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

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 dir...

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Veröffentlicht in:Computers & fluids 2011-06, Vol.45 (1), p.37-46
Hauptverfasser: Redford, J.A., Sandham, N.D., Roberts, G.T.
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container_title Computers & fluids
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creator Redford, J.A.
Sandham, N.D.
Roberts, G.T.
description 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.
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subjects Boundary layer transition
Compressible flows
shock and detonation phenomena
Computational fluid dynamics
Computer Science
Computer simulation
Exact sciences and technology
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
Heat transfer
High Mach number
Laminar–turbulent transition
Mathematical models
Mechanics
Physics
Roughness
Supersonic and hypersonic flows
Supersonic flow
Transition to turbulence
Turbulence
Turbulent flow
Turbulent flows, convection, and heat transfer
Wall heating
Walls
title Direct numerical simulation of transitional flow at high Mach number coupled with a thermal wall model
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