scholarly journals Optimal nonlinear eddy viscosity in Galerkin models of turbulent flows

2015 ◽  
Vol 766 ◽  
pp. 337-367 ◽  
Author(s):  
Bartosz Protas ◽  
Bernd R. Noack ◽  
Jan Östh

AbstractWe propose a variational approach to the identification of an optimal nonlinear eddy viscosity as a subscale turbulence representation for proper orthogonal decomposition (POD) models. The ansatz for the eddy viscosity is given in terms of an arbitrary function of the resolved fluctuation energy. This function is found as a minimizer of a cost functional measuring the difference between the target data coming from a resolved direct or large-eddy simulation of the flow and its reconstruction based on the POD model. The optimization is performed with a data-assimilation approach generalizing the 4D-VAR method. POD models with optimal eddy viscosities are presented for a 2D incompressible mixing layer at $\mathit{Re}=500$ (based on the initial vorticity thickness and the velocity of the high-speed stream) and a 3D Ahmed body wake at $\mathit{Re}=300\,000$ (based on the body height and the free-stream velocity). The variational optimization formulation elucidates a number of interesting physical insights concerning the eddy-viscosity ansatz used. The 20-dimensional model of the mixing-layer reveals a negative eddy-viscosity regime at low fluctuation levels which improves the transient times towards the attractor. The 100-dimensional wake model yields more accurate energy distributions as compared to the nonlinear modal eddy-viscosity benchmark proposed recently by Östh et al. (J. Fluid Mech., vol. 747, 2014, pp. 518–544). Our methodology can be applied to construct quite arbitrary closure relations and, more generally, constitutive relations optimizing statistical properties of a broad class of reduced-order models.

Author(s):  
Sedem Kumahor ◽  
Xingjun Fang ◽  
William Ediger ◽  
Mark F. Tachie

Abstract Separating and reattaching turbulent flows induced by a forward-facing step submerged in thick oncoming turbulent boundary layers developed over smooth and rough walls were investigated using time-resolved particle image velocimetry. Both smooth and fully rough upstream bottom wall conditions were examined and the resultant oncoming boundary layer thickness were 4.3 and 6.7 times the step height, respectively. The Reynolds number based on the step height and free-stream velocity was 7800. The mean velocities, Reynolds stresses analyzed in both Cartesian and curvilinear coordinate systems, eddy viscosity, correlation coefficient and third order moments are discussed. The results indicate that, due to the enhanced turbulence intensity and shear rate in the fully rough case, distinct elevated regions of vertical and shear Reynolds stresses are consistent upstream of the leading edge of the step while the magnitude of the Reynolds stresses are consistently higher than observed in the smooth case. The correlation coefficient, eddy viscosity and third order moments also show distinct elevated regions upstream of the leading edge of the step in the fully rough case. Above the step, distinct elevated regions of the Reynolds stresses, eddy viscosity and correlation coefficient are observed in both cases with the peak values at a vertical location corresponding to the maximum elevation of the mean separating streamline.


2018 ◽  
Vol 1 (72) ◽  
Author(s):  
Alexander Mikheev ◽  
Natalia Paramonova

The purpose of the research was the study of the effect of dosed vibration training (DVT) on the dynamics of psy-chophysiological qualities of athletes. The objectives of the research consisted of the determination of the effects of the vibration load on the dynamics of the development of the psychomotor (high-speed, coordination) qualities of athletes. In this study 10 male athletes took part. The average age of the group of test subjects was 13.90 ± 0.18 years old, the average body mass 55.61 ± 3.12 kg, the average body height 171.50 ± 7.91 cm, the average muscle tissue mass 38.90 ± 2.85%, the average fat tissue mass 16.40 ± 2.17%, the average period of participation in sports 4.25 ± 0.5 years. Over the course of two training microcycles (14 days) in the period of general training of the yearly training macrocycle athletes performed the program of DVT, which consisted of 8 stimulation training sessions, with 4 training sessions in each of the two weekly microcycles. The vibration load was created by means of the perfor-mance of repeated physical exercises with the extremities resting on the vibration devices (platforms), working at the frequency of 28 Hz and amplitude of 4 mm. With the goal of creating conditions for the global effect of vibrations on the body integrated exercise was proposed to the test subjects covering the greatest mass of working muscles with the vibration effect. The exercise consisted of two parts, performed without a break: arm-pumping exercises from the initial position “sitting back with arms resting on the vibration platforms” and squats on the vibrating platforms. Each parts of the exercise was performed by every trainee until fatigue. In accordance with the program the vibra-tion load increased from training to training due to the addition of one set to the number of sets performed in each preceding series of exercises. In the fi rst exercise the average time of the vibration load was 172 ± 12 seconds with an average total number of motion cycles of 169 ± 10, and in the last exercise 908±30 seconds with an average total number of motion cycles of 698 ± 31.On the basis of the results of the research it can be concluded that vibration training consisting of 8 stimulation series, equally distributed over the course of two microcycles, renders a positive infl uence on the psychophysiologi-cal qualities of athletes. Valid (р < 0.05) improvement in speed of complex motor response (12%) was observed immediately after the end of the training series. The precision of the complex choice reaction improved by 56% in comparison with the original value and maximum tempo of motions within one month improved by 10%. So dozed vibrating training infl uences psychophysiological qualities effectively and can be recommended for the introduction in the training process of elite athletes.Keywords: Dozed vibrating training (DVT), dozed vibration exercises (DVE), psychophysiological qualities, training microcycle, psychomotor reaction.


Author(s):  
Shirazu I. ◽  
Theophilus. A. Sackey ◽  
Elvis K. Tiburu ◽  
Mensah Y. B. ◽  
Forson A.

The relationship between body height and body weight has been described by using various terms. Notable among them is the body mass index, body surface area, body shape index and body surface index. In clinical setting the first descriptive parameter is the BMI scale, which provides information about whether an individual body weight is proportionate to the body height. Since the development of BMI, two other body parameters have been developed in an attempt to determine the relationship between body height and weight. These are the body surface area (BSA) and body surface index (BSI). Generally, these body parameters are described as clinical health indicators that described how healthy an individual body response to the other internal organs. The aim of the study is to discuss the use of BSI as a better clinical health indicator for preclinical assessment of body-organ/tissue relationship. Hence organ health condition as against other body composition. In addition the study is `also to determine the best body parameter the best predict other parameters for clinical application. The model parameters are presented as; modeled height and weight; modelled BSI and BSA, BSI and BMI and modeled BSA and BMI. The models are presented as clinical application software for comfortable working process and designed as GUI and CAD for use in clinical application.


Author(s):  
C. Henoch ◽  
Martin Hoffert ◽  
A. Baron ◽  
D. Klaiman ◽  
Semion Sukoriansky ◽  
...  

Physiotherapy ◽  
2013 ◽  
Vol 21 (3) ◽  
Author(s):  
Marzena Ślężyńska ◽  
Grzegorz Mięsok ◽  
Kamila Mięsok

AbstractIntroduction: The aim of the physical activity of the intellectually disabled is the strengthening of health, creating movement habits, promoting active recreation, and maintaining exercise capacity. Skillfully applied physical activity allows to mitigate the effects of pathology and create the compensations to enable the intellectually disabled people to live relatively independently. Physical activity and sport also increase their chances to integrate with their families, peers, and social environment.Materials and methods: The research targeted a group of 134 people with moderate or considerable intellectual disability (65 women and 69 men), aged 20-53 years, who participated in occupational therapy workshops in Jastrzębie Zdrój, Rybnik, and Żory. Physical fitness was assessed using the “Eurofit Special” test and balance tests. Measurements of body height and mass were also taken and then used to calculate the body mass index (BMI).Results: A salient somatic trait was the greater body mass relative to height among the persons with considerable disability, clearly illustrated by the BMI. This explained their greater heaviness in performing physical exercises. An even greater difference between participants with moderate and considerable intellectual disability was visible in physical fitness. Obviously, older persons did not achieve as good results in fitness tests as the younger ones, yet the participants were more differentiated by the level of disability than age. Most symptomatic differences to the disadvantage of the considerably disabled were observed in explosive strength, speed, abdominal muscle strength, and flexibility.Conclusions: Significant differences in fitness between the compared groups make it necessary to take into account the level of intellectual disability in the course of physical education and sport, at work, and in household duties.


1959 ◽  
Vol 63 (585) ◽  
pp. 508-512 ◽  
Author(s):  
K. W. Mangler

When a body moves through air at very high speed at such a height that the air can be considered as a continuum, the distinction between sharp and blunt noses with their attached or detached bow shocks loses its significance, since, in practical cases, the bow wave is always detached and fairly strong. In practice, all bodies behave as blunt shapes with a smaller or larger subsonic region near the nose where the entropy and the corresponding loss of total head change from streamline to streamline due to the curvature of the bow shock. These entropy gradients determine the behaviour of the hypersonic flow fields to a large extent. Even in regions where viscosity effects are small they give rise to gradients of the velocity and shear layers with a lower velocity and a higher entropy near the surface than would occur in their absence. Thus one can expect to gain some relief in the heating problems arising on the surface of the body. On the other hand, one would lose farther downstream on long slender shapes as more and more air of lower entropy is entrained into the boundary layer so that the heat transfer to the surface goes up again. Both these flow regions will be discussed here for the simple case of a body of axial symmetry at zero incidence. Finally, some remarks on the flow field past a lifting body will be made. Recently, a great deal of information on these subjects has appeared in a number of reviewing papers so that little can be added. The numerical results on the subsonic flow regions in Section 2 have not been published before.


Author(s):  
Luis Espath ◽  
Victor Calo

AbstractWe propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, microtorques, and mass. We focus on materials where second gradients of the phase field describe long-range interactions. By considering a nontrivial interaction inside the body, described by a boundary-edge microtraction, we characterize the existence of a hypermicrotraction field, a central aspect of this theory. On surfaces, we define the surface microtraction and the surface-couple microtraction emerging from internal surface interactions. We explicitly account for the lack of smoothness along a curve on surfaces enclosing arbitrary parts of the domain. In these rough areas, internal-edge microtractions appear. We begin our theory by characterizing these tractions. Next, in balancing microforces and microtorques, we arrive at the field equations. Subject to thermodynamic constraints, we develop a general set of constitutive relations for a phase-field model where its free-energy density depends on second gradients of the phase field. A priori, the balance equations are general and independent of constitutive equations, where the thermodynamics constrain the constitutive relations through the free-energy imbalance. To exemplify the usefulness of our theory, we generalize two commonly used phase-field equations. We propose a ‘generalized Swift–Hohenberg equation’—a second-grade phase-field equation—and its conserved version, the ‘generalized phase-field crystal equation’—a conserved second-grade phase-field equation. Furthermore, we derive the configurational fields arising in this theory. We conclude with the presentation of a comprehensive, thermodynamically consistent set of boundary conditions.


Sensors ◽  
2021 ◽  
Vol 21 (2) ◽  
pp. 593
Author(s):  
Ryota Yanagisawa ◽  
Shunsuke Shigaki ◽  
Kotaro Yasui ◽  
Dai Owaki ◽  
Yasuhiro Sugimoto ◽  
...  

In this study, we fabricated a novel wearable vibration sensor for insects and measured their wing flapping. An analysis of insect wing deformation in relation to changes in the environment plays an important role in understanding the underlying mechanism enabling insects to dynamically interact with their surrounding environment. It is common to use a high-speed camera to measure the wing flapping; however, it is difficult to analyze the feedback mechanism caused by the environmental changes caused by the flapping because this method applies an indirect measurement. Therefore, we propose the fabrication of a novel film sensor that is capable of measuring the changes in the wingbeat frequency of an insect. This novel sensor is composed of flat silver particles admixed with a silicone polymer, which changes the value of the resistor when a bending deformation occurs. As a result of attaching this sensor to the wings of a moth and a dragonfly and measuring the flapping of the wings, we were able to measure the frequency of the flapping with high accuracy. In addition, as a result of simultaneously measuring the relationship between the behavior of a moth during its search for an odor source and its wing flapping, it became clear that the frequency of the flapping changed depending on the frequency of the odor reception. From this result, a wearable film sensor for an insect that can measure the displacement of the body during a particular behavior was fabricated.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Xin Li ◽  
Jin Zhu ◽  
Jun An ◽  
Yuqing Wang ◽  
Yili Wu ◽  
...  

AbstractCongenital Heart Defects (CHDs) are associated with different patterns of malnutrition and growth retardation, which may vary worldwide and need to be evaluated according to local conditions. Although tetralogy of Fallot (TOF) is one of the first described CHDs, the etiology outcomes in growth and development of TOF in early age child is still unclear in most cases. This study was designed to investigate the growth retardation status of Chinese pediatric TOF patients under 5 years old. The body height, body weight and body mass index (BMI) of 262 pediatric patients (138 boys and 124 girls) who underwent corrective surgery for TOF between 2014 and 2018 were measured using conventional methods. The average body height, body weight and BMI of the patients were significantly lower than WHO Child Growth Standards, while the most affected was body height. Meanwhile, higher stunting frequency and greater deterioration of both the body height and weight happened in elder age (aged 13–60 months) rather than in infant stage (aged 0–12 months) among these patients. Our results confirmed that intervention should be given at early age to prevent the growth retardation of TOF patients getting severer.


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