2018 **Abstract:** By using CSL3 multimoment interpolation, a piecewise cubic polynomial for spatial reconstruction can be obtained with four multimoment constraint conditions consisting of two point values at cell boundaries, one volume-integrated average and one slope parameter at the cell center. The resulting multimoment finite-volume scheme is of fourth-order accuracy. A non-oscillatory scheme can be derived by designing the proper formula to calculate the slope parameter at the cell center. A new strategy was recently prop…

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“…14(a) in Tang et al . ()). The relative minimum error shown in Figure b indicates that the proposed scheme assures the non‐negativity of the solution to the machine precision of double‐precision real number.…”

confidence: 99%

“…14(a) in Tang et al . ()). The relative minimum error shown in Figure b indicates that the proposed scheme assures the non‐negativity of the solution to the machine precision of double‐precision real number.…”

confidence: 99%

“…For sake of brevity, the MM-FVM_WENO scheme adopting the proposed non-negativity correction is denoted by MM-FVM_WENO_FC scheme hereafter. As in Tang et al (2018), the solution of the VIA moment is used to calculate the normalized errors (Williamson et al, 1992) presented next for different test cases.…”

confidence: 99%