Calculation of diffusivities of passive fields in turbulent media

Abstract

The exact numerical and approximate analytical solutions of the simplest nonlinear integral equation with second order nonlinearity for the averaged Green function are presented. It is assumed that the turbulence is stationary, homogeneous, isotropic and incompressible. Numerous examples of turbulent spectra are considered (peak-like spectrum, spectra of Kolmogorov's type with different forms of “pumping” regions, stepwise spectra etc.). Special emphasis is given to investigating the case of so called “frozen” turbulence when the parameter ξ =u ₀τ/R→∞ where uτ₀,R ₀ are characteristic velocity, lifetime and space scale of turbulent pulsations, respectively. It is shown that these solutions allow us to calculate the turbulent diffusivities accurately for arbitrary spectra with any values of the parameter ξ. The results take into account the possible helicity of turbulence concerned only with scalar passive fields (number density and temperature).     

Quantifying the impact of no-till on runoff in southern Brazil at hillslope and catchment scales

No-till (NT) is a conservation system that improves the hydrological regime of agricultural slopes by providing greater surface protection and benefits to the physical and hydrological properties of soils. However, the isolated use of NT is not enough to control runoff and its associated degradation processes. Therefore, this study aimed to evaluate the runoff of agricultural slopes under NT under different runoff control conditions by monitoring 63 rainfall events in two 2.4-ha zero-order catchments and 27 rainfall events in four 0.6-ha macroplots. The catchments are paired and similar in terms of the type of soil and relief, but different regarding the presence of terraces. The macroplots have different soil and crop management systems. By using monitoring techniques, the hyetographs and hydrographs revealed the influence of the different types of management on the catchments and macroplots and allowed rainfall characteristics, runoff volume, runoff coefficients, water infiltration, peak runoff, response times, and curve number to be analysed. The terraces positively affected the NT and controlled runoff and related variables, in addition to infiltration significantly increasing and runoff reducing in the terraced catchment. All the hydrological information assessed pointed to the positive effects provided by the presence of the terraces. The results in the macroplots showed that high amounts of phytomass and/or chiselling do not control runoff and its correlated variables in medium and high magnitude events. The study concludes by underlining the need for additional measures to control runoff (terraces), even in areas under NT and with high phytomass production. Additionally, the study emphasizes the importance of monitoring at the catchment scale to better understand the hydrological behaviour of agricultural areas and provide the necessary parameters to effectively control runoff.     

The changing malaria risk patterns in East-Central Europe and the North Balkans in the last 27 000 years

Southeast Europe has historically been at the crossroads of migration routes between Western Asia and Europe. In the Holocene, this area might have been home to malaria. However, it is questionable when malaria arrived in this area and whether it could persist continuously or not in the Holocene. To begin to answer these questions, the July potential generation number of two malaria parasites were modelled, based on the reconstructed mean July temperatures of 52 times in the last 27 000 years. The results indicate that in the late Pleistocene era (27–12 kya bp ), vivax malaria might have been present in the south-east Black Sea and Aegean Sea's coastal areas. Vivax malaria could also be present in the Pannonian Basin and the inner parts of the North Balkans at least from the mid-Greenlandian period (~10 kya bp ). Although it is questionable whether falciparum malaria could be endemic in the Pannonian Basin during the mid-Holocene climate optimum (~6 kya bp ), this malaria plausibly could be endemic from the Neolithic era (~12–6.5 kya bp ) in the major river valleys of the North Balkan region, millennia ahead of the Graeco-Roman times (8th century bce to 6th century ce ).     

工作基点的位移对观测点的影响分析

在基坑变形监测工作中,受场地条件的限制,工作基点往往只能埋设在基坑边相对稳定的地方,因此,工作基点也会产生位移。针对在施工现场进行变形观测时工作基点易于发生变动的情况,分析和讨论了工作基点位移的确定以及其位移给观测点带来的影响,提出相应的修正方法,并结合工程实例进行了分析。     

中国地震预警延迟时间算法及其对预警盲区的影响研究

通过分析预警系统的预警步骤来探讨影响获得预警时间的因素,并与瑞士地震台网预警延迟各步骤进行对比,得出中国地震预警系统仪器延迟时间为7.6s。提出地震波到台站所需时间的算法,较震中假设在台站中间的传统算法更为准确,在此算法下采用双台法和四台法计算接收地震波所需时间,得到中国地震预警延迟时间。讨论双台法和四台法在不同震源深度和台站密度下对预警盲区大小的影响,在台间距小于20km时,2种方法预警盲区差异不大。通过理论计算得出,在台站到达一定密度时,预警系统仪器延迟时间缩短比台站加密对预警盲区的缩小更有效。     

中国大陆MS≥7.0地震与太阳黑子活动之间关系的统计检验

利用1900—2017年间中国大陆地区64次M_S≥7.0地震资料,根据太阳黑子11年周期变化计算了它们的相位角,分析了它们的相位角分布,利用统计检验方法对它们与太阳黑子11年周期变化之间的关系进行了检验。结果是:中国大陆地区M_S≥7.0地震中约66%发生在太阳黑子11年周期变化的谷值点前2年—后3年的时段内,在α=0.001显著性水平下通过显著性检验。2019年底太阳黑子11年周期变化将达谷值点,因此,2018—2022年为中国大陆地区M_S7.0地震易发时段。      

卫星导航接收机中多波束抗干扰技术

抗干扰是卫星导航接收机中一项重要的技术。提出了一种卫星导航接收机中的新型多波束抗干扰方法,该方法能够较好地兼顾零陷深度与卫星信号增益的矛盾,达到抑制干扰的同时增强卫星信号强度的目的。通过大量仿真实验分析了波束数目、波束分配方式以及波束指向偏差对抗干扰性能的影响。仿真结果和性能分析验证了该方法的有效性和可行性。     

Closed families of periodic solutions of a restricted three-body problem

The planar restricted three-body problem has an infinite number of families of symmetric periodic solutions (SPSs). The natural SPS families include certain families which are self-closed with respect to small variations in a parameter. These families remain closed for any admissible variations in the mass parameter μ. However, there are closed SRS families of another type, which exist only in bounded intervals of μ and are formed via self-bifurcations of some SPS families. This type of SPS families is poorly understude. This work describes the initial stage (4 bifurcations) of a bifurcation cascade of the natural family i and points out other closed SPS families known to date.     

Numerical Simulations of Sheltering in Valleys: The Formation of Nighttime Cold-Air Pools

Numerical simulations of flow over two-dimensional valleys are conducted in order to study the occurrence of pools of cold air that form at the bottom of valleys during stable nighttime conditions. The results show that during strong surface radiative cooling and light-wind events, the near-surface potential temperatures that occur at the bottom of valleys can be several kelvin below the environmental mean. This is true for quite shallow valleys with depths and widths of 50 m and 1 km, respectively, and is a result of in situ sheltering at the valley bottom. For windier conditions or less rapid cooling, the cold-pool temperature contrasts are reduced. For shallow valleys the magnitude of the difference between the potential temperature at the bottom of the valley and the mean value increases with increasing valley depth. However there is a critical valley depth, beyond which the valley flow becomes decoupled from that aloft and there are no further increases in the potential temperature difference. This critical valley depth depends on the wind speed and radiative cooling rate and the results indicate it is a function of a non-dimensional valley depth (or inverse Froude number), which is itself a property of the undisturbed profiles of wind and stability.     

Street Versus Rooftop Level Concentrations of Fine Particles in a Cambridge Street Canyon

Dispersion of particles, as evidenced by changes in their number distributions (PNDs) and concentrations (PNCs), in urban street canyons, is still not well understood. This study compares measurements by a fast-response particle spectrometer (DMS500) of the PNDs and the PNCs (5–1000 nm, sampled at 1 Hz) at street and rooftop levels in a Cambridge UK street canyon, and examines mixing, physical and chemical conversion processes, and the competing influences of traffic volume and rooftop wind speed on the PNDs and the PNCs in various size ranges. PNCs at street level were ≈6.5 times higher than at rooftop. Street-level PNCs followed the traffic volume and decreased with increasing wind speed, showing a larger influence of wind speed on 30–300 nm particles than on 5–30 nm particles. Conversely, rooftop PNCs in the 5–30 nm size range increased with wind speed, whereas those for particles between 30 and 300 nm did not vary with wind speed.