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| Fifth-order modified stencil WENO schemes for hyperbolic conservation laws |
| Received:October 05, 2022 Revised:December 24, 2022 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20221005002 |
| KeyWord:hyperbolic conservation laws WENO modified stencil nonlinear weights |
| Author | Institution |
| 郭城 |
郑州师范学院 数学与统计学院 数学系, 郑州 |
| 王亚辉 |
郑州师范学院 数学与统计学院 数学系, 郑州 |
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| Abstract: |
| In order to solve the problems of the classical fifth-order weighted essentially non-oscillatory (WENO) scheme,such as the excessive dissipation near the discontinuity and the inaccurate preserving of the critical point,a new modified stencil approximation method is proposed.The second-order polynomial approximation of the numerical flux on each candidate sub-stencil in the classical fifth-order WENO-JS scheme is improved,and the stencil approximation reaches the fourth-order accuracy by adding a cubic correction term.The new scheme has ENO property by introducing adjustable function φ,and the theoretical analysis shows that the new scheme has accuracy-preserving property.A series of numerical examples show the efficiency of the new scheme. |