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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


Postprocessing

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/9780691141725.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter explains how to write a postprocessing code, and more specifically how to study the nonlinear simulations using computer graphics and analysis. It first considers how to compute and ... More


Pressure‐Driven Microfluidics

Scott Miserendino and Yu‐Chong Tai

in Micro/Nano Technology Systems for Biomedical Applications: Microfluidics, Optics, and Surface Chemistry

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199219698
eISBN:
9780191594229
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219698.003.0004
Subject:
Mathematics, Mathematical Biology

Pressure-force-driven microfluidics is the foundation for volumetric scaling into the micro regime and, hence, for unique functionalities unachievable by macro-sized devices. The physics that govern ... More


Locomotion at low Reynolds numbers

Anette E. Hosoi

in New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: Volume 92, July 2009

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199605835
eISBN:
9780191729522
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199605835.003.0001
Subject:
Physics, Soft Matter / Biological Physics

This chapter presents three lectures intended as an introduction to locomotion at low Reynolds numbers. It covers swimming, crawling, and burrowing. For those who desire a more in-depth treatment, ... More


Flows at Low Reynolds Number

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

in Physical Hydrodynamics, 2nd Edn

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198702443
eISBN:
9780191772153
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702443.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Flows at low Reynolds numbers (Re) are characterized by the dominance of viscosity and are encountered in small channels, at low flow velocities and for very viscous fluids. The linear Stokes ... More


Kolmogorov’s (1941) theory revisited

W. David McComb

in Homogeneous, Isotropic Turbulence: Phenomenology, Renormalization and Statistical Closures

Published in print:
2014
Published Online:
April 2014
ISBN:
9780199689385
eISBN:
9780191768255
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199689385.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

By restricting our attention in this book to HIT, we have ruled out effects due to mean shear, system rotation, density stratification; and so on. This leaves us with a stark choice: deviation from ... More


Momentum Transport Under Various Flow Conditions

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

in Physical Hydrodynamics, 2nd Edn

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198702443
eISBN:
9780191772153
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702443.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The linear momentum of a moving fluid can be transported, like thermal energy or solute concentration, simultaneously by diffusion and convection: an important difference in these latter cases is ... More


Intermezzo: Effects of Increasing Reynolds Number

Troy Shinbrot

in Biomedical Fluid Dynamics: Flow and Form

Published in print:
2019
Published Online:
June 2019
ISBN:
9780198812586
eISBN:
9780191850721
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198812586.003.0007
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Effects of increasing fluid speed are analyzed. The Bernouilli and vorticity equations are derived, and the method of matching solutions is described for the Rankine vortex. Cases in which rotational ... More


Inviscid Flows

Troy Shinbrot

in Biomedical Fluid Dynamics: Flow and Form

Published in print:
2019
Published Online:
June 2019
ISBN:
9780198812586
eISBN:
9780191850721
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198812586.003.0008
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Remarkable changes in drag are described as fluid speed is increased, and methods to reduce drag at high speed are described. The Stokes paradox is considered, as are the effects of Reynolds number ... More


Flows at Moderate Reynolds Numbers

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/9780199592357.003.0018
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

This chapter presents the application of LBE to flows at moderate Reynolds numbers, typically hundreds to thousands. This is an important area of theoretical and applied fluid mechanics, one that ... More


The biomechanics of living in and on water

Jill Lancaster and Barbara J. Downes

in Aquatic Entomology

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199573219
eISBN:
9780191774850
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573219.003.0005
Subject:
Biology, Aquatic Biology, Animal Biology

This chapter first discusses some of the physical properties of water, including viscosity, water pressure, and the surface films formed between water and air. With these principles in mind, it then ... More


Movement in Water

Andrew A. Biewener and Shelia N. Patek (eds)

in Animal Locomotion

Published in print:
2018
Published Online:
May 2018
ISBN:
9780198743156
eISBN:
9780191803031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198743156.003.0005
Subject:
Biology, Animal Biology, Ecology

This chapter examines how the physical properties of water influence and explain the great diversity of swimming performance and mechanisms - from the scale of spermatozoa on up to whales. The key ... 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


What Makes Some Reducible Physical Properties Explanatory?

Marc Lange

in Because Without Cause: Non-Causal Explanations in Science and Mathematics

Published in print:
2016
Published Online:
December 2016
ISBN:
9780190269487
eISBN:
9780190269500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190269487.003.0011
Subject:
Philosophy, Philosophy of Science, General

This concluding chapter highlights connections among various species of non-causal scientific explanation (including both explanations by constraint and dimensional explanations) and their ... More


Introduction

Anatoly I. Ruban

in Fluid Dynamics: Part 3 Boundary Layers

Published in print:
2017
Published Online:
January 2018
ISBN:
9780199681754
eISBN:
9780191761621
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199681754.003.0001
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This book investigates high-Reynolds number flows, and analyses flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including Blasius’s boundary layer on a ... More


Viscous Flows

S. G. Rajeev

in Fluid Mechanics: A Geometrical Point of View

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198805021
eISBN:
9780191843136
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805021.003.0005
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Here some solutions of Navier–Stokes equations are found.The flow of a fluid along a pipe (Poisseuille flow) and that between two rotating cylinders (Couette flow) are the simplest. In the limit of ... 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


Trailing-Edge Flow

Anatoly I. Ruban

in Fluid Dynamics: Part 3 Boundary Layers

Published in print:
2017
Published Online:
January 2018
ISBN:
9780199681754
eISBN:
9780191761621
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199681754.003.0004
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

Chapter 3 focuses on the high-Reynolds number flow of an incompressible fluid near the trailing edge of a flat plate. It begins with Goldstein’s (1930) solution for a viscous wake behind the plate, ... More


Fluid Dynamics: Part 3 Boundary Layers

Anatoly I. Ruban

Published in print:
2017
Published Online:
January 2018
ISBN:
9780199681754
eISBN:
9780191761621
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199681754.001.0001
Subject:
Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials

This is Part 3 of a book series on fluid dynamics. This is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an ... More


Lattice Boltzmann Models without Underlying Boolean Microdynamics

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/9780199592357.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

Chapter 12 showed how to circumvent two major stumbling blocks of the LGCA approach: statistical noise and exponential complexity of the collision rule. Yet, the ensuing LB still remains connected to ... More


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