Computation of Inviscid Supersonic Flows Around Cylinders and Spheres With the V-SGS Stabilization and YZβ Shock-Capturing
Computation of Inviscid Supersonic Flows Around Cylinders and Spheres With the V-SGS Stabilization and YZβ Shock-Capturing
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利用 V-SGS 稳定和 YZβ 冲击捕获计算圆柱体和球体周围的无粘性超音速流动
DOI：
10.1115/1.3057496
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
T. Tezduyar
中科院分区：
文献类型：
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作者：
F. Rispoli;R. Saavedra;F. Menichini;T. Tezduyar
YZβ 冲击捕获技术最初是为了与守恒变量中可压缩流的流线-迎风/Petrov-Galerkin (SUPG) 公式结合使用而引入的。这是一种简单的基于残余的冲击捕获技术。后来，它还与守恒变量中可压缩流的可变亚网格尺度 (V-SGS) 公式相结合，并在标准二维测试问题上进行了测试。 V-SGS 方法基于源自 Hughes 变分多尺度方法的 SGS 模型类的近似。本文通过围绕圆柱体和球体的无粘性超音速流进行数值实验，结合V-SGS方法评估YZβ激波捕获的性能。圆柱体计算在马赫数 3 和 8 下进行，球体计算在马赫数 3 下进行。结果与 YZβ 冲击捕获结合 SUPG 公式获得的结果相比较，这与使用完善的 OVERFLOW 代码获得的结果相比非常有利。
The YZβ shock-capturing technique was introduced originally for use in combination with the streamline-upwind/Petrov-Galerkin (SUPG) formulation of compressible flows in conservation variables. It is a simple residual-based shock-capturing technique. Later it was also combined with the variable subgrid scale (V-SGS) formulation of compressible flows in conservation variables and tested on standard 2D test problems. The V-SGS method is based on an approximation of the class of SGS models derived from the Hughes variational multiscale method. In this paper, we carry out numerical experiments with inviscid supersonic flows around cylinders and spheres to evaluate the performance of the YZβ shock-capturing combined with the V-SGS method. The cylinder computations are carried out at Mach numbers 3 and 8, and the sphere computations are carried out at Mach number 3. The results compare well to those obtained with the YZβ shock-capturing combined with the SUPG formulation, which were shown earlier to compare very favorably to those obtained with the well established OVERFLOW code.