New High-Order Hybrid Cell-Edge and Cell-Node Weighted Compact Nonlinear Schemes
New High-Order Hybrid Cell-Edge and Cell-Node Weighted Compact Nonlinear Schemes
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DOI：
10.2514/6.2011-3857
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发表时间：
2011-06
期刊：
影响因子：
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通讯作者：
Xiaogang Deng;M. Mao;Yi Jiang;Huayong Liu
中科院分区：
文献类型：
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作者：
Xiaogang Deng;M. Mao;Yi Jiang;Huayong Liu
本文针对可压缩纳维-斯托克斯方程的无粘项提出了一套新的高阶混合单元边缘和单元节点加权紧凑非线性方案（HWCNS）。 HWCNS-E-5方案的模板宽度与五阶加权非线性插值的模板宽度相同。同时推导了边界和近边界方案。新的一组方案具有较小的模板宽度，具有与五阶 WCNS-E-5 方案相似的高分辨率和接近相同的精度。多项数值结果表明，HWCNS-E-5方案能够在间断捕获和边界层高精度计算方面获得良好的性能。
A new set of high-order hybrid cell-edge and cell-node weighted compact nonlinear schemes (HWCNS) for inviscid terms of compressible Navier-Stokes equations is proposed in the paper. The stencil width of the HWCNS-E-5 scheme are the same as that of the fifth-order weighted nonlinear interpolations. At the same time, boundary and near boundary schemes are derived. The new set of schemes, with a less stencil width, has similar high resolution and approach the same accuracy as the fifth-order WCNS-E-5 scheme. Several numerical results show the HWCNS-E-5 scheme can obtain good performances for discontinuity capture and high accuracy calculation of boundary layer.