A Robustness-Enhanced Reconstruction Based on Discontinuity Feedback Factor for High-Order Finite Volume Scheme
In this paper, a robustness-enhanced reconstruction for the high-order finite volume scheme is constructed on the 2-D structured mesh, and both the high-order gas-kinetic scheme and the Lax-Friedrichs flux solver are considered to verify the effectiveness of this algorithm. The strategy of the succe...
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| creator | Zhang, Hong Ji, Xing Zhao, Yue Ding, Yuan Xu, Kun |
| description | In this paper, a robustness-enhanced reconstruction for the high-order finite volume scheme is constructed on the 2-D structured mesh, and both the high-order gas-kinetic scheme and the Lax-Friedrichs flux solver are considered to verify the effectiveness of this algorithm. The strategy of the successful weighted essentially non-oscillatory (WENO) reconstruction is adopted to select the smooth sub-stencils. However, there are cases where strong discontinuities exist in all sub-stencils of the WENO reconstruction, weakening its robustness. To improve the robustness of the algorithm in discontinuous regions in two-dimensional space, the hybrid reconstruction based on a combination of discontinuity feedback factor (Ji et al. in Int. J. Comput. Fluid Dyn. 35:485–509, 2021) and WENO reconstruction is developed to deal with the possible discontinuities. Numerical results from smooth to extreme cases have been presented, which validates that the new finite volume scheme is effective for robustness enhancement while maintaining high resolution compared with the WENO scheme. |
| doi_str_mv | 10.1007/s10915-024-02655-6 |
| format | Article |
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| subjects | Accuracy Algorithms Computational Mathematics and Numerical Analysis Discontinuity Effectiveness Essentially non-oscillatory schemes Extreme values Feedback Finite volume method Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Navier-Stokes equations Numerical analysis Partial differential equations Reconstruction Robustness Stencils Theoretical |
| title | A Robustness-Enhanced Reconstruction Based on Discontinuity Feedback Factor for High-Order Finite Volume Scheme |
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