Direct numerical simulation of transitional flow at high Mach number coupled with a wall heating model


Redford, J.A., Sandham, N.D. and Roberts, G.T. (2010) Direct numerical simulation of transitional flow at high Mach number coupled with a wall heating model. Computers and Fluids, 45, 37-46. (doi:10.1016/j.compfluid.2010.11.024).

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Description/Abstract

In transitional and turbulent high speed boundary-layer flows the wall thermal boundary conditions play an important role and in many cases an assumption of a constant temperature or a specified heat flux may not be appropriate for numerical simulations. In this paper we extend a formulation for direct numerical simulation of compressible flows to include a thin plate that is thermally fully coupled to the flow. Even without such thermal coupling compressible flows with shock waves and turbulence represent a challenge for numerical methods. In this paper we review the scaling properties of algorithms, based on explicit high-order finite differencing combined with shock capturing, that are suitable for dealing with such flows. An application is then considered in which an isolated roughness element is of sufficient height to trigger transition in the presence of acoustic forcing. With the thermal wall model included it is observed that the plate heats up sufficiently during the simulation for the transition process to be halted and the flow consequently re-laminarises.

Item Type: Article
ISSNs: 0045-7930 (print)
1879-0747 (electronic)
Keywords: boundary layer transition, wall heating, roughness, laminar–turbulent transition, supersonic flow, heat transfer
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: University Structure - Pre August 2011 > School of Engineering Sciences
University Structure - Pre August 2011 > School of Engineering Sciences > Aerodynamics & Flight Mechanics
ePrint ID: 171001
Date Deposited: 12 Jan 2011 15:14
Last Modified: 27 Mar 2014 19:20
Projects:
UK Turbulence Consortium
Funded by: EPSRC (EP/G069581/1)
Led by: Richard David Sandberg
19 July 2009 to 18 July 2014
URI: http://eprints.soton.ac.uk/id/eprint/171001

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