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Direct numerical simulation of compressible isotropic turbulence

Yuichi Matsuo, Kiyoshi Yamamoto

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Abstract

Direct Numerical Simulations of compressible, homogeneous, decaying isotropic turbulence are conducted using a Fourier pseudo-spectral method in order to deepen the understanding of physics and mechanics of compressible turbulence and to generate statistical data bases useful for turbulence modeling. The simulations are carried out on a vector-parallel supercomputer Numerical Wind Tunnel (NWT) at National Aerospace Laboratory (NAL) for a 128(exp 3) grid. The existence of eddy shocklets is confirmed at high turbulent Mach numbers. The time evolutions of turbulence statistical are also analyzed, indicating that the compressibility effects on turbulence is significant at higher fluctuating Mach numbers.

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What this paper is about

Direct Numerical Simulations of compressible, homogeneous, decaying isotropic turbulence are conducted using a Fourier pseudo-spectral method in order to deepen the understanding of physics and mechanics of compressible turbulence and to generate statistical data bases useful for turbulence modeling. The simulations are carried out on a vector-parallel supercomputer Numerical Wind Tunnel (NWT) at National Aerospace Laboratory (NAL) for a 128(exp 3) grid. The existence of eddy shocklets is confirmed at high turbulent Mach numbers. The time evolutions of turbulence statistical are also analyzed, indicating that the compressibility effects on turbulence is significant at higher fluctuating Mach numbers.

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Available abstract

Direct Numerical Simulations of compressible, homogeneous, decaying isotropic turbulence are conducted using a Fourier pseudo-spectral method in order to deepen the understanding of physics and mechanics of compressible turbulence and to generate statistical data bases useful for turbulence modeling. The simulations are carried out on a vector-parallel supercomputer Numerical Wind Tunnel (NWT) at National Aerospace Laboratory (NAL) for a 128(exp 3) grid. The existence of eddy shocklets is confirmed at high turbulent Mach numbers. The time evolutions of turbulence statistical are also analyzed, indicating that the compressibility effects on turbulence is significant at higher fluctuating Mach numbers.

Key concepts: Turbulence, Compressibility, Isotropy, Direct numerical simulation, Statistical physics, Mechanics, Physics, Geology

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