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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


Spectral/hp Element Methods for Computational Fluid Dynamics

George Karniadakis and Spencer Sherwin

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528692
eISBN:
9780191713491
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528692.001.0001
Subject:
Mathematics, Numerical Analysis

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more ... More


Theoretical constraints on mode reduction and the turbulence response

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/9780199689385.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In many-body problems there is generally an interest in reducing the number of degrees of freedom necessary to describe a system. Traditionally this reduction was accomplished in one precipitous step ... More


Isotropic turbulence (in real space)

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/9780198722588.003.0006
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

Chapter 6 focuses on isotropic turbulence, with an emphasis on its real-space (rather than Fourier-space) description. After introducing the language of isotropic turbulence (i.e., kinematics), the ... 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


Turbulent shear flows and simple closure models

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/9780198722588.003.0004
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

Chapter 4 discusses turbulent shear flows. This includes boundary layers, homogeneous shear, and free shear flows, such as jets and wakes. The physical characteristics of these flows are reviewed, ... More


Deep Convective Clouds

Wojciech W. Grabowski and Jon C. Petch

in Clouds in the Perturbed Climate System: Their Relationship to Energy Balance, Atmospheric Dynamics, and Precipitation

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262012874
eISBN:
9780262255448
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262012874.003.0009
Subject:
Environmental Science, Climate

This chapter assesses the effects of deep convective clouds in the perturbed climate system. To understand the role of deep convection in the climate system, model simulations are required across all ... More


Cloud-controlling Factors

A. Pier Siebesma Rapporteur, Jean-Louis Brenguier, Christopher S. Bretherton, Wojciech W. Grabowski, Jost Heintzenberg, Bernd Kärcher, Katrin Lehmann, Jon C. Petch, Peter Spichtinger, Bjorn Stevens, and Frank Stratmann

in Clouds in the Perturbed Climate System: Their Relationship to Energy Balance, Atmospheric Dynamics, and Precipitation

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262012874
eISBN:
9780262255448
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262012874.003.0012
Subject:
Environmental Science, Climate

This chapter addresses the shortcomings that emerge in global climate models attributable to the interactions between resolved and parametized unresolved cloud-related processes (convection, ... More


Introduction To Renormalization Group Modeling Of Turbulence

Steven A. Orszag and I. Staroselsky,

in Simulation and Modeling of Turbulent Flows

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195106435
eISBN:
9780197561003
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195106435.003.0008
Subject:
Computer Science, Mathematical Theory of Computation

The renormalization group (RNG) and related e-expansion methods are a powerful technique that allow the systematic derivation of coarse-grained equations of motion for ... More


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