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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

## 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

## 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

## 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

## 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/9780195106435.003.0009
- 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 turbulent flows and, in ... 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

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