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Egorov, I. V.; Novikov, Andrew V.

Direct numerical simulation of laminar-turbulent flow over a flat plate at hypersonic flow speeds. (English. Russian original) Zbl 1381.76126

Comput. Math. Math. Phys. 56, No. 6, 1048-1064 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 6, 1064-1081 (2016).
Summary: A method for direct numerical simulation of a laminar-turbulent flow around bodies at hypersonic flow speeds is proposed. The simulation is performed by solving the full three-dimensional unsteady Navier-Stokes equations. The method of calculation is oriented to application of supercomputers and is based on implicit monotonic approximation schemes and a modified Newton-Raphson method for solving nonlinear difference equations. By this method, the development of three-dimensional perturbations in the boundary layer over a flat plate and in a near-wall flow in a compression corner is studied at the Mach numbers of the free-stream of \(\mathrm{M} = 5.37\). In addition to pulsation characteristic, distributions of the mean coefficients of the viscous flow in the transient section of the streamlined surface are obtained, which enables one to determine the beginning of the laminar-turbulent transition and estimate the characteristics of the turbulent flow in the boundary layer.

Cited in 17 Documents

MSC:

76F65 Direct numerical and large eddy simulation of turbulence
76K05 Hypersonic flows

Keywords:

direct numerical simulation; laminar-turbulent transition; hypersonic flows; boundary layer

Software:

PETSc
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Full Text: DOI

References:

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