Although weighted compact nonlinear scheme (WCNS) has been successfully applied to the simulation of complex configurations, due to the excessive dissipation, the scheme is still not suitable for many circumstances. In this article, an optimised five-point-stencil WCNS is proposed. On the one hand, by assembling two fourth-order sub-schemes, the background upwind scheme is optimised for low dissipation. On the other hand, with a specific function, the weighting strategy is optimised to enhance stability near discontinuities and further reduce dissipation in the smooth region. Finally, several benchmark problems are conducted to demonstrate the improved performance of the optimised scheme.

尽管加权紧凑非线性方案（WCNS）已成功应用于复杂配置的模拟，但由于耗散过多，该方案仍然不适用于许多情况。在本文中，提出了一种优化的五点模板 WCNS。一方面，通过组合两个四阶子方案，背景逆风方案针对低耗散进行了优化。另一方面，通过特定函数，优化加权策略以增强不连续点附近的稳定性并进一步减少平滑区域的耗散。最后，进行了几个基准问题来证明优化方案的改进性能。