On the Use of Shock-Capturing Schemes for Large-Eddy Simulation
On the Use of Shock-Capturing Schemes for Large-Eddy Simulation
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DOI：
10.1006/jcph.1999.6268
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发表时间：
1999-08
影响因子：
4.1
通讯作者：
E. Garnier;M. Mossi;P. Sagaut;P. Comte;M. Deville
中科院分区：
文献类型：
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作者：
E. Garnier;M. Mossi;P. Sagaut;P. Comte;M. Deville
采用航空上常用的激波捕捉欧拉格式(Jameson，TVD-MUSCL，ENO)，对不同马赫数(0.2~1.0)的自由衰减各向同性流体湍流进行了数值模拟。这些计算的目的是评估在大涡模拟(LES)背景下使用这种方案的相关性。通过不含粘性扩散项的计算，研究了单调积分大涡模拟(MILES)方法的潜力。虽然考虑了一些已知的物理趋势，但发现模拟的小尺度流动受到高数值阻尼的影响。在准不可压缩的情况下，这种数值耗散可以用湍流耗散来解释，从而得到等效的泰勒微尺度的评估。基于这些的雷诺数介于30和40之间，取决于方案和分辨率(最高可达1283)。在大涡模拟的背景下，数值耗散也用次网格尺度耗散来解释，产生了等价的斯马戈林斯基“常数”，它不随时间而变平，并且仍然大于通常接受的经典斯马戈林斯基常数的值。基于对Smagorinsky或动态模型的测试，不建议在激波捕捉Euler代码中添加显式亚网格尺度(SGS)模型。
Numerical simulations of freely decaying isotropic fluid turbulence were performed at various Mach numbers (from 0.2 to 1.0) using known shock-capturing Euler schemes (Jameson, TVD-MUSCL, ENO) often employed for aeronautical applications. The objective of these calculations was to evaluate the relevance of the use of such schemes in the large-eddy simulation (LES) context. The potential of the monotone integrated large-eddy simulation (MILES) approach was investigated by carrying out computations without viscous diffusion terms. Although some known physical trends were respected, it is found that the small scales of the simulated flow suffer from high numerical damping. In a quasi-incompressible case, this numerical dissipation is tentatively interpreted in terms of turbulent dissipation, yielding the evaluation of equivalent Taylor micro-scales. The Reynolds numbers based on these are found between 30 and 40, depending on the scheme and resolution (up to 1283). The numerical dissipation is also interpreted in terms of subgrid-scale dissipation in a LES context, yielding equivalent Smagorinsky “constants” which do not level off with time and which remain larger than the commonly accepted values of the classical Smagorinsky constant. On the grounds of tests with either the Smagorinsky or a dynamic model, the addition of explicit subgrid-scale (SGS) models to shock-capturing Euler codes is not recommended.