## A Model of Rayleigh-Bénard Convection

*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/9780691141725.003.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter presents a model of Rayleigh–Bénard convection. It first describes the fundamental dynamics expected in a fluid that is convectively stable and in one that is convectively unstable, ... More

## INTRODUCTION

*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/9780198528692.003.0001
- Subject:
- Mathematics, Numerical Analysis

This chapter presents reduced models of the compressible and incompressible Navier-Stokes equations which are used in the various discretization concepts discussed in the rest of the book. The ... More

## SAM EDWARDS AND THE TURBULENCE THEORY

*Katepalli R. Sreenivasan and Gregory L. Eyink*

### in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198528531
- eISBN:
- 9780191713415
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528531.003.0006
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The contributions of Sam Edwards to field-theoretic methods in the statistical theory of turbulent fluid dynamics are briefly assessed in this chapter and connected to later developments in the ... More

## The physics of animal locomotion

*Christoffer L. Johansson, Florian T. Muijres, and Anders Hedenström*

### in Animal Movement Across Scales

- Published in print:
- 2014
- Published Online:
- November 2014
- ISBN:
- 9780199677184
- eISBN:
- 9780191785696
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199677184.003.0013
- Subject:
- Biology, Animal Biology, Ecology

In this chapter the physics behind animal movement, the adaptations found in locomotion to generate forces, and the mechanisms reducing the cost of transport are discussed. The ability to minimize ... More

## Finite‐Difference Methods for Continuous‐Time Dynamic Programming

*Graham V. Candler*

### in Computational Methods for the Study of Dynamic Economies

- Published in print:
- 2001
- Published Online:
- November 2003
- ISBN:
- 9780199248278
- eISBN:
- 9780191596605
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199248273.003.0008
- Subject:
- Economics and Finance, Macro- and Monetary Economics

Introduces some of the methods and underlying ideas behind computational fluid dynamics—in particular, the use is discussed of finite‐difference methods for the simulation of dynamic economies. A ... More

## Fluid Dynamics: Part 1: Classical Fluid Dynamics

*Anatoly I. Ruban and Jitesh S. B. Gajjar*

- Published in print:
- 2014
- Published Online:
- August 2014
- ISBN:
- 9780199681730
- eISBN:
- 9780191761607
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199681730.001.0001
- Subject:
- Physics, Soft Matter / Biological Physics

This book, the first of a four-part series on fluid dynamics, consists of four chapters on classical theory suitable for an introductory undergraduate course. Chapter 1 discusses the continuum ... More

## Stokes’s Fundamental Contributions to Fluid Dynamics

*Peter Lynch*

### in George Gabriel Stokes: Life, Science and Faith

- Published in print:
- 2019
- Published Online:
- August 2019
- ISBN:
- 9780198822868
- eISBN:
- 9780191861321
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198822868.003.0006
- Subject:
- Mathematics, History of Mathematics

George Gabriel Stokes made fundamental mathematical contributions to fluid dynamics that had profound practical consequences. The basic equations formulated by him play a central role in numerical ... More

## The Air as an Ideal Fluid: Hydrodynamics and the Foundations of Aerodynamics

*David Bloor*

### in The Enigma of the Aerofoil: Rival Theories in Aerodynamics, 1909-1930

- Published in print:
- 2011
- Published Online:
- September 2013
- ISBN:
- 9780226060941
- eISBN:
- 9780226060934
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226060934.003.0003
- Subject:
- History, History of Science, Technology, and Medicine

This chapter discusses fluid dynamics and how it provided the intellectual resources that were common to both the British and German work on lift and drag, although the stance toward that common ... More

## Translational Dynamics and Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR

*Paul T. Callaghan*

- Published in print:
- 2011
- Published Online:
- December 2013
- ISBN:
- 9780199556984
- eISBN:
- 9780191774928
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199556984.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials, Nuclear and Plasma Physics

In 1950, Erwin Hahn pointed out that spin echoes in Nuclear Magnetic Resonance (NMR) could be used to measure molecular translational motion, an effect made possible because nuclear spins carry a ... More

## Physical Hydrodynamics, 2nd Edn

*Etienne Guyon, Jean-Pierre Hulin, Luc Petit, and Catalin D. Mitescu*

- Published in print:
- 2015
- Published Online:
- March 2015
- ISBN:
- 9780198702443
- eISBN:
- 9780191772153
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198702443.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This new edition is an enriched version of the textbook of fluid dynamics published more than 10 years ago. It retains the same physically oriented pedagogical perspective. This book emphasizes, as ... More

## George Gabriel Stokes: Life, Science and Faith

*Mark McCartney, Andrew Whitaker, and Alastair Wood (eds)*

- Published in print:
- 2019
- Published Online:
- August 2019
- ISBN:
- 9780198822868
- eISBN:
- 9780191861321
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198822868.001.0001
- Subject:
- Mathematics, History of Mathematics

George Gabriel Stokes was one of the most significant mathematicians and natural philosophers of the nineteenth century. Serving as Lucasian professor at Cambridge he made wide-ranging contributions ... More

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

*Sauro Succi*

- Published in print:
- 2018
- Published Online:
- June 2018
- ISBN:
- 9780199592357
- eISBN:
- 9780191847967
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199592357.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

Over the past near three decades, the Lattice Boltzmann method has gained a prominent role as an efficient computational method for the numerical simulation of a wide variety of complex states of ... More

## Barotropic aspects of large-scale atmospheric turbulence

*Theodore G. Shepherd*

### in Fundamental Aspects of Turbulent Flows in Climate Dynamics: Lecture Notes of the Les Houches Summer School: Volume 109, August 2017

- Published in print:
- 2020
- Published Online:
- March 2020
- ISBN:
- 9780198855217
- eISBN:
- 9780191889172
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198855217.003.0004
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics

The chapter begins with a phenomenological treatment of the observed atmospheric circulation. It then goes on to discuss how the barotropic model arises as a so-calledbalanced model of the slow, ... More

## Biomedical Fluid Dynamics: Flow and Form

*Troy Shinbrot*

- Published in print:
- 2019
- Published Online:
- June 2019
- ISBN:
- 9780198812586
- eISBN:
- 9780191850721
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198812586.001.0001
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This book provides an overview of fundamental methods and advanced topics associated with complex, especially biological, fluids. The contents are taken from a graduate level course taught to ... More

## Geophysical Fluid Dynamics: Understanding (almost) everything with rotating shallow water models

*Vladimir Zeitlin*

- Published in print:
- 2018
- Published Online:
- April 2018
- ISBN:
- 9780198804338
- eISBN:
- 9780191842627
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198804338.001.0001
- Subject:
- Physics, Geophysics, Atmospheric and Environmental Physics

The book explains the key notions and fundamental processes in the dynamics of the fluid envelopes of the Earth (transposable to other planets), and methods of their analysis, from the unifying ... More

## Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time

*Philip Isett*

- Published in print:
- 2017
- Published Online:
- October 2017
- ISBN:
- 9780691174822
- eISBN:
- 9781400885428
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691174822.001.0001
- Subject:
- Mathematics, Computational Mathematics / Optimization

Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if ... More

## Computational cosmology

*Romain Teyssier*

### in Post-Planck Cosmology: Lecture Notes of the Les Houches Summer School: Volume 100, July 2013

- Published in print:
- 2015
- Published Online:
- March 2015
- ISBN:
- 9780198728856
- eISBN:
- 9780191795794
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198728856.003.0011
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter gives an introduction to the main concepts of computational cosmology. It describes the equations governing the nonlinear dynamics of self-gravitating fluids evolving in the expanding ... More

## LBE in the Framework of Computational-Fluid Dynamics

*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/9780199592357.003.0016
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

This chapter outlines the main properties of LB as a numerical scheme within the general framework of computational fluid dynamics (CFD). The matter has witnessed significant developments in the past ... More

## Toward New Conventions for Visualizing Blood Flow in the Era of Fascination with Visibility and Imagery

*Dolores Heidenreich and David Steinman*

### in Imagery in the 21st Century

- Published in print:
- 2011
- Published Online:
- August 2013
- ISBN:
- 9780262015721
- eISBN:
- 9780262315159
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262015721.003.0008
- Subject:
- Society and Culture, Media Studies

This chapter discusses the biomedical image concept, i.e., the role of imaging technology in the medical field; it also focuses on inventions and the challenges involved in medical imaging from ... More

## Out of Legoland: Geoflexible Lattice Boltzmann Equations

*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/9780199592357.003.0023
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

The LBEs discussed to this point lag behind “best in class” Computational Fluid Dynamics (CFD) methods for the simulation of fluid flows in realistically complicated geometries, such as those ... More