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INCOMPRESSIBLE FLOW SIMULATIONS: VERIFICATION AND VALIDATION

George Em Karniadakis and Spencer J. Sherwin

in Spectral/hp Element Methods for Computational Fluid Dynamics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.003.0009
Subject:
Mathematics, Numerical Analysis

This chapter discusses numerical simulations of the incompressible Navier-Stokes equations. Exact Navier-Stokes solutions are presented that are used as benchmarks to validate new codes and evaluate ... More


Density Stratification

Gary A. Glatzmaier

in Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the effects of large variations in density with depth, that is, density stratification. It first describes anelastic models for 2D cartesian box and 2D cylindrical annulus ... More


Nonlinear Structure and Halo Formation

Abraham Loeb and Steven R. Furlanetto

in The First Galaxies in the Universe

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691144917
eISBN:
9781400845606
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144917.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter studies the evolution of perturbations in the nonlinear regime. It focuses for the most part on analytic models that shed light on the physical processes involved. The advent of computer ... More


Relaxation Processes in Micromagnetics

Harry Suhl

Published in print:
2007
Published Online:
January 2010
ISBN:
9780198528029
eISBN:
9780191713545
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528029.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Electrons in solids behave like microscopic bar magnets, and in certain solids these align to produce macroscopic magnetizations. This book deals with the dynamics of this magnetization field. It ... More


The role of numerical simulations

P. A. Davidson

in Turbulence: An Introduction for Scientists and Engineers

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198722588
eISBN:
9780191789298
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198722588.003.0007
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

Chapter 7 discusses the role of numerical simulations in turbulence. The emphasis is on the new physical insights these numerical experiments have yielded, as well as some of the limitations of ... More


Introduction

J. N. REDDY

in An Introduction to Nonlinear Finite Element Analysis

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

One of the most important thing engineers and scientists do is to model natural phenomena. They develop conceptual and mathematical models to simulate physical events, whether they are aerospace, ... More


Introduction to molecular simulations in soft matter

J.-L. Barrat and J. J. de Pablo

in Soft Interfaces: Lecture Notes of the Les Houches Summer School: Volume 98, July 2012

Published in print:
2017
Published Online:
November 2017
ISBN:
9780198789352
eISBN:
9780191831201
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789352.003.0011
Subject:
Physics, Soft Matter / Biological Physics

We describe the main features of the coarse-grained models that are typically useful in modelling soft interfaces, from force fields to the continuum descriptions involving density fields. We explain ... More


Perturbations and generalized solutions

Rafal Goebel, Ricardo G. Sanfelice, and Andrew R. Teel

in Hybrid Dynamical Systems: Modeling, Stability, and Robustness

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153896
eISBN:
9781400842636
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153896.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter discusses the effect of state perturbations on solutions to a hybrid system. It shows that state perturbations, of arbitrarily small size, can dramatically change the behavior of ... More


Least-Squares Finite Element Models of Flows of Viscous Incompressible Fluids

J. N. Reddy

in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

Published in print:
2014
Published Online:
June 2015
ISBN:
9780199641758
eISBN:
9780191789557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641758.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

This chapter develops finite element formulations for flows of viscous incompressible fluids using high-order spectral/hp finite element technology and least-squares finite element formulation. The ... More


Mainstays of Nanoscale Research

Anne Marcovich and Terry Shinn

in Toward a New Dimension: Exploring the Nanoscale

Published in print:
2014
Published Online:
November 2014
ISBN:
9780198714613
eISBN:
9780191782923
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198714613.003.0002
Subject:
Physics, History of Physics

Nanoscale scientific research suddenly arose during the 1980s and 1990s. It now constitutes an immense worldwide research domain. It is based on the invention of scanning probe microscopy and ... More


The length scales of dynamic heterogeneity: results from molecular dynamics simulations

Peter Harrowell

in Dynamical Heterogeneities in Glasses, Colloids, and Granular Media

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199691470
eISBN:
9780191729799
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691470.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Over times shorter than that required for relaxation of enthalpy, a liquid can exhibit striking heterogeneities. The picture of these heterogeneities is complex with transient patches of rigidity, ... More


Lattice Boltzmann for Turbulent Flows

Sauro Succi

in The Lattice Boltzmann Equation: For Complex States of Flowing Matter

Published in print:
2018
Published Online:
June 2018
ISBN:
9780199592357
eISBN:
9780191847967
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199592357.003.0020
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

This chapter presents the main ideas behind the application of LB methods to the simulation of turbulent flows. The attention is restricted to the case of direct numerical simulation, in which all ... More


The shape of optimal income tax schedule: numerical simulations with income effects

Matti Tuomala

in Optimal Redistributive Taxation

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198753414
eISBN:
9780191815058
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198753414.003.0005
Subject:
Economics and Finance, Public and Welfare, Financial Economics

The special cases considered in Chapter 4 yield insights, but within the framework of the assumptions made. How robust are these insights? What happens when we move away from quasi-linearity? On the ... More


Naked Singularities

Pankaj S. Joshi

in The Story of Collapsing Stars: Black Holes, Naked Singularities, and the Cosmic Play of Quantum Gravity

Published in print:
2015
Published Online:
January 2015
ISBN:
9780199686766
eISBN:
9780191766817
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199686766.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

When the collapse of massive stars is studied in some detail, it is discovered that visible or naked singularities do occur in gravitational collapse quite naturally once we use physically realistic ... More


Worlds of Nanophysics

Anne Marcovich and Terry Shinn

in Toward a New Dimension: Exploring the Nanoscale

Published in print:
2014
Published Online:
November 2014
ISBN:
9780198714613
eISBN:
9780191782923
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198714613.003.0003
Subject:
Physics, History of Physics

The introduction of scanning probe microscopy to scientific research sparked a “gold rush” over the next fifteen years in which hundreds and then thousands of publications were produced on nano ... More


Dielectric Properties of Blood and Blood Components

Yoshihito Hayashi and Koji Asami

in Dielectric Relaxation in Biological Systems: Physical Principles, Methods, and Applications

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199686513
eISBN:
9780191766398
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199686513.003.0014
Subject:
Physics, Soft Matter / Biological Physics

An overview of dielectric spectroscopy (DS) studies for erythrocytes, blood coagulation, and leukocytes is provided. Cell suspensions and whole blood show the main dielectric response in the MHz ... More


General Introduction and Mathematical Preliminaries

J. N. Reddy

in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

Published in print:
2014
Published Online:
June 2015
ISBN:
9780199641758
eISBN:
9780191789557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641758.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter explains the development of mathematical models and numerical evaluation of the mathematical models using the finite element method. It also discusses nonlinear analysis and some ... More


Joint Determination of the Generosity of the Welfare State and Migration

Assaf Razin, Efraim Sadka, and Benjarong Suwankiri

in Migration and the Welfare State: Political-Economy Policy Formation

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262016100
eISBN:
9780262298377
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262016100.003.0004
Subject:
Political Science, Political Economy

This chapter investigates the politico-economic determination of the welfare state generosity, along with the volume and skill composition of migration. The investigation examines the restricted- and ... More


An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

J. N. Reddy

Published in print:
2014
Published Online:
June 2015
ISBN:
9780199641758
eISBN:
9780191789557
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641758.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

The development of realistic mathematical models that govern the response of systems or processes is strongly connected to the ability to translate them into meaningful discrete models that allow for ... More


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