• Our results are in very good agreement with numerical simulations and Peregrine's analytic prediction. (nature.com)
  • To this end, we combine analytical calculations with numerical simulations to investigate a computational model of the BG-thalamo-cortical network. (jneurosci.org)
  • We describe the 2D and 3D behaviour of this instability using numerical simulations and we present a simple analytical model describing the underlying physical process. (aanda.org)
  • A subcritical baroclinic instability is observed in flows stable for the Solberg-Hoïland criterion using local simulations. (aanda.org)
  • The subcritical baroclinic instability is a robust phenomenon, which can be captured using local simulations. (aanda.org)
  • However, the presence of this instability was affected by changing the numerical scheme used in the simulations, casting strong doubts on this instability as a real physical processes. (aanda.org)
  • Our numerical simulations reveal a new scaling regime in which the energy injection rate has a power-law dependence on the drag coefficient, with a scaling exponent of 1/3. (ucsd.edu)
  • The catastrophe theory, as a branch of the nonlinear theory, can study the characteristics of a system changing with the change of its control parameters, especially when the parameters change the performance of the system to cause catastrophe under certain conditions [ 10 - 12 ]. (hindawi.com)
  • To analyze nonlinear instability and morphological evolution of LCP shell/core spheres, we develop a shallow core-shell model that accounts for director-induced anisotropic spontaneous strains. (imechanica.org)
  • This instability-restabilization response (isola-center bifurcation) can originate from the nonlinear competition between stretching energy and bending energy. (imechanica.org)
  • This instability is found to be a nonlinear (or subcritical) instability, which cannot be described by ordinary linear approaches. (aanda.org)
  • Klahr (2004) speculated that these transient growths could lead to a nonlinear instability explaining the result of Klahr & Bodenheimer (2003) , but it is still unclear whether transient growths are relevant for nonlinear instabilities (see e.g. (aanda.org)
  • The nonlinear problem was then studied in local shearing boxes by Johnson & Gammie (2006) using fully compressible numerical methods. (aanda.org)
  • Observing that there exists a constraint on the time evolution of the difference between the energy and enstrophy, we develop a new nonlinear stability method, the energy-enstrophy (EZ) method, which proves nonlinear stability in a larger portion of the parameter space than the traditional energy method. (ucsd.edu)
  • Different design parameters such as engine/store location and wing sweep and curvature are considered, and the nonlinear aeroelastic analyses are performed. (fiu.edu)
  • However, the nature of these instabilities is still unclear and 3D parametric instabilities can lead to the rapid destruction of these vortices. (aanda.org)
  • 3D shearing boxes are also investigated using high resolution spectral methods to resolve both the SBI and 3D parametric instabilities. (aanda.org)
  • Finally, the instability survives in 3D, vortex cores becoming turbulent due to parametric instabilities. (aanda.org)
  • The instability survives in 3D thanks to a balance between the 2D SBI and 3D parametric instabilities. (aanda.org)
  • One route for internal waves to dissipate is through parametric subharmonic instability (PSI), in which waves at one temporal frequency impart energy to disturbances with half that frequency and much smaller vertical spatial scale, thus set the stage for turbulent mixing. (ucsd.edu)
  • Sangeeta Yadav SPDE-Net: Predict a robust stabilization parameter for a singularly perturbed PDE using deep learning Numerical techniques for solving Singularly Perturbed Differential Equations (SPDE) suffer low accuracy and high numerical instability in presence of interior and boundary layers. (wias-berlin.de)
  • Subodh Joshi Global sensitivity analysis of multilayer perceptron hyperparameters for application to stabilization of high-order numerical schemes for singularly perturbed PDEs Advection dominated flows are often modeled by singularly perturbed partial differential equations. (wias-berlin.de)
  • High-order finite element schemes are typically used for numerical solution of such equations. (wias-berlin.de)
  • Numerical solutions of flow across a small-scale flame element using the experimentally and numerically developed Forchheimer equations were verified experimentally. (asme.org)
  • We describe the influence of the Fermi surface (FS) topology, the competition/cooperation between the SC and Nematic order parameters, the effect of the nematic feedback on the SC order, on the low temperature behaviour of thermal conductivity. (aps.org)
  • Additionally, the concept of parameters influencing the behaviour and strength of the stiffened plates were taken into consideration and hence the influence of the aspect ratio parameter on the ultimate strength of the stiffened plate and the influence of the slenderness ratio parameter on the failure modes were analysed for conclusion. (ukdiss.com)
  • Additionally, it is important to understand the behaviour of the stiffened plate on different environmental condition which lies in proportion with two important parameters such as aspect ratio and slenderness ratio. (ukdiss.com)
  • The flow in the flame arrestor element is three dimensional, making it very challenging and computationally expensive for numerical modeling. (asme.org)
  • In the current work to investigate filamentation Weibel instability in various systems the computationally efficient particle-in-cell plasma simulation code CFHall has been used. (keldysh.ru)
  • In summary, the research methods of stability analysis and structural parameters of pillars mainly include numerical simulation, elastic plastic theory, mathematical methods, and so on. (hindawi.com)
  • Due to their complexity in the structure, the concept of elastic instability has to studied well to proceed further. (ukdiss.com)
  • This makes the proposed technique eligible for extension to higher dimensions and other cases where the analytical formula for stabilization parameter is unknown, therefore making supervised learning impossible. (wias-berlin.de)
  • the work consisted of analytical methods to derive perturbation expansions at low Reynolds numbers, and numerical analysis for the investigation of new parameter regimes. (imperial.ac.uk)
  • This example of industrial application proves that it is feasible to use the cusp catastrophe theory to analyze the stability and parameter design of the intervening pillar under different constraints. (hindawi.com)
  • 2 ] used the ultimate strength theory to analyze the instability mechanism of coal pillars. (hindawi.com)
  • At present, substantial amounts of research on the stability analysis and structural parameters optimization of pillar have been conducted. (hindawi.com)
  • 7 ] applied the genetic algorithm of the Pareto optimal solution set to the multiobjective optimization problem of the response surface model and obtained the optimal pillar structure parameters. (hindawi.com)
  • The approach presented in this talk is to let an optimization algorithm decide on these parameters which leaves the choice of an appropriate objective to the user. (wias-berlin.de)
  • Stellarator optimization is the numerical procedure by which the magnetic configuration is tailored to meet several design criteria, and neoclassical transport of bulk and energetic ions are two of them. (cern.ch)
  • This tool provided a good theoretical approximation to the initial conditions of the flow field which are ideal for further numerical calculations. (imperial.ac.uk)
  • My PhD project has so far been involved with continuing the mentioned MRes project and completing the numerical calculations over the whole of the surface pertaining to the roughness elements. (imperial.ac.uk)
  • It is expected that these numerical calculations will help to explain certain drag reduction effects. (imperial.ac.uk)
  • Stabilization techniques are often employed to reduce the spurious oscillations in the numerical solution. (wias-berlin.de)
  • They were done using our proposed method of calculation, which combines adiabatic calculation of the engine's thermodynamic parameters with dynamics of the displacer and working piston oscillations. (icontrolpollution.com)
  • The main objectives of this research are to investigate the effects of different design parameters on the aeroelastic stability of HALE aircraft. (fiu.edu)
  • The coefficients of the Forchheimer equation were obtained from experiments and numerical simulation. (asme.org)
  • In the numerical method, a single triangular crimp-channel flow numerical simulation result was used to calculate the Forchheimer coefficients. (asme.org)
  • The simplification and advantages gained by developing the Forchheimer coefficients using numerical methods in flame arrestor applications is presented. (asme.org)
  • The variable array parameter kArray returns the polynomial coefficients, the variable parameter FitQual returns the goodness of fit. (lohninger.com)
  • A dynamical mechanism for such gross cancellations and correspond- ing major fine-tuning of vacuum parameters is yet not known and is a subject of ongoing intensive studies (for a review on this topic, see e.g. (lu.se)
  • 1/2 determines the frequencies that experience gain and b =[8 a (1−2 a )] 1/2 determines the instability growth. (nature.com)
  • Linear instability theory determines the part of the parameter space where the flow is unstable to infinitesimal perturbations. (ucsd.edu)
  • In order to obtain a stable and accurate solution, the right amount of artificial dissipation needs to be added to the flux residual of the numerical scheme. (wias-berlin.de)
  • Numerical results are presented showing advantages and disadvantages of the methods. (wias-berlin.de)
  • We present new results exhibiting a subcritical baroclinic instability (SBI) in local shearing box models. (aanda.org)
  • Numerical results obtained point to novel heat transport signatures of nematic superconductors. (aps.org)
  • Numerical results for both the plate are obtained through Finite Element Program software ANSYS and compared for the conclusion. (ukdiss.com)
  • In this work, we explore the possibility of using a supervised learning approach to automatically decide the right amount of artificial dissipation to be added to the numerical flux residual for optimal speed, accuracy and stability. (wias-berlin.de)
  • Most of the studies on the effects of design parameters on aeroelastic stability take a descriptive approach, and they use the state-of-the-art numerical techniques to compare the performance of different designs and reveal the best of the options available. (fiu.edu)
  • A d-wave Pomeranchuk instability was used to model the nematic state and the feedback of the symmetry-broken nematic state on the SC channel was modeled through the mixing of s- and d-wave components. (aps.org)
  • Basically, three forms of procedure namely theoretical and/or numerical computer-aided and/or experimental can be adopted. (ukdiss.com)
  • The chosen parameters and simulation instruments are verified for a system of two relativistic plasma streams, both cold and with a finite temperature. (keldysh.ru)
  • Finally, this instability can lead to a weak outward transport of angular momentum, due to the generation of density waves by the vortices. (aanda.org)
  • Indeed, even fundamental studies of Fermi-Pasta-Ulam recurrence in modulation instability have been carried out using initial conditions far from those that would excite Peregrine soliton features 23 . (nature.com)
  • Here ξ and τ are normalized distance and time, and induced modulation instability involves the evolution along ξ of a temporally modulated continuous wave towards a train of ultrashort compressed pulses followed by a return phase of broadening towards the initial state. (nature.com)
  • As the modulation parameter a increases, the temporal separation between adjacent peaks increases at the same time as the compressed temporal width of each individual peak decreases. (nature.com)
  • In many practical cases thermodynamic laws dictate that superconductivity must occur in the form of a spatially inhomogeneous state which brings about spatial modulation of the order parameter. (aps.org)
  • 5 ] used the numerical simulation method to obtain the optimal structural parameters of an isolated pillar in a pan area. (hindawi.com)
  • Then, the cusp catastrophe equation and the necessary and sufficient conditions for the instability of the intervening pillar under two different constraint conditions were obtained by using the cusp catastrophe theory. (hindawi.com)
  • We explore the parameter space varying several local dimensionless parameters and we isolate the regime relevant for the SBI. (aanda.org)
  • The algorithm has one parameters: the number of iteration to be performed. (itk.org)
  • When the director is along the out-of-plane direction, the surface shell undergoes equi-biaxial expansion, resulting in hexagonal, checkerboard, herringbone or labyrinth pattern, determined by a single dimensionless parameter Cs which characterizes the stiffness ratio and curvature of the system. (imechanica.org)
  • The dependency of the ratio of energy transferred to magnetic field formation on this parameter is obtained. (keldysh.ru)
  • A first version of these instabilities (the global baroclinic instability or GBI) was mentioned by Klahr & Bodenheimer (2003) using a purely numerical approach and considering a disc with a radial entropy gradient. (aanda.org)
  • In this work, numerical computer aided approach along with theoretical validation was adopted. (ukdiss.com)
  • Due to failure of rock mass with the characteristics of energy accumulation and sudden release, in recent years, many achievements have been made in the research of rock mass instability based on the catastrophe theory. (hindawi.com)
  • We establish distinct features which escape conventional theory as well as single parameter scaling. (aps.org)
  • The purpose of our work is to determine the basic thermodynamic parameters of a free-piston Stirling engine, parameters of the displacer/working piston oscillation system and the range of payload changes, which collectively make it possible to create the necessary conditions for the self-oscillation process in the engine. (icontrolpollution.com)
  • Baroclinic instabilities might be a way to generate these vortices in the presence of a radial entropy gradient. (aanda.org)
  • In the present study, I shed light on how a certain design parameter could influence the flow in the system, including the flow of stresses and how changing the geometry in the direction that provides greater access to the currents flowing through it, leads to a better design. (fiu.edu)
  • 8 ] used numerical simulation and the multiobjective ideal point method to optimize the structural parameters of stope pillars. (hindawi.com)
  • 9 ] established a simplified formula for calculating the safety factor of a rectangular pillar based on the orthogonal range analysis method and used it to optimize the structural parameters of the stope pillar. (hindawi.com)
  • Rather than concurrently performing state/parameter estimation and network training, which often leads to numerical instabilities, we propose a framework for decoupling the network training from the joint state/parameter estimation problem by employing state-constrained Kalman smoothers customized for VCC applications. (merl.com)
  • In these so-called 'physics-augmented' or 'physics-informed' machine learning approaches, the learning problem is often solved by jointly estimating parameters of the physics component model and weights of the network. (merl.com)
  • Such techniques are highly dependent on user chosen stabilization parameter. (wias-berlin.de)
  • The numerical parameters which are sufficient for adequate description of the process in question have been chosen. (keldysh.ru)
  • In such a case, the fillet radii are an important parameter. (ukdiss.com)
  • One of the major concerns is aeroelastic instability, which can appear as flutter, divergence, limit cycle oscillation, etc. (fiu.edu)
  • These involve a user-chosen parameter on each cell and it is unknown how to choose these parameters exactly. (wias-berlin.de)
  • Baroclinic instabilities in accretion discs has regained interest in the past few years. (aanda.org)
  • Smartphone use and absence of visual stimulus in the orthostatic position caused postural instability in children 6 to 9 years old. (bvsalud.org)
  • Furthermore, the minimum thickness formula for the intervening pillar without instability under two different constraint conditions was derived, and the relationships between the minimum thickness of the intervening pillar and the factors, including the depth of the stope, the inclination of the orebody, the thickness of the orebody, the height of the stage, the length of the stope, and the mechanical properties of the orebody, were analyzed. (hindawi.com)