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An alternative reconstruction for WENO schemes with adaptive order (2103.12273v1)
Published 23 Mar 2021 in math.NA, cs.NA, and physics.comp-ph
Abstract: We propose an alternative reconstruction for weighted essentially non-oscillatory schemes with adaptive order (WENO-AO) for solving hyperbolic conservation laws. The alternative reconstruction has a more concise form than the original WENO-AO reconstruction. Moreover, it is a strictly convex combination of polynomials with unequal degrees. Numerical examples show that the alternative reconstruction maintains the accuracy and robustness of the WENO-AO schemes.