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  • Atomic Spectroscopy - Different Coupling Schemes |

    2021-6-2 · Coupling Schemes and Term Symbols The coupling schemes outlined above include those now most frequently used in calculations of atomic structure [ 3 ]. Any term symbol gives the values of two angular momenta that may be coupled to give the total electronic angular momentum of a level (indicated by the J value).

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  • Atomic Spectroscopy - Eigenvector Composition of

    2021-6-2 · The wave functions of levels are often expressed as eigenvectors that are linear combinations of basis states in one of the standard coupling schemes. Thus, the wave function Ψ(α J) for a level labeled α J might be expressed in terms of normalized LS coupling basis states Φ(γSLJ):

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  • Coupling schemes for cluster synchronization in

    2004-10-15 · The coupling topology affects crucially the synchronization of the coupled system. It is well known that different coupling schemes result in different types of synchronization and by choosing an appropriate coupling scheme we can have a required synchronization.

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  • Efficiency of coupling schemes for the treatment of

    2017-5-1 · Efficiency of coupling schemes for the treatment of steady state fluid-structure thermal interactions. ... as a function of the coupling iterations, for the four cases. Download : Download ... was determined. Different formulations of the Robin coupling coefficient were compared, including α f (o p t) and the standard local convective heat ...

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  • Accelerated staggered coupling schemes for

    2012-10-1 · The results of Fig. 19 illustrate the importance of accelerated coupling schemes: increasing the degree of coupling considerably reduces computational efficiency if no convergence acceleration methods are applied to the Gauss–Seidel procedure. On the other hand, a combination of either dynamic relaxation or quasi-Newton together with a mechanical predictor improves the situation significantly …

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  • Coupling schemes for modeling hydraulic fracture ...

    Coupling schemes for modeling hydraulic fracture propagation using XFEM for the two-dimensional Khristianovich-Geertsma-de Klerk (KGD) model is proposed in [21]. A fully coupled hydromechanical ...

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  • Coupling Schemes for Multiphysics Reactor Simulation

    INL/EXT-07-13490 Coupling Schemes for Multiphysics Reactor Simulation V. S. Mahadeven J. C. Ragusa 1Texas A & M November 2007 Idaho National Laboratory Idaho Falls, Idaho 83415

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  • Coupling finite volume and nonstandard finite difference ...

    2017-3-29 · 4 Non-standard finite difference scheme In this section, we follow [14, 18] and outline the main steps in designing the NSFD scheme for a linear second order equation −ε2u′′ − q(x)u = 0, (4.1) where ε ≪ 1. We begin by assuming that the function q(x) is a constant and given by q˜. In this

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  • Comparative analysis of coupling schemes of Monte

    2020-3-1 · Four coupling schemes, including beginning of step approximation, predictor-corrector for nuclide density, predictor-corrector on neutron flux and one-group effective cross section, and high order predictor-corrector with sub-step method, of Monte Carlo burnup calculation are researched and implemented in independently developed MC reactor code ...

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  • Coupling schemes for modeling hydraulic fracture ...

    Coupling schemes for modeling hydraulic fracture propagation using XFEM for the two-dimensional Khristianovich-Geertsma-de Klerk (KGD) model is proposed in [21]. A fully coupled hydromechanical ...

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  • Defining a Standard-Explicit co-simulation interaction

    2016-9-21 · You use a Standard-Explicit co-simulation interaction to define the interface region and coupling schemes for an Abaqus/Standard to Abaqus/Explicit co-simulation. Select Interaction Create from the main menu bar, and select the region for exchanging …

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  • Coupling finite volume and nonstandard finite difference ...

    2017-3-29 · Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation A. A. Aderogba, M. Chapwanya∗, J. Djoko Kamdem, J. M.-S. Lubuma Department of Mathematics & Applied Mathematics, University of Pretoria,

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  • Consistent accelerated schemes for nonlinear

    function N(u) may be ... Overcoming drawbacks in current coupling schemes . ... and the central ideas of direct methods for the numerical solution of dense linear systems as described in standard ...

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  • Comparison of Performance of Virtual Coupling

    Comparison of Performance of Virtual Coupling Schemes for Haptic Collaboration using Real and Emulated Internet Connections January 2007 DOI: 10.1145/1377868.1377907

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  • High-Order Flux Reconstruction Schemes

    2019-6-23 · elements, instead coupling is achieved through the calculation of common fluxes at interfaces. This is similar to the coupling that occurs between cells in FV schemes. Beyond CG and DG another more recent class of high-order schemes for unstructured grids are spectral difference (SD) methods. Originally proposed

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  • Explicit Coupling Schemes for a Fluid-Fluid Interaction ...

    A non standard formulation for the Navier-Stokes equations is adopted to have suitable boundary conditions for the coupling of the models. ... solved by implicit timestepping schemes, with the ...

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  • 12.3 Connectivity Schemes | Neuronal Dynamics

    2018-12-17 · 12.3 Connectivity Schemes. 12.3. Connectivity Schemes. The real connectivity between cortical neurons of different types and different layers, or within groups of neurons of the same type and the same layer is still partially unknown, because experimental data is limited. At most, some plausible estimates of connection probabilities exist.

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  • Failure of standard approximations of the exchange ...

    2017-12-17 · coupling both for a quasi-one- and a two-dimensional system, also including an applied magnetic field. Our numerical results provide a stringent test of standard approximation schemes e.g., Heitler-London, Hund-Mulliken, Hubbard , and they show that the standard methods do not have reliable predictive power even for simple model systems.

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  • Review of Zernike polynomials and their use in describing ...

    2018-4-2 · Other Single Index Schemes Z 1 Z 3 Z 4 5 Z 6 Z 7 Z 8 9 Z 10 Z 11 Z 12 Z 13 Z 14 Z 15 Z 2 NON-STANDARD Starts at 1 cosines are even terms sines are odd terms Normalized Noll, RJ. Zernike polynomials and atmospheric turbulence. J Opt Soc Am 66; 207-211 (1976). Also Zemax “Standard Zernike Coefficients”

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  • (PDF) Coupling Schemes for Multiphysics Reactor

    The discretization using θ scheme for a simple system of equations can be written as ∂y = F (y, x) ∂t y n+1 − y n = θF n+1 + (1 − θ)F n (1) Δt where θ = 1 yields the B.E scheme and θ = 0.5 yields the C.N scheme. The current work is focused mainly on understanding the dynamical time scales of the problem to adapt time steps, rather ...

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  • Coupling finite volume and nonstandard finite difference ...

    2017-3-29 · Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation A. A. Aderogba, M. Chapwanya∗, J. Djoko Kamdem, J. M.-S. Lubuma Department of Mathematics & Applied Mathematics, University of Pretoria,

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  • Atomic electronic states: the L-S and j-j coupling

    Atomic electronic states: the L-S and j-j coupling schemes and their correlation. Li, Wai-Kee. ; Blinder, S. M. Abstract. In the first part of this paper, we review the assumption of the L-S coupling scheme, with which we derive the electronic states arising from a given atomic configuration. Then, with the aid of the spectral data of Group 15 ...

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  • Explicit and Implicit Code Coupling Schemes in Fluid ...

    2008-7-29 · In multi-physics numerical computations a good choice of code coupling schemes is required. Several methods are possible like: an explicit synchronous scheme an Euler implicit method and no interpolation on velocity pressure; an explicit asynchonous scheme using a Crank-Nicholson time integration scheme and interpolation on velocity and pressure; an implicit scheme using a fixed …

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  • Redundancy in Coupling PLC to the Power Line Final

    2011-4-19 · Some Background on Coupling Schemes as well as Pros & Cons The goal in designing a protective relaying system PLC communications channel is to achieve a channel that will reliably communicate a protective system function over the power line to the remote end. Channel design is greatly dependant on the type of protective relay scheme used.

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  • Spin–orbit coupling in quantum gases | Nature

    2013-2-6 · In the standard language, ... Laser coupling schemes. a, ... where as a function of laser intensity the characteristic double minima of SOC dispersion move together and finally merge 12. The ...

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  • Explicit Robin-Neumann schemes for the coupling of ...

    2021-7-19 · Explicit coupling schemes, circumventing the above infamous numerical instabilities, have only recently been proposed in the literature. In [8,10], added-mass free stability is achieved through a specific Robin-Robin treatment of the interface coupling conditions, derived from

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  • Splitting schemes and unfitted-mesh methods for the ...

    In this section, a new explicit coupling scheme is presented, which overcomes this issue. The main idea consists in performing first the time discretization and then the spatial one. 4.1 Robin–Neumann explicit coupling schemes. The starting point of the methods is the time semidiscrete explicit coupling schemes introduced in Fernández (2013).

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  • The coupling of taxonomy and function in

    2017-11-1 · The consensus in favor of functional diversity has not however led to a consensus about how this should be measured, although there are several integrative proposals (Mason et al. 2005; Wright et al. 2006; Carmona et al. 2016). Clarity matters: whether there is a relationship between biodiversity and ecosystem stability depends on what is meant by diversity and stability (both at the level of ...

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  • GMD - WRF-GC (v2.0): online two-way coupling of

    2021-6-23 · Abstract. We present the WRF-GC model v2.0, an online two-way coupling of the Weather Research and Forecasting (WRF) meteorological model (v3.9.1.1) and the GEOS-Chem model (v12.7.2). WRF-GC v2.0 is built on the modular framework of WRF-GC v1.0 and further includes aerosol–radiation interaction (ARI) and aerosol–cloud interaction (ACI) based on bulk aerosol mass and composition, as …

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  • Coupling functions in networks of oscillators -

    2015-3-6 · In calculating the coupling function, all the partial contributions involved in were considered, namely the self-coupling, the direct coupling , and the common coupling . The shape of the function is similar to the form presented in figure 2 (b), implying that the coupling is …

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  • Constructing Sampling Schemes via Coupling: Markov ...

    2019-3-26 · Constructing Sampling Schemes via Coupling: Markov Semigroups and Optimal Transport N. Nusk en and G. A. Pavliotisz Abstract. In this paper we develop a general framework for constructing and analyzing coupled Markov chain Markov processes. For many performance criteria of interest, including the asymptotic variance, the

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  • (PDF) Coupling Schemes for Multiphysics Reactor

    The discretization using θ scheme for a simple system of equations can be written as ∂y = F (y, x) ∂t y n+1 − y n = θF n+1 + (1 − θ)F n (1) Δt where θ = 1 yields the B.E scheme and θ = 0.5 yields the C.N scheme. The current work is focused mainly on understanding the dynamical time scales of the problem to adapt time steps, rather ...

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  • Generalized Robin-Neumann explicit coupling schemes

    2021-6-28 · coupling schemes for incompressible fluid-structure interaction: stability analysis and numerics. International Journal for Numerical Methods in Engineering, Wiley, 2015, 101 (3), pp.199-229. ￿10.1002/nme.4785￿. ￿hal-00875819￿

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  • Design and implementation of the canonical-form-like ...

    In addition, the higher order coupling schemes are also discussed. AB - The canonical-form-like cross-coupling schemes of orders four, six and eight and its implementations are presented for coupled resonator filters. These coupling schemes show similar characteristics to that of the traditional canonical form coupling schemes.

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  • New multiband coupling matrix synthesis technique

    To verify the feasibility of the proposed method, two dual-band coupling schemes, both single-path and dual-path, are proposed as examples of the dual-band filter design. Finally, the dual-band filter, based on the coupling matrix corresponding to a specific coupling scheme, can be realized using a microstrip parallel-coupled structure.

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  • [2107.03747] Memory efficient finite volume schemes

    2021-7-8 · We argue that this scheme has several advantages that make it particularly suited for precision determinations of the strong coupling, among them translational invariance, an analytic expansion in the coupling and a reduced memory footprint with respect to standard simulations on symmetric lattices, allowing for a more efficient use of current ...

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  • Splitting schemes and unfitted-mesh methods for the ...

    In this section, a new explicit coupling scheme is presented, which overcomes this issue. The main idea consists in performing first the time discretization and then the spatial one. 4.1 Robin–Neumann explicit coupling schemes. The starting point of the methods is the time semidiscrete explicit coupling schemes introduced in Fernández (2013).

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  • Spin–orbit coupling in quantum gases | Nature

    2013-2-6 · In the standard language, ... Laser coupling schemes. a, ... where as a function of laser intensity the characteristic double minima of SOC dispersion move together and finally merge 12. The ...

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  • Longitudinal coupling impedance of a particle

    where sgn(⋅) represents the signum function, ζ 0 = 120π Ω is the characteristic impedance of vacuum, J 0 (⋅) and J 1 (⋅) are the Bessel function of first kind and order 0 and 1, respectively, R (w) = w 2 − k 2 and F(w) is the unknown spectrum of the current induced on

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  • Atomic electronic states: the L-S and j-j coupling

    2014-9-7 · Atomic electronic states: the L-S and j-j coupling schemes and their correlation. In the first part of this paper, we review the assumption of the L-S coupling scheme, with which we derive the electronic states arising from a given atomic configuration. Then, with the aid of the spectral data of Group 15 elements, it becomes clear that the ...

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  • Partitioned multirate coupling schemes for the heat ...

    2018-11-3 · For DN coupling the acceleration schemes of preCICE can be used, for NN coupling the relaxation scheme had to be implemented in the adapter. The proposed coupling schemes allow for multirate time stepping in preCICE. The use of Quasi-Newton acceleration schemes with multirate time stepping requires further research.

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  • Acceleration of partitioned coupling schemes for

    2012-12-1 · A partitioned coupling scheme for problems of thermo‐elasticity at finite strains is presented. The coupling between the mechanical and thermal field is one of the most important multi‐physics problem. Typically two different strategies are used to find an accurate solution for both fields: Partitioned or staggered coupling schemes, in which the mechanics and heat transfer is treated as a ...

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  • 8.325 Homework 2 - MIT OpenCourseWare

    2020-12-31 · this notation the standard beta-function is β(g ) = β(g , 4).] Problem 2) Scheme and gauge dependence of beta-functions Consider a renormalizable non-abelian gauge theory. Let g(µR) and β(g) be the renormalized coupling and beta-function in a mass …

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  • Consistent accelerated schemes for nonlinear

    Consistent accelerated schemes for nonlinear coupling problems in reactor analysis. Vijay Mahadevan. jean Ragusa. Vijay Mahadevan. jean Ragusa. PDF. Download Free PDF. Free PDF. Download with Google Download with Facebook. or. Create a free account to download. PDF. PDF ...

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  • (PDF) The effect of mutual coupling on the correlation

    Results coupling on the correlation is presented. The mutual coupling are presented in Section 4 which show a notable impact of the for antennas on a cylindrical substrate is derived using an antenna mutual coupling on the correlation as function of the improved spectral domain approach.

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  • Phys. Rev. Applied 14, 024070 (2020) - Tunable

    2020-8-25 · (e) Population of 11 in three different schemes to realize the cz gate. Upper: rectangular pulses to have a positive coupling strength. t R = 222 ns is required for realizing the standard two-qubit cz gate. Middle: rectangular pulses to have a negative coupling regime. Obvious high-frequency oscillations occur and indicate the leakage out of 11 ...

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  • Discontinuous Deformation Analysis Coupling with ...

    A novel coupling scheme is presented to combine the discontinuous deformation analysis (DDA) and the interior penalty Galerkin (IPG) method for the modeling of contacts. The simultaneous equilibrium equations are assembled in a mixed strategy, where the entries are derived from both discontinuous Galerkin variational formulations and the strain energies of DDA contact springs.

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  • Longitudinal coupling impedance of a particle

    where sgn(⋅) represents the signum function, ζ 0 = 120π Ω is the characteristic impedance of vacuum, J 0 (⋅) and J 1 (⋅) are the Bessel function of first kind and order 0 and 1, respectively, R (w) = w 2 − k 2 and F(w) is the unknown spectrum of the current induced on

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  • Thermal Hydraulic and Neutronics Coupling Analysis

    The thermal hydraulic and neutronics coupling analysis is an important part of the high-fidelity simulation for nuclear reactor core. In this paper, a thermal hydraulic and neutronics coupling method was proposed for the plate type fuel reactor core based on the Fluent and Monte Carlo code. The coupling interface module was developed using the User Defined Function (UDF) in Fluent.

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