Direct numerical simulation of elastic turbulence and its mixing-enhancement effect in a straight channel flow

In this paper,we present a direct numerical simulation(DNS) of elastic turbulence of viscoelastic fluid at vanishingly low Reynolds number(Re = 1) in a three-dimensional straight channel flow for the first time,using the Giesekus constitutive model for the fluid.In order to generate and maintain the turbulent fluid motion in the straight channel,a sinusoidal force term is added to the momentum equation,and then the elastic turbulence is numerically realized with an initialized chaotic velocity field and a stretched conformation field.Statistical and structural characteristics of the elastic turbulence therein are analyzed based on the detailed information obtained from the DNS.The fluid mixing enhancement effect of elastic turbulence is also demonstrated for the potential applications of this phenomenon.     

Comments on Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD

The explicit compact difference scheme,proposed in Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD by Lin et al.,published in Applied Mathematics and Mechanics (English Edition),2007,28(7),943-953,has the same performance as the conventional finite difference schemes.It is just another expression of the conventional finite difference schemes. The proposed expression does not have the advantages of a compact difference scheme. Nonetheless,we can more easily obtain and implement compared with the conventional expression in which the coefficients can only be obtained by solving equations,especially for higher accurate schemes.     

Characteristics and generation of elastic turbulence in a three-dimensional parallel plate channel using direct numerical simulation

Direct numerical simulations(DNSs) of purely elastic turbulence in rectilinear shear flows in a three-dimensional(3D) parallel plate channel were carried out,by which numerical databases were established.Based on the numerical databases,the present paper analyzed the structural and statistical characteristics of the elastic turbulence including flow patterns,the wall effect on the turbulent kinetic energy spectrum,and the local relationship between the flow motion and the microstructures' behavior.Moreover,to address the underlying physical mechanism of elastic turbulence,its generation was presented in terms of the global energy budget.The results showed that the flow structures in elastic turbulence were 3D with spatial scales on the order of the geometrical characteristic length,and vortex tubes were more likely to be embedded in the regions where the polymers were strongly stretched.In addition,the patterns of microstructures' elongation behave like a filament.From the results of the turbulent kinetic energy budget,it was found that the continuous energy releasing from the polymers into the main flow was the main source of the generation and maintenance of the elastic turbulent status.     

Direct numerical simulation study of the interaction between the polymer effect and velocity gradient tensor in decaying homogeneous isotropic turbulence

Direct numerical simulation of decaying homogeneous isotropic turbulence (DHIT) of a polymer solution is performed. In order to understand the polymer effect on turbulence or additive-turbulence interaction, we directly investigate the influence of polymers on velocity gradient tensor including vorticity and strain. By visualizing vortex tubes and sheets, we observe a remarkable inhibition of vortex structures in an intermediate-scale field and a small-scale field but not for a large scale field in DHIT with polymers. The geometric study indicates a strong relevance among the vorticity vector, rate-of-strain tensor, and polymer conformation tensor. Joint probability density functions show that the polymer effect can increase "strain generation resistance" and "vorticity generation resistance", i.e., inhibit the generation of vortex sheets and tubes, ultimately leading to turbulence inhibition effects.     

Influence of polymer additives on turbulent energy cascading in forced homogeneous isotropic turbulence studied by direct numerical simulations

Direct numerical simulations(DNS) were performed for the forced homogeneous isotropic turbulence(FHIT) with/without polymer additives in order to elaborate the characteristics of the turbulent energy cascading influenced by drag-reducing effects.The finite elastic non-linear extensibility-Peterlin model(FENE-P) was used as the conformation tensor equation for the viscoelastic polymer solution.Detailed analyses of DNS data were carried out in this paper for the turbulence scaling law and the topological dynamics of FHIT as well as the important turbulent parameters,including turbulent kinetic energy spectra,enstrophy and strain,velocity structure function,small-scale intermittency,etc.A natural and straightforward definition for the drag reduction rate was also proposed for the drag-reducing FHIT based on the decrease degree of the turbulent kinetic energy.It was found that the turbulent energy cascading in the FHIT was greatly modified by the drag-reducing polymer additives.The enstrophy and the strain fields in the FHIT of the polymer solution were remarkably weakened as compared with their Newtonian counterparts.The small-scale vortices and the small-scale intermittency were all inhibited by the viscoelastic effects in the FHIT of the polymer solution.However,the scaling law in a fashion of extended self-similarity for the FHIT of the polymer solution,within the presently simulated range of Weissenberg numbers,had no distinct differences compared with that of the Newtonian fluid case.     

对论文"任意精度的三点紧致显格式及其在CFD中的应用"的评论

证明了林建国等(林建国,谢志华,周俊陶,任意精度的三点紧致显格式及其在CFD中的应用.应用数学和力学,2007,28(7):843-852)提出的紧致显格式与传统的差分格式实质相同,是传统差分格式的另一表达形式,并不具有紧致格式的优点.尽管如此,但这种表达形式更紧凑,推导获得高精度的差分表达式相对于传统的Taylor展开求待定系数的方法也更加简单.     

三维Kolmogorov流动弹性湍流直接数值模拟研究

黏弹性流体弹性湍流现象是在极低雷诺数下(惯性效应可以忽略),完全由流体弹性引起的复杂湍流现象,在此条件下牛顿流体处于层流流态.该现象不仅具有与惯性湍流类似的一些特征,还具有其独特的特性,此外,其诱发机理与惯性湍流完全不同.为了更深刻地认识弹性湍流特性及其产生机理,本文基于三维Kolmogorov流动采用直接数值模拟研究...     

减阻剂水溶液内弹体入射超空泡特性实验研究

采用高速射弹方法实验研究了子弹入射水中及表面活性剂减阻剂水溶液中产生的超空泡形态特性。利用气动卷钉枪向水及质量分数为1×10~(-4)、5×10~(-4)和1×10~(-3)的三种不同浓度十六烷基三甲基氯化铵(CTAC)表面活性剂水溶液中射弹,同时用高速摄像机记录子弹的运动过程及产生的超空泡形态。实验结果表明,相同入射条件下子弹入射CTAC水溶液产生的超空泡比入射水中产生的超空泡的尺寸大,维持的时间更长,表明子弹在CTAC水溶液中受到的阻力更小。     

粘弹性减阻流动的雷诺应力模型研究

针对由Giesekus本构方程描述的粘弹性槽道减阻流动,建立了低Re数雷诺应力模型.通过与DNS数据的比较,该模型对平均速度、平均变形、减阻率和应力的预测较准确,而对时均速度剖面和脉动速度强度的预测精度有待提高.另外,对雷诺应力再分配项(压强变形率相关项)的模化有待改进.     

Comments on <Emphasis Type="Italic">Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD</Emphasis>

The explicit compact difference scheme, proposed in Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD by Lin et al., published in Applied Mathematics and Mechanics （English Edition）, 2007, 28（7）, 943-953, has the same performance as the conventional finite difference schemes. It is just another expression of the conventional finite difference schemes. The proposed expression does not have the advantages of a compact difference scheme. Nonetheless, we can more easily obtain and implement compared with the conventional expression in which the coefficients can only be obtained by solving equations, especially for higher accurate schemes.