Linearized Two-Dimensional Fluid Transients

1984 ◽  
Vol 106 (2) ◽  
pp. 227-232 ◽  
Author(s):  
E. B. Wylie
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Low Velocity ◽  
Flow Problems ◽  
Spatial Dimensions ◽  
Dimensional Space Time ◽  
Fluid Transients ◽  
Explicit Procedure ◽  
The One

A numerical analysis of low-velocity two-dimensional transient fluid flow problems is presented. The method is similar in concept to the one-dimensional method of characteristics, but does not follow the traditional characteristics theory for two spatial dimensions. Distinct paths are defined in the three-dimensional space-time domain along which compatibility equations are integrated. The explicit procedure is explained, and validated by comparisons with analytical solutions.

scholarly journals Two and Three-Dimensional Fluid Transients

1968 ◽  
Vol 90 (4) ◽  
pp. 501-509 ◽  
Author(s):  
V. L. Streeter ◽  
E. B. Wylie
Keyword(s):  
Transient Flow ◽  
Three Dimensional ◽  
Low Velocity ◽  
Irregular Boundary ◽  
Flow Equations ◽  
Flow Problems ◽  
Fluid Transients ◽  
The One ◽  
Irregular Boundary Conditions ◽  
The Continuum

The paper presents an approach for the analysis of low-velocity two and three-dimensional transient fluid-flow problems. The method assumes the continuum can be represented by a latticework of piping elements and that motion in the continuum can be described by solving the one-dimensional transient flow equations in the piping elements. The approach offers the advantage of being able to handle unusual and irregular boundary conditions, fixed or moveable, but restricted to the limitation of low Mach number. Undesirable grid characteristics are identified and comparisons with known hydrodynamic solutions are presented.

Multidimensional Fluid Transients by Latticework

1980 ◽  
Vol 102 (2) ◽  
pp. 203-209 ◽  
Author(s):  
E. B. Wylie ◽  
V. L. Streeter
Keyword(s):  
Transient Flow ◽  
Three Dimensional ◽  
Low Velocity ◽  
Flow Equations ◽  
Flow Problems ◽  
Fluid Transients ◽  
Physical Response ◽  
The One ◽  
Line Elements ◽  
The Continuum

An evaluation of a discretized method of analysis for low-velocity two and three-dimensional transient fluid-flow problems is presented. The method assumes the continuum can be represented by a latticework of flow elements and that the physical response in the continuum can be determined by solving the one-dimensional transient flow equations in the line elements. The approach is explained, and validated by presenting comparisons between numerical and analytical hydrodynamic solutions.

scholarly journals GENERALIZED 2-D BF MODEL QUANTIZED IN THE AXIAL GAUGE

2000 ◽  
Vol 15 (07) ◽  
pp. 483-497
Author(s):  
R. LEITGEB ◽  
J. RANT ◽  
M. SCHWEDA ◽  
H. ZERROUKI
Keyword(s):  
Perturbation Theory ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Renormalization Procedure ◽  
Matter Coupling ◽  
Axial Gauge ◽  
Gauge Fixing ◽  
Dimensional Space Time ◽  
Topological Matter

We discuss the uv finiteness of the two-dimensional BF model coupled to topological matter quantized in the axial gauge. This noncovariant gauge fixing avoids the ir problem in the two-dimensional space–time. The BF model together with the matter coupling is obtained by dimensional reduction of the ordinary three-dimensional BF model. This procedure furnishes the usual linear vector supersymmetry and an additional scalar supersymmetry. The whole symmetry content of the model allows one to apply the standard algebraic renormalization procedure which we use to prove that this model is uv finite and anomaly free to all orders of perturbation theory.

scholarly journals A-topology for Minkowski space

1979 ◽  
Vol 21 (1) ◽  
pp. 53-64 ◽  
Author(s):  
Sribatsa Nanda
Keyword(s):  
Minkowski Space ◽  
Dimensional Space ◽  
Three Dimensional ◽  
One Dimensional ◽  
Group Of Homeomorphisms ◽  
Dimensional Space Time ◽  
The One ◽  
Induced Topology ◽  
Time Continuum ◽  
Inhomogeneous Lorentz Group

AbstractWe consider in this paper a topology (which we call the A-topology) on Minkowski space, the four-dimensional space–time continuum of special relativity and derive its group of homeomorphisms. We define the A-topology to be the finest topology on Minkowski space with respect to which the induced topology on time-like and light-like lines is one-dimensional Euclidean and the induced topology on space-like hyperplanes is three- dimensional Euclidean. It is then shown that the group of homeomorphisms of this topology is precisely the one generated by the inhomogeneous Lorentz group and the dilatations.

scholarly journals Kajian Bentuk Visual Iklan (Studi Kasus Iklan Oreo Versi Bayangkan Kuberi Oreo Saat Ramadhan)

2016 ◽  
Vol 2 (02) ◽  
pp. 137-150
Author(s):  
Annas Marzuki Sulaiman
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Space Time ◽  
Two Dimensional ◽  
Advertising Campaign ◽  
Time Motion ◽  
Dimensional Space Time ◽  
Five Elements ◽  
The Moment ◽  
Three Dimensional Space

AbstrakTujuan dari penelitian ini adalah untuk mengetahui dan menganalisis bentuk visual dalam iklan Oreo versi “Bayangkan Kuberi Oreo Saat Ramadhan” di televisi dengan menggunakan pendekatan Estetika Media Terapan. Dari analisis yang telah dilakukan berdasarkan kontekstual visual iklan yang membagi elemen gambar menjadi lima elemen yaitu: cahaya dan warna, ruang dua-dimensi, ruang tiga-dimensi, waktu/gerakan, dan suara. Iklan Oreo “Versi Bayangkan Ku Beri Oreo Saat Ramadhan” menggambarkan bahwa Oreo sebagai brand yang sangat akrab dengan konsumen, menghadirkan momen Ramadhan yang istimewa dengan saling berbagi menikmati keajaiban dan membangkitkan kembali jiwa kanak-kanak. Pada akhir iklan terdapat adegan yang menunjukkan bahwa iklan Oreo versi ramadhan bagian dari kampanye iklan global yang sudah ada yaitu "Berbagi Keajaiban". Selain itu, Iklan Oreo Versi Ramadhan ini merupakan jenis pengingat (reminder advertising), tujuannya untuk memberitahu pelanggan tentang keberadaan merek oreo yang menawarkan karakteristik dan penggunaan yang sama. Kata Kunci: iklan, televisi, Oreo, Estetika, Ramadhan  AbstractThe purpose of this study was to determine and analyze the visual form in the Oreo ads version  “Imagine Me Give Oreo During Ramadhan" on television by using the approach of Applied Media Aesthetics. From the analysis has been done based on contextual visual ads that divides the picture elements of video ads in five elements namely: light and color, the space of two-dimensional, three-dimensional space, time/motion and sound. The Oreo ads version "Imagine Me Give Oreo During Ramadhan" illustrates that the Oreo as a brand is very familiar with the consumers, presenting the moment of Ramadan special by sharing experience the magic and rekindle the spirit of childhood. At the end of the ads is contained scenes show that this Ramadhan version Oreo ads is part of a global advertising campaign that already exists is "Sharing Miracles". In addition, this Ramadhan version Oreo ads is a kind reminder (reminders advertising), aim to inform customers about the existence of Oreo brand still offers characteristics, and the same usage. Keywords: advertising, television, Oreo, Aesthetic, Ramadhan

ON THE PHYSICAL PROPERTIES RELATED TO THE ALGEBRAIC STRUCTURE OF THE DIRAC EQUATION IN THREE-DIMENSIONAL SPACE–TIME

1998 ◽  
Vol 13 (09) ◽  
pp. 1523-1542
Author(s):  
C. A. LINHARES ◽  
JUAN A. MIGNACO
Keyword(s):  
Dirac Equation ◽  
Algebraic Structure ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Space Time ◽  
Four Dimensions ◽  
Dimensional Space Time ◽  
The One ◽  
Physical Consequences ◽  
Three Dimensional Space

We look for the physical consequences resulting from the SU(2) ⊗ SU(2) algebraic structure of the Dirac equation in three-dimensional space–time. We show how this is obtained from the general result we have proven relating the matrices of the Clifford–Dirac ring and the Lie algebra of unitary groups. It allows the introduction of a notion of chirality closely analogous to the one used in four dimensions. The irreducible representations for the Dirac matrices may be labelled with different chirality eigenvalues, and they are related through inversion of any single coordinate axis. We analyze the different discrete transformations for the space of solutions. Finally, we show that the spinor propagator is a direct sum of components with different chirality; the photon propagator receive separate contributions for both chiralities, and the result is that there is no generation of a topological mass at one-loop level. In the case of a charged particle in a constant "magnetic" field we have a good example where chirality plays a determinant role for the degeneracy of states.

Diffraction contrast of dislocations in icosahedral quasicrystals

1990 ◽  
Vol 48 (4) ◽  
pp. 454-455
Author(s):  
K. Urban ◽  
Z. Zhang ◽  
M. Wollgarten ◽  
D. Gratias
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Complete Characterization ◽  
Extinction Condition ◽  
Burgers Vector ◽  
Diffraction Contrast ◽  
Lattice Geometry ◽  
Reference Space ◽  
Icosahedral Quasicrystals ◽  
The One

Recently dislocations have been observed by electron microscopy in the icosahedral quasicrystalline (IQ) phase of Al65Cu20Fe15. These dislocations exhibit diffraction contrast similar to that known for dislocations in conventional crystals. The contrast becomes extinct for certain diffraction vectors g. In the following the basis of electron diffraction contrast of dislocations in the IQ phase is described. Taking account of the six-dimensional nature of the Burgers vector a “strong” and a “weak” extinction condition are found.Dislocations in quasicrystals canot be described on the basis of simple shear or insertion of a lattice plane only. In order to achieve a complete characterization of these dislocations it is advantageous to make use of the one to one correspondence of the lattice geometry in our three-dimensional space (R3) and that in the six-dimensional reference space (R6) where full periodicity is recovered . Therefore the contrast extinction condition has to be written as gpbp + gobo = 0 (1). The diffraction vector g and the Burgers vector b decompose into two vectors gp, bp and go, bo in, respectively, the physical and the orthogonal three-dimensional sub-spaces of R6.

scholarly journals Three-Dimensional Thematic Map Imaging of the Yacht Port on the Example of the Polish National Sailing Centre Marina in Gdańsk

2021 ◽  
Vol 11 (15) ◽  
pp. 7016
Author(s):  
Pawel S. Dabrowski ◽  
Cezary Specht ◽  
Mariusz Specht ◽  
Artur Makar
Keyword(s):  
Spatial Data ◽  
Convex Surface ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Future Research ◽  
Two Dimensional ◽  
Thematic Maps ◽  
Research Directions ◽  
Future Research Directions ◽  
The Many

The theory of cartographic projections is a tool which can present the convex surface of the Earth on the plane. Of the many types of maps, thematic maps perform an important function due to the wide possibilities of adapting their content to current needs. The limitation of classic maps is their two-dimensional nature. In the era of rapidly growing methods of mass acquisition of spatial data, the use of flat images is often not enough to reveal the level of complexity of certain objects. In this case, it is necessary to use visualization in three-dimensional space. The motivation to conduct the study was the use of cartographic projections methods, spatial transformations, and the possibilities offered by thematic maps to create thematic three-dimensional map imaging (T3DMI). The authors presented a practical verification of the adopted methodology to create a T3DMI visualization of the marina of the National Sailing Centre of the Gdańsk University of Physical Education and Sport (Poland). The profiled characteristics of the object were used to emphasize the key elements of its function. The results confirmed the increase in the interpretative capabilities of the T3DMI method, relative to classic two-dimensional maps. Additionally, the study suggested future research directions of the presented solution.

scholarly journals Hyperbolic Center of Mass for a System of Particles in a Two-Dimensional Space with Constant Negative Curvature: An Application to the Curved 2-Body Problem

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 531
Author(s):  
Pedro Pablo Ortega Palencia ◽  
Ruben Dario Ortiz Ortiz ◽  
Ana Magnolia Marin Ramirez
Keyword(s):  
Negative Curvature ◽  
Dimensional Space ◽  
Center Of Mass ◽  
Simple Expression ◽  
Two Dimensional ◽  
Constant Negative Curvature ◽  
Euclidean Case ◽  
System Of Particles ◽  
Material Points ◽  
The One

In this article, a simple expression for the center of mass of a system of material points in a two-dimensional surface of Gaussian constant negative curvature is given. By using the basic techniques of geometry, we obtained an expression in intrinsic coordinates, and we showed how this extends the definition for the Euclidean case. The argument is constructive and serves to define the center of mass of a system of particles on the one-dimensional hyperbolic sphere LR1.

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