How Important Is the Physical Interpretation and the Role of the Model User in Urban Flooding Simulation?

The most general solution to the Einstein equations in 4 = 3 + 1 dimensions in the asymptotic limit close to the cosmological singularity under the BKL (Belinskii–Khalatnikov–Lifshitz) hypothesis can be visualized by the behavior of a billiard ball in a triangular domain on the Upper Poincaré Half Plane (UPHP). The billiard system (named "big billiard") can be schematized by dividing the successions of trajectories according to Poincaré return map on the sides of the billiard table, according to the paradigms implemented by the BKL investigation and by the CB–LKSKS (Chernoff–Barrow–Lifshitz–Khalatnikov–Sinai–Khanin–Shchur) one. Different maps are obtained, according to different symmetry-quotienting mechanisms used to analyze the dynamics. In the inhomogeneous case, new structures have been uncovered, such that, in this framework, the billiard table (named "small billiard") consists of 1/6 of the previous one. The connections between the symmetry-quotienting mechanisms are further investigated on the UPHP. The relation between the complete billiard and the small billiard are also further explained according to the role of Weyl reflections. The quantum properties of the system are sketched as well, and the physical interpretation of the wave function is further developed. In particular, a physical interpretation for the symmetry-quotienting maps is proposed.

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Hydroinformatics in multi-colours—part red: urban flood and disaster management

Journal of Hydroinformatics ◽

10.2166/hydro.2009.027 ◽

2009 ◽

Vol 11 (3-4) ◽

pp. 166-180 ◽

Cited By ~ 20

Author(s):

Arthur E. Mynett ◽

Zoran Vojinovic

Keyword(s):

Disaster Management ◽

Millennium Development Goals ◽

Environmental Science ◽

Urban Flooding ◽

Urban Flood ◽

Niagara Falls ◽

The Past ◽

Development Goals

Hydroinformatics found its origin in the advancement of computational hydraulics in the early 1990s but has expanded considerably, both in scope and in application areas. It is now not only being applied in the fields of hydraulics and hydrology (often indicated by the colour blue), but also in environmental science and technology (green) as well as in knowledge systems and knowledge management (yellow). This paper focuses on urban (red) applications of hydroinformatics, taking urban flood and disaster management as an example. It is part of a sequence of papers, each focusing on a particular field (colour) of hydroinformatics, which together constitute a multi-coloured rainbow of application areas that hydroinformatics has expanded into over the past two decades or so. The combined papers on “Hydroinformatics in multi-colours” were presented as the opening keynote of the Workshop on Advances in Hydroinformatics held in Niagara Falls, in June 2007. In this paper—part red of the sequence—the role of urban hydroinformatics in assessing effects of climate change on urban flooding and health risk is addressed in relation to the UN Millennium Development Goals and illustrated on a case study of Dhaka, Bangladesh.

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The Role of Stitch Yarn on the Delamination Resistance in Non-crimp Fabric: Chemical and Physical Interpretation

Journal of Materials Engineering and Performance ◽

10.1007/s11665-016-2460-2 ◽

2017 ◽

Vol 26 (3) ◽

pp. 978-986 ◽

Cited By ~ 11

Author(s):

Marcos Yutaka Shiino ◽

Tatiane Scarabel Pelosi ◽

Maria Odila Hilário Cioffi ◽

Mauricio Vicente Donadon

Keyword(s):

Physical Interpretation ◽

Delamination Resistance

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The Effect of Depression on Somatic Symptoms: The Mediating Role of Physical Interpretation

Korean Journal of Health Psychology ◽

10.17315/kjhp.2008.13.4.005 ◽

2008 ◽

Vol 13 (4) ◽

pp. 907-921 ◽

Cited By ~ 1

Author(s):

박준호 ◽

김서영 ◽

이소영 ◽

JUNG HAN YONG

Keyword(s):

Physical Interpretation ◽

Somatic Symptoms ◽

Mediating Role

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The elastic theory of shells using geometric algebra

Royal Society Open Science ◽

10.1098/rsos.170065 ◽

2017 ◽

Vol 4 (3) ◽

pp. 170065 ◽

Cited By ~ 3

Author(s):

A. L. Gregory ◽

J. Lasenby ◽

A. Agarwal

Keyword(s):

Angular Velocity ◽

Coordinate System ◽

Physical Interpretation ◽

Geometric Algebra ◽

Elastic Theory ◽

Free Form ◽

Linearized Theory ◽

Theory Of Shells

We present a novel derivation of the elastic theory of shells. We use the language of geometric algebra, which allows us to express the fundamental laws in component-free form, thus aiding physical interpretation. It also provides the tools to express equations in an arbitrary coordinate system, which enhances their usefulness. The role of moments and angular velocity, and the apparent use by previous authors of an unphysical angular velocity, has been clarified through the use of a bivector representation. In the linearized theory, clarification of previous coordinate conventions which have been the cause of confusion is provided, and the introduction of prior strain into the linearized theory of shells is made possible.

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Energy and Entropy in Turbulence Decompositions

10.20944/preprints201811.0619.v1 ◽

2018 ◽

Author(s):

Václav Uruba

Keyword(s):

Proper Orthogonal Decomposition ◽

Physical Interpretation ◽

Decomposition Methods ◽

Orthogonal Decomposition ◽

Efficiency Evaluation ◽

Reduced Order ◽

Energy Concept ◽

Velocity Flow ◽

Proper Orthogonal

The role of energy and entropy in decomposition of turbulent velocity flow-fields is to be shown in the paper. The decomposition methods based on energy concept are taken into account, namely the Proper Orthogonal Decomposition (POD) and its extension Bi-Orthogonal Decomposition (BOD). Entropy motivated view on the decomposed modes could offer new possibilities in the modes physical interpretation and in Reduced Order Modelling (ROM) strategy efficiency evaluation.

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The physical interpretation of entity-structure

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100035659 ◽

1961 ◽

Vol 57 (3) ◽

pp. 589-605 ◽

Cited By ~ 1

Author(s):

D. J. Newman

Keyword(s):

Physical Interpretation ◽

General Purpose ◽

Algebraic Structures ◽

Theoretical Physicist ◽

The Subject ◽

Physical Laws ◽

Insight Into

Several recent papers (Bastin and Kilmister(1),(2); Newman(3),(4)) have made the role of algebraic structures in physics the subject of detailed discussion. The general purpose of this work has not been to discover new physical laws or predict new results, but rather to give the theoretical physicist some further insight into the significance of familiar concepts. This is, of course, being done in the hope that it will lead to new refinements in our theoretical techniques.

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Perturbative and Non-Pertrubative Trace Anomalies

Symmetry ◽

10.3390/sym13071292 ◽

2021 ◽

Vol 13 (7) ◽

pp. 1292

Author(s):

Loriano Bonora

Keyword(s):

Physical Interpretation ◽

Gauge Potential ◽

Main Body ◽

Perturbative Approach ◽

Diffeomorphism Invariance ◽

Trace Anomaly ◽

Specific Formula ◽

Definition Of ◽

Weyl Fermions

We study the definition of trace anomalies for models of Dirac and Weyl fermions coupled to a metric and a gauge potential. While in the non-perturbative case the trace anomaly is the response of the effective action to a Weyl transformation, the definition in a perturbative approach is more involved. In the latter case, we use a specific formula proposed by M.Duff, of which we present a physical interpretation. The main body of the paper consists in deriving trace anomalies with the above formula and comparing them with the corresponding non-perturbative results. We show that they coincide and stress the basic role of diffeomorphism invariance for the validity of the approach.

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