Langmuir Turbulence and Solar Radio Bursts

Langmuir waves and turbulence resulting from an electron beam-plasma instability play a fundamental role in the generation of solar radio bursts. We report recent theoretical advances in nonlinear dynamics of Langmuir waves. First, starting from the generalized Zakharov equations, we study the parametric excitation of solar radio bursts at the fundamental plasma frequency driven by a pair of oppositely propagating Langmuir waves with different wave amplitudes. Next, we briefly discuss the emergence of chaos in the Zakharov equations. We point out that chaos can lead to turbulence in the source regions of solar radio emissions. This revised version was published online in August 2006 with corrections to the Cover Date.     

钝体燃烧器后能量逆转和紊流参数的数学模拟

本文用非定常数值法研究了钝体燃烧器后的紊流参数分布和能量逆转,并对Boussinesq的雷诺应力模式和双方程k-ε紊流模型提出了改进方案。这样不仅计算出了能量逆转区,而且紊流参数分布也与实验相符。     

Using gamma-ray burst prompt emission to probe relativistic shock acceleration

It is widely accepted that the prompt transient signal in the 10 keV–10 GeV band from gamma-ray bursts (GRBs) arises from multiple shocks internal to the ultra-relativistic expansion. The detailed understanding of the dissipation and accompanying acceleration at these shocks is a currently topical subject. This paper explores the relationship between GRB prompt emission spectra and the electron (or ion) acceleration properties at the relativistic shocks that pertain to GRB models. The focus is on the array of possible high-energy power-law indices in accelerated populations, highlighting how spectra above 1 MeV can probe the field obliquity in GRB internal shocks, and the character of hydromagnetic turbulence in their environs. It is emphasized that diffusive shock acceleration theory generates no canonical spectrum at relativistic MHD discontinuities. This diversity is commensurate with the significant range of spectral indices discerned in prompt burst emission. Such system diagnostics are now being enhanced by the broad-band spectral coverage of bursts by the Fermi Gamma-Ray Space Telescope; while the Gamma-Ray Burst Monitor (GBM) provides key diagnostics on the lower energy portions of the particle population, the focus here is on constraints in the non-thermal, power-law regime of the particle distribution that are provided by the Large Area Telescope (LAT).     

数值模拟方法对NASA CRM模型阻力预测的影响

在复杂工程外形的数值模拟中，网格类型、规模和分布、湍流模型、数值格式等都会不同程度影响模拟结果。如何评估这些模拟方法对模拟结果的影响，并识别对模拟结果影响较显著的因素，对于CFD的发展方向有积极的借鉴指导意义。为了综合研究不同因素对商用运输机外形阻力预测的影响，以AIAA第六届阻力预测会议外形NASA CRM为研究对象，同时考虑了网格、湍流模型、无黏通量格式和体心梯度求解方法等因素对阻力预测的影响。分析中采用枚举法和正交试验设计两种方法，并使用了基于聚类分析的定性敏感性分析方法和基于Mckay主影响分析的定量方法，识别出对阻力预测影响较大的因素，这为数值模拟方法的发展指明了方向。     

均匀各向同性大气湍流对声爆传播特性的影响

基于离散Fourier模态有限和生成的随机大气湍流场，采用修正波形参数方法，开展了均匀各向同性大气湍流对典型超声速客机声爆传播特性的影响分析。计算采用的超声速客机模型为自行生成的简化超声速公务机模型。首先，应用航空工业空气动力研究院自主研制的CFD软件ARI_Overset在三维空间求解Navier-Stokes方程，得到作为声爆远场传播初始值的近场空间压力分布；其次，基于Von Karman能量谱，采用离散Fourier模态有限和形式生成随机均匀各向同性大气湍流场；最后，采用修正波形参数方法模拟了声爆信号在随机速度湍流场中的传播过程。数值结果表明：各向同性大气湍流对于地面声爆特征有重要影响。与无湍流状态相比，均匀各向同性大气湍流使得地面声爆特征增强的概率约为55%，使得地面声爆特征减弱的概率约为45%，故总体而言大气湍流效应更倾向于增强地面声爆特征；均匀各向同性大气湍流对于声爆传播路径影响相对较小，但是这一变化仍会导致地面信号接收点的不确定性。     

New constitutive relation for eddy viscosity models

A new turbulent constitutive relation was directly derived from Boussinesq's hypothesis and mixing length theory, and then implemented in the standard k-ε model. The performance of this constitutive relation was validated in zero pressure gradient flat-plate boundary layer flow, fully-developed turbulent channel flow and separated flow in a plane asymmetric diffuser. The investigation demonstrated that, this new constitutive relation gave very accurate results in the former two basic cases and provided significant improvement in prediction of separated and reattachment points in the plane asymmetric diffuser. Separation and reattachment points at x/H=7.5 and 29 were calculated accurately in comparison to experimental results, and the static pressure coefficient of 0.82 was very close to large eddy simulation calculation. These results are very encouraging but further verification and extensive application of the new constitutive relation to other two-equation eddy viscosity model are needed.      

磁流体湍流中的结构和能量传输

磁流体湍流中存在多种相干结构,包括电流和涡旋结构。文章主要对近几年有关磁流体湍流相干结构及其相关的能量传输的一些工作进行了介绍。不同于中性流体湍流中的管状结构,磁流体中的相干结构多呈现为片状,强电流片附近也存在强涡片结构。磁流体湍流中的能量级串使能量跨尺度从大尺度传递至小尺度;与中性流体湍流能量传输主要集中在相近尺度上不同,磁流体湍流除了动能传输,还有磁能传输,以及动能与磁能之间的跨尺度互相转换。研究表明,磁流体湍流中的能量传输及耗散具有强间歇性,集中在较小区域范围,且与相干结构存在关联。在存在背景磁场的情况下,磁流体湍流中的相干结构在背景磁场方向上被拉长,而同样方向上的能量传输受到抑制。在高马赫数的情况下,激波的产生会使能量传输明显增强,同时带来很强的间歇性,结构函数标度律远远偏离线性标度关系,并且随着阶数的增加,标度指数会达到饱和值。     

低雷诺数条件下微型无人机机翼形状的研究

利用CFD软件FLUENT,通过Spalart-Allmaras模型、低Reynolds和二层模型这3种湍流模型对正八边形机翼平面布局进行绕流分析并与试验数据进行对比,选择了低Reynolds湍流模型对4种微型无人机机翼平面形状的低雷诺数气动特性进行模拟分析,结果表明,矩形布局和反齐默曼布局是微型无人机比较理想的设计选择.     

一个新的可压缩性修正的k-ε模型

考虑结构可压缩性修正的影响,发展了一个同时考虑结构可压缩性修正和膨胀可压缩性修正的k-ε湍流模型,新模型包括Chang可实现性、Heinz湍流动能产生项以及Sarkar可压缩性三部分修正.新模型扩宽了以往发展的可压缩性修正模型的适用范围,适用于高超声速(M>5)复杂湍流流动中.通过对多个复杂超声速横侧射流工况的计算,验证了新模型的预测效果.与实验结果相比表明,几个工况下新模型的预测精度都显著高于标准k-ε模型.流体分离强度越大,新模型的修正效果越显著.与标准k-ε模型相比,新模型计算结果与实验更加接近.     

30P-30N多段翼型复杂流场数值模拟技术研究

采用"亚跨超CFD软件平台"(TRIP2.0)数值模拟了30P-30N多段翼型的复杂流场,主要目的是考核湍流模型、转捩位置对多段翼型压力分布和典型站位速度型的影响。本文通过求解任意坐标系下的雷诺平均的N-S方程,采用多块对接结构网格技术,在与相应试验结果对比的基础上,详细研究了SA一方程湍流模型、SST两方程湍流模型、不同的转捩位置对该翼型压力分布和典型站位速度型的影响。本文的研究结果表明,采用全湍流模拟方式可以较好地模拟该多段翼型的压力分布,但对速度型的模拟精度较差;模拟试验的转捩位置可以改善主翼附面层与前缘缝翼边界层尾迹区的模拟精度;采用微吸气技术推迟前缘缝翼的转捩位置,可以进一步提高缝翼尾迹区的数值模拟精度。