On the asymptotic matching procedure predicting the formation number

2021 ◽  
Vol 33 (11) ◽  
pp. 117103
Author(s):  
Raphaël Limbourg ◽  
Jovan Nedić
Keyword(s):  
Formation Number ◽  
Matching Procedure ◽  
Asymptotic Matching

3D Simulation and Experimental Validation of an Electrically-Excited Flow in a Folded Microchannel

2006 ◽  
Author(s):  
Dominik P. J. Barz ◽  
Hamid Farangis Zadeh ◽  
Peter Ehrhard
Keyword(s):  
Mathematical Model ◽  
Finite Elements ◽  
Flow Field ◽  
Boundary Conditions ◽  
Experimental Validation ◽  
Three Dimensional ◽  
Numerical Treatment ◽  
Matching Procedure ◽  
Asymptotic Matching ◽  
Good Agreement

We investigate the flow field in a folded microchannel, which serves as an essential part of an electrically-excited micromixer. A mathematical model that allows for the numerical treatment of the channel core is developed. The boundary conditions at the walls are implemented by means of an asymptotic matching procedure. Three-dimensional finite-elements simulations are performed and verified against experiments. The comparison shows good agreement.

Best Matching: Technical Details

2018 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Point Particle ◽  
Euclidean Group ◽  
Scale Invariant ◽  
Similarity Group ◽  
N Body Problem ◽  
Technical Details ◽  
Matching Procedure ◽  
Principal Fibre ◽  
Principal Fibre Bundle ◽  
Gauge Connection

The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge connection on the time axis, which is a representation of the Euclidean group of rotations and translations (or, possibly, the similarity group which includes dilatations). To accommodate temporal relationalism, the variational principle needs to be invariant under reparametrizations. The simplest way to realize this in point–particle mechanics is to use Jacobi’s reformulation of Mapertuis’ principle. The chapter concludes with the relational reformulation of the Newtonian N-body problem (and its scale-invariant variant).

scholarly journals Formation number of confined vortex rings

2018 ◽  
Vol 3 (9) ◽  
Author(s):  
I. Danaila ◽  
F. Luddens ◽  
F. Kaplanski ◽  
A. Papoutsakis ◽  
S. S. Sazhin
Keyword(s):  
Vortex Rings ◽  
Formation Number

scholarly journals Closed-Form Expressions for Numerical Evaluation of Self-Impedance Terms Involved on Wire Antenna Analysis by the Method of Moments

Electronics ◽  
2021 ◽  
Vol 10 (11) ◽  
pp. 1316
Author(s):  
Carlos-Ivan Paez-Rueda ◽  
Arturo Fajardo ◽  
Manuel Pérez ◽  
Gabriel Perilla
Keyword(s):  
Numerical Integration ◽  
Method Of Moments ◽  
Computing Time ◽  
Basis Functions ◽  
Wire Antenna ◽  
Complex Geometries ◽  
Point Matching ◽  
Piecewise Constant ◽  
Matching Procedure ◽  
Time Required

This paper proposes new closed expressions of self-impedance using the Method of Moments with the Point Matching Procedure and piecewise constant and linear basis functions in different configurations, which allow saving computing time for the solution of wire antennas with complex geometries. The new expressions have complexity O(1) with well-defined theoretical bound errors. They were compared with an adaptive numerical integration. We obtain an accuracy between 7 and 16 digits depending on the chosen basis function and segmentation used. Besides, the computing time involved in the calculation of the self-impedance terms was evaluated and compared with the time required by the adaptative quadrature integration solution of the same problem. Expressions have a run-time bounded between 50 and 200 times faster than an adaptive numerical integration assuming full computation of all constant of the expressions.

scholarly journals Consistent treatment of rapidity divergence in soft-collinear effective theory

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Junegone Chay ◽  
Chul Kim
Keyword(s):  
Heavy Quark ◽  
Soft Mode ◽  
Form Factors ◽  
Effective Theory ◽  
Large Rapidity ◽  
Soft Modes ◽  
Heavy Quark Mass ◽  
Soft Collinear Effective Theory ◽  
Matching Procedure ◽  
Consistent Treatment

Abstract In soft-collinear effective theory, we analyze the structure of rapidity divergence due to the collinear and soft modes residing in disparate phase spaces. The idea of an effective theory is applied to a system of collinear modes with large rapidity and soft modes with small rapidity. The large-rapidity (collinear) modes are integrated out to obtain the effective theory for the small-rapidity (soft) modes. The full SCET with the collinear and soft modes should be matched onto the soft theory at the rapidity boundary, and the matching procedure becomes exactly the zero-bin subtraction. The large-rapidity region is out of reach for the soft mode, which results in the rapidity divergence. The rapidity divergence in the collinear sector comes from the zero-bin subtraction, which ensures the cancellation of the rapidity divergences from the soft and collinear sectors. In order to treat the rapidity divergence, we construct the rapidity regulators consistently for all the modes. They are generalized by assigning independent rapidity scales for different collinear directions. The soft regulator incorporates the correct directional dependence when the innate collinear directions are not back-to-back, which is discussed in the N-jet operator. As an application, we consider the Sudakov form factor for the back-to-back collinear current and the soft-collinear current, where the soft rapidity regulator for a soft quark is developed. We extend the analysis to the boosted heavy quark sector and exploit the delicacy with the presence of the heavy quark mass. We present the resummed results of large logarithms in the form factors for various currents with the light and the heavy quarks, employing the renormalization group evolution on the renormalization and the rapidity scales.

scholarly journals Further developments in star cluster spectral libraries

2009 ◽  
Vol 5 (S266) ◽  
pp. 347-350
Author(s):  
Andrea V. Ahumada ◽  
Juan J. Clariá ◽  
Eduardo Bica ◽  
Andrés E. Piatti ◽  
João F. C. Santos ◽  
...  
Keyword(s):  
Spectral Range ◽  
Equivalent Width ◽  
Template Matching ◽  
Magellanic Cloud ◽  
Star Cluster ◽  
Open Clusters ◽  
Stellar Clusters ◽  
Colour Excess ◽  
Matching Procedure ◽  
Spectral Libraries

AbstractWe present flux-calibrated integrated spectra in the optical spectral range of Galactic open clusters (GOCs) and Magellanic Cloud (MC) stellar clusters (SCs) obtained at CASLEO (Argentina). The SC parameters were derived using the equivalent-width (EW) method and the template-matching procedure by comparing the line strengths and continuum distribution of the cluster spectra with those of template spectra with known parameters. MC cluster reddening values were also estimated by interpolation between the available extinction maps. The derived ages for the GOCs range from 3 Myr to 4 Gyr, while those of the MC SCs vary from 3 Myr to 7 Gyr. E(B−V) colour-excess values in the MCs appear to be all lower than 0.17 mag, while those of the GOCs range from 0.00 to 2.40 mag. The present data led us to upgrade the spectral libraries of reference spectra or templates of solar and MC metallicities.

COLOUR-MATCHING IN HAND AND FINGER PROSTHESES: THE ASIAN PERSPECTIVE

Hand Surgery ◽  
1996 ◽  
Vol 01 (01) ◽  
pp. 37-43 ◽  
Author(s):  
Eng-Lye Leow ◽  
Anam-Kueh Kour ◽  
Barry P. Pereira ◽  
Robert W.H. Pho
Keyword(s):  
Asian Population ◽  
Hand Prosthesis ◽  
Custom Made ◽  
Wide Range ◽  
Colour Match ◽  
Matching Procedure

The wide range of skin tones in the Asian population presents a challenge when colour-matching hand and finger prostheses. It requires that the prostheses be custom-made to better match the wide variations. We have developed a finger and hand prosthesis using a multi-layered moulding technique incorporating a colour-matching procedure capable of reproducing the colour tones and life-like appearance of the skin. Between 1990–1994, we have fitted these prostheses to a total of 109 patients. In evaluating the colour-match of their prostheses, 84% of the patients fitted with hand prostheses and 78% of those fitted with finger prostheses had a good to excellent match. This paper discusses some of the challenges we face in colour-matching hand and finger prostheses in the Asian population.

Buoyant formation number of a starting buoyant jet

2009 ◽  
Vol 21 (12) ◽  
pp. 125104 ◽  
Author(s):  
Ruo-Qian Wang ◽  
Adrian Wing-Keung Law ◽  
E. Eric Adams ◽  
Oliver B. Fringer
Keyword(s):  
Buoyant Jet ◽  
Formation Number
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