DNS 1-2 Description: Difference between revisions

From KBwiki
Jump to navigation Jump to search
(added figure from the paper)
Line 31: Line 31:
An idealised channel flow, without side walls, is considered. The details of the case are given in [https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/identifying-eigenmodes-of-averaged-smallamplitude-perturbations-to-turbulent-channel-flow/EF03E2FFFF1A481FC55448B3F11496F2 Iyer et al.(2019)]<ref name="iyer2019">''A. Iyer, F. D. Witherden, S. I. Chernyshenko & P. E. Vincent'', Identifying eigenmodes of averaged small-amplitude perturbations to turbulent channel flow, Journal of Fluid Mechanics, 875 (758-780), 2019</ref>. The current set of simulations has a higher grid resolution in the wall normal direction.  
An idealised channel flow, without side walls, is considered. The details of the case are given in [https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/identifying-eigenmodes-of-averaged-smallamplitude-perturbations-to-turbulent-channel-flow/EF03E2FFFF1A481FC55448B3F11496F2 Iyer et al.(2019)]<ref name="iyer2019">''A. Iyer, F. D. Witherden, S. I. Chernyshenko & P. E. Vincent'', Identifying eigenmodes of averaged small-amplitude perturbations to turbulent channel flow, Journal of Fluid Mechanics, 875 (758-780), 2019</ref>. The current set of simulations has a higher grid resolution in the wall normal direction.  
==Geometry and flow parameters==
==Geometry and flow parameters==
The geometry is a cuboid of dimensions <math>8\pi</math> units in the streamwise direction <math>(x)</math>, 2 units in the transverse direction <math>(y)</math> and <math>4\pi</math> units in the spanwise direction <math>(z)</math>. The dimensions are normalised by the channel half-width, <math>h</math> and centreline velocity.  
The geometry is a cuboid of dimensions <math>8\pi</math> units in the streamwise direction <math>(x)</math>, 2 units in the transverse direction <math>(y)</math> and <math>4\pi</math> units in the spanwise direction <math>(z)</math>, as shown in figure 1. The dimensions are normalised by the channel half-width, <math>h</math> and centreline velocity.  
 
<div id="figure2"></div>
{|align="center"
|[[Image:Channel iyer2019.gif|400px]]
|-
|''Figure 1:'' Computational domain from Iyer et al. (2019)                           
|}
<!-- Describe the general set up of the test case and provide a sketch of the geometry, clearly identifying location and type of boundaries. Specify the non-dimensional flow parameters which define the flow regime (e.g. Reynolds number, Rayleigh number, angle of incidence etc), including the scales on which they are based. Provide a detailed geometrical description, by preference in form of a CAD, or alternatively as lists of points and a description of the interpolation. -->
<!-- Describe the general set up of the test case and provide a sketch of the geometry, clearly identifying location and type of boundaries. Specify the non-dimensional flow parameters which define the flow regime (e.g. Reynolds number, Rayleigh number, angle of incidence etc), including the scales on which they are based. Provide a detailed geometrical description, by preference in form of a CAD, or alternatively as lists of points and a description of the interpolation. -->



Revision as of 14:39, 7 December 2021


Front Page

Description

Computational Details

Quantification of Resolution

Statistical Data

Instantaneous Data

Storage Format

Introduction

The turbulent Channel Flow is one of the canonical flows used to study turbulence in wall bounded turbulence. DNS of turbulent channel flow were undertaken at . DNS were undertaken using PyFR (http://www.pyfr.org/) version 1.12.0:

  • based on the high-order flux reconstruction method of Huynh[1]
  • compressible solver
  • a Rusanov Riemann solver was employed to calculate the inter-element fluxes
  • an explicit RK45[2R+] scheme[2] was used to advance the solution in time
  • Fifth order polynomials are used for the computations

Review of previous studies

Turbulent channel has been one of the canonical test cases to study the characteristics of wall bounded turbulence. The simplified setup proposed by Kim et al. (1987)[3] is now a standard test case for wall bounded turbulent flow simulations. The setup is computationally inexpensive as it a periodic channel flow with periodic boundary conditions in the spanwise and streamwise directions. With recent progress made in computing infrastructure, Reynolds numbers as large as (Bernardini et al. 2014) and (Pirrozoli et al. 2021) are now available. Nevertheless, the case by Kim et al. still remains as a benchmark case for wall bounded turbulent flow simulations.

Description of the test case

An idealised channel flow, without side walls, is considered. The details of the case are given in Iyer et al.(2019)[4]. The current set of simulations has a higher grid resolution in the wall normal direction.

Geometry and flow parameters

The geometry is a cuboid of dimensions units in the streamwise direction , 2 units in the transverse direction and units in the spanwise direction , as shown in figure 1. The dimensions are normalised by the channel half-width, and centreline velocity.

Channel iyer2019.gif
Figure 1: Computational domain from Iyer et al. (2019)

Boundary conditions

Periodicity conditions are imposed in the streamwise and spanwise boundaries which gives a flow developing in time. The transverse boundaries are no-slip walls. The initial density and pressure fields are uniform. The initial velocity field is . The solution is started at order 2 and progressively increased to order 5.


References

  1. Huynh, H. T., A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods, AIAA, 2007-4079, 1-42, 2007.
  2. Kennedy, C. A., Carpenter, M. H. & Lewis, R. M, Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations, Appl. Numer. Maths, 35(3), 177-219, 2000.
  3. Kim,J., Moin, P. & Moser, R., Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech. 177, 133-166, 1987
  4. A. Iyer, F. D. Witherden, S. I. Chernyshenko & P. E. Vincent, Identifying eigenmodes of averaged small-amplitude perturbations to turbulent channel flow, Journal of Fluid Mechanics, 875 (758-780), 2019


Contributed by: Arun Soman Pillai, Lionel Agostini — Imperial College London

Front Page

Description

Computational Details

Quantification of Resolution

Statistical Data

Instantaneous Data

Storage Format


© copyright ERCOFTAC 2024