The real geometry of holomorphic four-metrics

2002 ◽  
Vol 43 (4) ◽  
pp. 2015-2028 ◽  
Author(s):  
D. C. Robinson
Keyword(s):  
The Real ◽  
Real Geometry

scholarly journals RESEARCH OF THE TENSELY-DEFORMED STATE OF ELEMENTS OF MOBILE HEAT STORAGE

2020 ◽  
Vol 42 (2) ◽  
pp. 68-75
Author(s):  
V.G. Demchenko ◽  
А.S. Тrubachev ◽  
A.V. Konyk
Keyword(s):  
Mathematical Model ◽  
Heat Storage ◽  
Quantitative Estimation ◽  
The Real ◽  
State Of The Union ◽  
Real Geometry ◽  
Deformed State ◽  
The Mathematical Model ◽  
Minimization Of Functional

Worked out methodology of determination of the tensely-deformed state of elements of mobile heat storage of capacity type, that works in the real terms of temperature and power stress on allows to estimate influence of potential energy on resilient deformation that influences on reliability of construction and to give recommendations on planning of tank (capacities) of accumulator. For determination possibly of possible tension of construction of accumulator kinematics maximum terms were certain. As a tank of accumulator shows a soba the difficult geometrical system, the mathematical model of calculation of coefficient of polynomial and decision of task of minimization of functional was improved for determination of tension for Міzеs taking into account the real geometry of equipment. Conducted quantitative estimation of the tensely-deformed state of the union coupling, corps and bottom of thermal accumulator and the resource of work of these constructions is appraised. Thus admissible tension folds 225 МРа.

scholarly journals Resonance Vibration of Mistuned Bladed Discs in Stationary Operations

1997 ◽  
Author(s):  
Romuald Rządkowski
Keyword(s):  
Numerical Model ◽  
Compressible Flow ◽  
Two Dimensional ◽  
Rotating System ◽  
Response Level ◽  
Stationary Response ◽  
The Real ◽  
Disc Model ◽  
Real Geometry ◽  
Airfoil Blades

A numerical model for the calculation of resonance stationary response of mistuned bladed disc is presented. The bladed disc model includes all important effects on a rotating system of the real geometry. The excitation forces were calculated by a code on the basis of two-dimensional compressible flow (to M < 0.8) for thin airfoil blades. The calculations presented in this paper show that centrifugal stress, and the values of excitation forces, play an important role in considering the influence of mistuning on the response level.

The real geometry of complex space-times

1977 ◽  
Vol 16 (9) ◽  
pp. 663-670 ◽  
Author(s):  
Nicholas Woodhouse
Keyword(s):  
Complex Space ◽  
The Real ◽  
Real Geometry

scholarly journals Monodromy and K-theory of Schubert curves via generalized jeu de taquin

2020 ◽  
Vol DMTCS Proceedings, 28th... ◽  
Author(s):  
Maria Monks Gillespie ◽  
Jake Levinson
Keyword(s):  
Local Algorithm ◽  
Jeu De Taquin ◽  
Bijective Correspondence ◽  
One Dimensional ◽  
The Real ◽  
Real Locus ◽  
Real Geometry ◽  
International Audience ◽  
K Theory ◽  
Rational Normal Curve

International audience We establish a combinatorial connection between the real geometry and the K-theory of complex Schubert curves Spλ‚q, which are one-dimensional Schubert problems defined with respect to flags osculating the rational normal curve. In a previous paper, the second author showed that the real geometry of these curves is described by the orbits of a map ω on skew tableaux, defined as the commutator of jeu de taquin rectification and promotion. In particular, the real locus of the Schubert curve is naturally a covering space of RP1, with ω as the monodromy operator.We provide a fast, local algorithm for computing ω without rectifying the skew tableau, and show that certain steps in our algorithm are in bijective correspondence with Pechenik and Yong's genomic tableaux, which enumerate the K-theoretic Littlewood-Richardson coefficient associated to the Schubert curve. Using this bijection, we give purely combinatorial proofs of several numerical results involving the K-theory and real geometry of Spλ‚q.

Influence of the Real Geometry of the Laser Cut Front on the Absorbed Intensity and the Gas Flow

2018 ◽  
Vol 6 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Oliver Bocksrocker ◽  
Peter Berger ◽  
Florian Fetzer ◽  
Volker Rominger ◽  
Thomas Graf
Keyword(s):  
Gas Flow ◽  
The Real ◽  
Real Geometry

scholarly journals An Unsteady Momentum Source Method and Its Application in Simulation of Hovering Rotor

2020 ◽  
Vol 38 (3) ◽  
pp. 571-579
Author(s):  
Jiahao Guo ◽  
Zhou Zhou ◽  
Xu Li
Keyword(s):  
Numerical Simulation ◽  
Power Unit ◽  
Tip Vortex ◽  
Force Distribution ◽  
The Real ◽  
Source Method ◽  
Real Geometry ◽  
Unsteady Numerical Simulation ◽  
Solution Efficiency ◽  
The Revolution

The efficiency and accuracy of numerical simulation on power unit is the key to study the relevant aerodynamic layout with multiple rotating power units. However, the numerical simulation of the power unit using real geometry all faces the problem of low solution efficiency. Taking the rotor hovering state as an example, the real blade was firstly simplified and replaced by a thin mesh disk to establish the effective momentum source method. Then, using fan-shaped mesh region that changes with time to replace real blade and simulate the rotation, the unsteady momentum source method which could get the revolution of tip vortex was proposed. The results show that the momentum source method with the input of accurate blade force distribution can simulate rotor wake better, and the influence that blade geometry acts on wake mainly reflects in the blade force distribution. In addition, the unsteady momentum source method can simulate the revolution of tip vortex, and its consumptions of computing resources and calculation time are only about 1/8 of the unsteady numerical simulation based on the real geometry.

Parametric modeling based on the real geometry of glass fiber unidirectional non-crimp fabric

2019 ◽  
Vol 89 (19-20) ◽  
pp. 3949-3959 ◽  
Author(s):  
Weili Wu ◽  
Wei Li
Keyword(s):  
Glass Fiber ◽  
Cell Model ◽  
Geometric Model ◽  
3D Models ◽  
Parametric Modeling ◽  
Scale Model ◽  
Cross Sectional ◽  
The Real ◽  
Real Geometry ◽  
Meso Scale

Meso-structure modeling of fiber reinforcement is a critical step for predictions of the manufacturing process and mechanical properties of composites. In the work reported in this paper, a meso-scale model based on the real geometry of glass fiber non-crimp fabric (NCF) was developed, and an attempt for the parametric modeling has been made. First, the buckling of warp yarns due to the tension of stitching yarn has been considered, and the buckling can be described by a curve equation. In addition, cross-sectional characterizations of warp and weft yarns were studied via metallographic observations, and 3D models have been constructed. Second, the path of the polyester stitching yarn was extracted by the tracer fiber technique and fitted by the B-spline spline curve; this trace can be can be simplified to several equations in Matlab. Finally, the unit cell model has been assembled and the penetration has been checked for each component. In this study, a meso-scale model of NCF was accurately established which truly reflects the relationship among geometry and position of yarns, providing a precise geometric model for further study on compressive deformation and permeability prediction of NCF in the future.

scholarly journals Image-based processing simulation of shock wave propagation through the area of ionization instability

2021 ◽  
Vol 2127 (1) ◽  
pp. 012013
Author(s):  
V Kravchenko ◽  
O A Azarova ◽  
T A Lapushkina
Keyword(s):  
Experimental Data ◽  
Shock Wave ◽  
Image Processing ◽  
Wave Propagation ◽  
Digital Processing ◽  
Source Model ◽  
Navier Stokes ◽  
Automatic Method ◽  
The Real ◽  
Real Geometry

Abstract A partially automatic method of digital processing images (photographs, shadow and Schlieren pictures) for the analysis of experimental data is proposed. The method is utilized to investigate the effect of the region of ionization instability created by a glow gas discharge on the front of an initially flat shock wave. The proposed method is based on a composition of simple image processing operations and makes it possible to perform simulations taking into account the real geometry of the ionization strata and the shape of the front of a shock wave based on the obtained experimental images. First, as a result of digital processing the geometry of experimental objects is extracted from the images. This information is then embedded in the Navier-Stokes code for conducting simulations. New results for the real geometry of ionization strata of different scales are presented which confirmed the previous ones obtained for the density homogeneously stratified source model.

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