  This paper explores the potential of a newly developed conjugate filter
oscillation reduction (CFOR) scheme for shock-capturing under the influence of
natural high-frequency oscillations. The conjugate low-pass and high-pass
filters are constructed based on the principle of the discrete singular
convolution. Two Euler systems, the advection of an isentropy vortex flow and
the interaction of shock-entropy wave are considered 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 proposed scheme is stable, conservative and reliable for the
numerical simulation of hyperbolic conservation laws.
