| 直接数值模拟/大涡模拟中数值误差影响的研究 | |
| 杨小龙 ; 符松 ; YANG Xiao-long ; FU Song | |
| 2010-05-14 ; 2010-05-14 | |
| 关键词 | 数值误差 TNS模型 Padé紧致格式 离散滤波器 大涡模拟 numerical errors TNS model Pad�compact difference scheme discrete filter LES O351.3 |
| 其他题名 | Study of Numerical Errors in DNS/LES |
| 中文摘要 | 通过比较湍流的能谱和总动能,对数值误差(包括混淆误差、离散截断误差)、亚格子模型以及它们之间相互作用对直接数值模拟和大涡模拟的影响进行了系统研究.算例采用了三维各向均匀同性湍流.为了研究复杂几何形状,数值格式采用了谱方法和Padé紧致格式.大涡模型采用了truncated Navior-Stokes(TNS)模型结合Padé离散滤波器.结果表明直接数值模拟中离散误差对结果有很大影响,低阶格式会导致计算发散.而大涡模拟中亚格子模型不仅能表征小尺度对大尺度的影响,而且还缓解了数值误差对计算结果的影响.因而低精度格式也可取得不错的结果.; By comparing the energy spectrum and total kinetic energy,the effects of numerical errors(which arise from aliasing and discretization errors),subgrid-scale(SGS) models and their interactions on direct numerical simulation(DNS) and large eddy simulation(LES) were investigated in detail.The decaying isotropic turbulence was chosen as the test case.In order to simulate complex geometries,both spectral method and Pad�compact difference schemes were studied.The truncated Navier-Stokes(TNS) equation model with Pad�discrete filter was adopted as SGS model.It is shown that for DNS,discretization error plays a key role in the simulation.Low order difference scheme may be not suitable.While for LES,it is found that SGS model can not only represent the effect of small scales to large scales,but also dump the numerical errors.Thus low order discretization scheme can also obtain reasonable results. |
| 语种 | 中文 ; 中文 |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/33491]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | 杨小龙,符松,YANG Xiao-long,等. 直接数值模拟/大涡模拟中数值误差影响的研究[J],2010, 2010. |
| APA | 杨小龙,符松,YANG Xiao-long,&FU Song.(2010).直接数值模拟/大涡模拟中数值误差影响的研究.. |
| MLA | 杨小龙,et al."直接数值模拟/大涡模拟中数值误差影响的研究".(2010). |
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