Predictions of Heat Transfer in Hypersonic Viscous Flows by an Improved Third-Order WENO Scheme
Predictions of Heat Transfer in Hypersonic Viscous Flows by an Improved Third-Order WENO Scheme
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DOI：
10.1007/978-981-13-3305-7_56
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发表时间：
2018-10
期刊：
影响因子：
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通讯作者：
Chen Li;Qin Li;Hanxin Zhang
中科院分区：
文献类型：
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作者：
Chen Li;Qin Li;Hanxin Zhang
提出了一种新的基于三阶加权非振荡格式的数值耗散误差减小方法。改进包括两个部分：首先，在原WENO方案的下风处增加一个候选模板，以减小方案线性部分的耗散；其次，提出了一种新的非线性加权方法，该方法类似于三阶WENO-Z格式，并引入了新的四阶全局平滑指标；四种高超声速流动的数值计算结果表明，与原WENO格式相比，该格式在保持非连续性数值稳定性的同时，具有更好的求解复杂流动结构和预测换热的性能。
A novel scheme is proposed to reduce numerical dissipation error based on the third-order weighted essentially non-oscillatory (WENO) scheme. The improvements include two parts: firstly, an additional candidate stencil is added downwind to the original WENO scheme, which aims at decreasing the dissipation of the linear part of the scheme; secondly, a new nonlinear weighting procedure, which is similar to the third-order WENO-Z scheme with a new fourth-order global smoothness indicator, is conducted. Numerical results on four cases in hypersonic flows demonstrate that the novel scheme has better performance on resolving complex flow structures and predicting heat transfer while maintaining the numerical stability at discontinuities compared with original WENO scheme.