Journal of Shanghai Jiao Tong University

Journal of Shanghai Jiaotong University >

2023 , Vol. 57 >Issue 6: 719 - 727

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2022.014

Aeronautics and Astronautics

Improvement and Numerical Verification of Weighting Strategy for High Precision WCNS Scheme

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  • School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2022-01-17

  Revised date: 2022-06-14

  Accepted date: 2022-07-12

  Online published: 2022-09-16

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Abstract

In order to reveal the complex flow mechanism, a series of high-order precision schemes have been proposed at home and abroad, of which, the weighted compact nonlinear scheme (WCNS) has a good shock capture ability and has been widely used in the numerical simulation of complex flows. However, it has insufficient resolution and large dissipation in the simulation of small-scale flows. In the framework of the WCNS, by using the weighting strategy of the targeted essentially non-oscillatory (TENO) scheme for reference, this paper introduces the new methods of discontinuity detection and template weighting into the construction of the WCNS scheme, and develops a WCNS7-T scheme with a 7-order accuracy. Example tests are conducted through one-dimensional shock tube problem and two-dimensional Riemann problem. By comparing with the traditional WCNS7-Z scheme, the improved performance of the new scheme is verified. The numerical experiments show that the WCNS7-T scheme can better suppress the numerical oscillation near the discontinuity, improve the resolution and shock capture ability, and further reduce the dissipation.

Key words： compressible flow; high precision scheme; shock discontinuity; nonlinear weighting

Cite this article

YANG Qiang, LI Weipeng . Improvement and Numerical Verification of Weighting Strategy for High Precision WCNS Scheme[J]. Journal of Shanghai Jiaotong University, 2023 , 57(6) : 719 -727 . DOI: 10.16183/j.cnki.jsjtu.2022.014

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