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《Acta Aerodynamica Sinica》 1984-01
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Zhang Hanxin (China Aerodynamic Research and Development Centre)  
In this paper, the spatial oscillations in finite difference solutions for Navier-Stokes shocks are explored. It is shown that the second order diffusion term added to NS equations could smear the shock wave, damp the oscillations in the vicinity of the shock. However, the third order dispersion term and fourth order diffusion term added to NS equations could cause the oscillations in upstream and downstream region of the shock under the conditions given by this paper. Therefore the oscillations in the difference solutions with second or third order accuracy could arise from the numerical dispersion and diffusion terms.
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