Shock-capturing with natural high-frequency oscillations
نویسندگان
چکیده
This paper explores the potential of a newly developed conjugate lter oscillation reduction (CFOR) scheme for shock-capturing under the in uence of natural high-frequency oscillations. The conjugate lowand high-pass lters are constructed based on the principle of the discrete singular convolution (DSC), a local spectral method. The accuracy and resolution of the DSC basic algorithm are accessed with a one-dimensional advection equation. Two Euler systems, the advection of an isotropic vortex ow and the interaction of shock–entropy wave are utilized to demonstrate the utility of the CFOR scheme. Computational accuracy and order of approximation are examined and compared with the literature. Some of the best numerical results are obtained for the shock–entropy wave interaction. Numerical experiments indicate that the CFOR scheme is stable, conservative and reliable for the numerical simulation of hyperbolic conservation laws. Copyright ? 2003 John Wiley & Sons, Ltd.
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