolved spectral cascade-transport turbulence model*. United States: N. p., 2017.
Web. doi:10.1016/j.nucengdes.2017.06.001.

```
Brown, C. S., Shaver, D. R., Lahey, R. T., & Bolotnov, I. A..
```*Wall-resolved spectral cascade-transport turbulence model*. United States. doi:10.1016/j.nucengdes.2017.06.001.

```
Brown, C. S., Shaver, D. R., Lahey, R. T., and Bolotnov, I. A.. Sat .
"Wall-resolved spectral cascade-transport turbulence model". United States.
doi:10.1016/j.nucengdes.2017.06.001. https://www.osti.gov/servlets/purl/1393902.
```

```
@article{osti_1393902,
```

title = {Wall-resolved spectral cascade-transport turbulence model},

author = {Brown, C. S. and Shaver, D. R. and Lahey, R. T. and Bolotnov, I. A.},

abstractNote = {A spectral cascade-transport model has been developed and applied to turbulent channel flows (Reτ= 550, 950, and 2000 based on friction velocity, uτ ; or ReδΜ= 8,500; 14,800 and 31,000, based on the mean velocity and channel half-width). This model is an extension of a spectral model previously developed for homogeneous single and two-phase decay of isotropic turbulence and uniform shear flows; and a spectral turbulence model for wall-bounded flows without resolving the boundary layer. Data from direct numerical simulation (DNS) of turbulent channel flow was used to help develop this model and to assess its performance in the 1D direction across the channel width. The resultant spectral model is capable of predicting the mean velocity, turbulent kinetic energy and energy spectrum distributions for single-phase wall-bounded flows all the way to the wall, where the model source terms have been developed to account for the wall influence. We implemented the model into the 3D multiphase CFD code NPHASE-CMFD and the latest results are within reasonable error of the 1D predictions.},

doi = {10.1016/j.nucengdes.2017.06.001},

journal = {Nuclear Engineering and Design},

number = C,

volume = 320,

place = {United States},

year = {Sat Jul 08 00:00:00 EDT 2017},

month = {Sat Jul 08 00:00:00 EDT 2017}

}

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