Abstract
In a conventional numerical scheme, the computational domain is truncated from a large physical system, leaving the inflow/outflow boundary conditions difficult to specify. In this study, a “spatial window function” is introduced to truncate the computational domain from the physical domain in the streamwise direction. The standard compressible Navier-Stokes equations are transformed into a set of equations which can be solved efficiently by Fourier spectral methods in the nonperiodic streamwise direction. No numerical inflow/outflow boundary conditions are needed. The accuracy of the scheme is shown to be mainly related to the window function. By properly designing the window function, spectral accuracy can be achieved. Issues concerning the numerical implementation of this scheme are also discussed. Numerical validation has been carried out extensively. The results are in good agreement with those from linear stability theory (LST), parabolized stability equations (PSE), and other spatial DNS codes.
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Guo, Y., Adams, N.A., Kleiser, L. (1994). Direct Numerical Simulation of Transition in A Spatially Growing Compressible Boundary Layer Using A New Fourier Method. In: Voke, P.R., Kleiser, L., Chollet, JP. (eds) Direct and Large-Eddy Simulation I. Fluid Mechanics and Its Applications, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1000-6_22
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DOI: https://doi.org/10.1007/978-94-011-1000-6_22
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