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## A public turbulence database cluster and applications to study lagrangian evolution of velocity increments in turbulence,” arXiv.org (2008)

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Citations: | 20 - 7 self |

### Citations

793 |
Turbulent Flows
- Pope
- 2000
(Show Context)
Citation Context ... develop exponential or stretched exponential tails. Also, the scaling exponents of the moments of the velocity increments deviate significantly from the prediction of the classical Kolmogorov theory =-=[12, 13, 14]-=-. Thus the quantitative prediction of small-scale intermittency behavior has been one of the major fundamental challenges in turbulence research. Substantial progresses have been made in the phenomeno... |

550 |
The local structure of turbulence in incompressible viscous fluid for very large Reynolds number
- Kolmogorov
- 1941
(Show Context)
Citation Context ... develop exponential or stretched exponential tails. Also, the scaling exponents of the moments of the velocity increments deviate significantly from the prediction of the classical Kolmogorov theory =-=[12, 13, 14]-=-. Thus the quantitative prediction of small-scale intermittency behavior has been one of the major fundamental challenges in turbulence research. Substantial progresses have been made in the phenomeno... |

386 |
Foundations of Multidimensional and Metric Data Structures
- Samet
- 2006
(Show Context)
Citation Context ... applications accessing coherent regions in the physical space, such as structure identification and filtering. In our system, the data is indexed according to the Z-order (also known as Morton-order)=-=[32]-=-, 60.8 0.75 E(t) 0.7 0.65 0.6 -5 -4 -3 -2 -1 0 1 2 3 t Figure 3: Total kinetic energy as function of time. Dashed line is times before ingestion into database. Data corresponding to the database is s... |

100 |
Universal scaling laws in fully developed turbulence
- She, Leveque, et al.
- 1994
(Show Context)
Citation Context ...r has been one of the major fundamental challenges in turbulence research. Substantial progresses have been made in the phenomenological modeling and related ‘toy models’ of small scale intermittency =-=[15, 16, 17, 18, 19, 20]-=-. However, these models generally made little direct connection with the Navier-Stokes equations. A recent development has been to couple the dynamics of velocity gradients with the Lagrangian evoluti... |

98 | Particles and fields in fluid turbulence
- Falkovich, Gawedzki, et al.
(Show Context)
Citation Context ...r has been one of the major fundamental challenges in turbulence research. Substantial progresses have been made in the phenomenological modeling and related ‘toy models’ of small scale intermittency =-=[15, 16, 17, 18, 19, 20]-=-. However, these models generally made little direct connection with the Navier-Stokes equations. A recent development has been to couple the dynamics of velocity gradients with the Lagrangian evoluti... |

81 |
Scaling of the velocity fluctuations in turbulent channels up to Reτ = 2003
- Hoyas, Jiménez
(Show Context)
Citation Context ...oach has, to date, not been widely embraced by the CFD research community. For instance, in the area of Direct Numerical Simulations (DNS) of turbulent flows, existing efforts to share large datasets =-=[6, 7, 8]-=- either (1) assume that the entire or most of the data are downloaded and the user must provide the computational resources for analysis of the large data sets, or (2) the user must establish accounts... |

57 |
The Legacy of A. N. Kolmogorov (Cambridge Univ
- Frisch, Turbulence
- 1995
(Show Context)
Citation Context ... develop exponential or stretched exponential tails. Also, the scaling exponents of the moments of the velocity increments deviate significantly from the prediction of the classical Kolmogorov theory =-=[12, 13, 14]-=-. Thus the quantitative prediction of small-scale intermittency behavior has been one of the major fundamental challenges in turbulence research. Substantial progresses have been made in the phenomeno... |

56 |
R.: Simple multifractal cascade model for fully develop turbulence, Phys
- Meneveau, Sreenivasan
- 1987
(Show Context)
Citation Context ...r has been one of the major fundamental challenges in turbulence research. Substantial progresses have been made in the phenomenological modeling and related ‘toy models’ of small scale intermittency =-=[15, 16, 17, 18, 19, 20]-=-. However, these models generally made little direct connection with the Navier-Stokes equations. A recent development has been to couple the dynamics of velocity gradients with the Lagrangian evoluti... |

49 |
Vulpiani: On the multifractal nature of fully developed turbulence and chaotic systems
- Benzi, Paladin, et al.
- 1984
(Show Context)
Citation Context |

32 |
Spectral calculations of isotropic turbulence: Efficient removal of aliasing interactions
- Jr, Orszag
- 1971
(Show Context)
Citation Context ...rms are integrated using a secondorder Adams-Bashforth scheme and the nonlinear term is written in vorticity form [26]. The simulation is de-aliased using phase-shift and 2 √ 2/3 spherical truncation =-=[27]-=-, so that the effective maximum wavenumber is about kmax = 1024 √ 2/3 ≈ 482. Energy is injected by keeping constant the total energy in modes such that their wave-number magnitude is less or equal to ... |

30 |
Lagrangian tetrad dynamics and phenomenology of turbulence, Phys
- Chertkov, Pumir, et al.
- 1999
(Show Context)
Citation Context ...has been to couple the dynamics of velocity gradients with the Lagrangian evolution of the small scale geometrical features of turbulence. Geometrical information has been invoked in the tetrad model =-=[21]-=-, in the material deformation tensor evolution[22, 23], and material line elements [10, 11]. In Refs. [10, 11], the velocity increments defined over a line segment advected by a turbulent velocity fie... |

30 |
Exact solution of a restricted Euler equation for the velocity gradient tensor, Phys
- Cantwell
- 1992
(Show Context)
Citation Context ...he velocity fields [14], the PDFs of elements of the velocity gradients Aij = ∂ui/∂xj , and the joint PDF of the two independent invariants of the velocity gradient Q = −AijAji/2 and R = −AijAjkAki/3 =-=[25]-=-. The statistical descriptions are obtained by running programs on local desktop computers, while obtaining the data from the database remotely. The analysis of the advected delta-vee system is presen... |

26 |
Decaying turbulence in an activegrid-generated flow and comparisons with large-eddy simulation
- Kang, Chester, et al.
(Show Context)
Citation Context ...ransverse spectra are identical to each other except that slight difference can be seen at the lowest wavenumber. These features are all consistent with other DNS and experimental results (see, e.g., =-=[33]-=-). As a result of dealiasing, the spectra extend only to a wavenumber around 482, as noted before. 10int getVelocity (char *authToken, char *dataset, float time, enum SpatialInterpolation spatial, en... |

19 | Data exploration of turbulence simulations using a database cluster
- Perlman, Burns, et al.
- 2007
(Show Context)
Citation Context ...ase allows flexible in situ data processing for basic operations such as differentiation and interpolation. While some of the technical details about the design of the database have been described in =-=[9]-=-, in this paper we give a further description, with emphasis on how it may be used for turbulence research. We also provide a description of the functions available to the user. Then several test case... |

16 |
Lagrangian dynamics and statistical geometric structure of turbulence
- Chevillard, Meneveau
- 2006
(Show Context)
Citation Context ...nts with the Lagrangian evolution of the small scale geometrical features of turbulence. Geometrical information has been invoked in the tetrad model [21], in the material deformation tensor evolution=-=[22, 23]-=-, and material line elements [10, 11]. In Refs. [10, 11], the velocity increments defined over a line segment advected by a turbulent velocity field have been studied. 2A simple dynamical system desc... |

15 |
2005 Origin of non-gaussian statistics in hydrodynamic turbulence
- Li, Meneveau
(Show Context)
Citation Context ... course, it also depends on the client’s network speed, etc. 4 Analysis of the advected delta-vee system In this section, the database is used to analyze the advected delta-vee system derived in Ref. =-=[10]-=-. For the convenience of the readers, the derivation of the system is briefly reviewed first. We restrict ourselves to dynamics in three dimensional space. The advected delta-vee system decribes the L... |

13 |
Cyberinfrastructure Vision for 21st Century Discovery. Director
- Council
- 2007
(Show Context)
Citation Context ...n order to reduce the amount of data to be processed and transmitted. One example of such projects is the Sloan Digital Sky Survey (SDSS) project (for a list of similar projects see the Appendix E of =-=[4]-=-). The project aims at producing a comprehensive astronomical data archive, and providing astronomers the ability to explore the multi-terabyte data interactively and remotely through the Internet [5]... |

12 |
models of energy cascade in turbulence
- Shell
(Show Context)
Citation Context |

11 |
2002 "Effects of small-scale turbulent motions on the filtered velocity gradient tensor as deduced from holographic particle image velocimetry measurements
- Bos, Tao, et al.
(Show Context)
Citation Context ...ive prediction of intermittency requires the modeling of the unclosed terms. In this paper, the terms are analyzed using the DNS data in the turbulence database. Following the statistical approach of =-=[24]-=-, we consider the effects of the pressure and viscous terms based on the probability fluxes they produce in the equation for the joint probability distribution function (PDF) of the velocity increment... |

10 |
Intermittency trends and Lagrangian evolution of non-Gaussian statistics in turbulent flow and scalar transport
- Li, Meneveau
(Show Context)
Citation Context ...quation for the length of the line element r(t): dr dt = δu r ℓ−1 . (7) Recall that the velocity increments are defined over a distance ℓ along the directions of evolving line elements r. As noted in =-=[10, 11]-=-, during their evolution the line elements tend to concentrate along the stretching directions of the flow field. Therefore, the joint PDF defined with equal weight on each trajectory in the (δu,δv) p... |

10 |
Models of intermittency in hydrodynamic turbulence
- Kraichnan
- 1990
(Show Context)
Citation Context |

9 |
Velocity-gradient dynamics in turbulence: Effect of viscosity and forcing
- Jeong, Girimaji
(Show Context)
Citation Context ...nts with the Lagrangian evolution of the small scale geometrical features of turbulence. Geometrical information has been invoked in the tetrad model [21], in the material deformation tensor evolution=-=[22, 23]-=-, and material line elements [10, 11]. In Refs. [10, 11], the velocity increments defined over a line segment advected by a turbulent velocity field have been studied. 2A simple dynamical system desc... |

8 |
Statistics and structures of pressure in isotropic turbulence, Phys. Fluids 11
- Cao, Chen
- 1999
(Show Context)
Citation Context ...the viscous term is done analytically using the exact integrating factor. The other terms are integrated using a secondorder Adams-Bashforth scheme and the nonlinear term is written in vorticity form =-=[26]-=-. The simulation is de-aliased using phase-shift and 2 √ 2/3 spherical truncation [27], so that the effective maximum wavenumber is about kmax = 1024 √ 2/3 ≈ 482. Energy is injected by keeping constan... |

4 |
2005 Statistics and geometry of passive scalars in turbulence. Phys
- Schumacher, Sreenivasan
(Show Context)
Citation Context ... 4 field variables on O[(10 4 ) 3 ] spatial points, when stored on 10 4 time-frames leads to datasets of about 160 petabytes. For more complex problems, such as turbulent advection of passive scalars =-=[1, 2]-=- and magnetohydrodynamic turbulence [3], the amount of data will increase even further. Such large datasets, however, create serious new challenges when attempting to translate the massive amounts of ... |

3 |
iCFDdatabase, the CFD database, http://cfd.cineca.it (examined
- Center
- 2007
(Show Context)
Citation Context ...oach has, to date, not been widely embraced by the CFD research community. For instance, in the area of Direct Numerical Simulations (DNS) of turbulent flows, existing efforts to share large datasets =-=[6, 7, 8]-=- either (1) assume that the entire or most of the data are downloaded and the user must provide the computational resources for analysis of the large data sets, or (2) the user must establish accounts... |

3 |
Engelen, gSOAP: SOAP C++ Web services, http://www.cs.fsu.edu/˜engelen/soap.html
- van
(Show Context)
Citation Context ...rapper function to perform complex data type conversions. For FORTRAN and C codes running in UNIX, Linux or MacOS, we have developed and provided FORTRAN and C wrapper interfaces to the gSOAP library =-=[29]-=-, which establishes the communication between the client code and the Web-service methods. A list of Web-service methods are implemented on the data access server [30]. These methods provide the entry... |

3 |
Velocity statistics in homogeneous steady turbulence obtained using a high resolution direct numerical simulation
- Gotoh, Fukayama, et al.
- 2002
(Show Context)
Citation Context ...ght differences in the 6th-order finite difference and the spectral evaluations of the gradients. The results are also in good agreement with the results reported in the literature (see, for example, =-=[34]-=- and [24]). The time taken to calculate the energy spectra is about 16 minutes for 512 × 1024 points, and 26 minutes for 512 × 4096 points. These numbers are quite encouraging for an initial implement... |

1 |
Yeung Lagrangian investigations of turbulence
- K
(Show Context)
Citation Context ... 4 field variables on O[(10 4 ) 3 ] spatial points, when stored on 10 4 time-frames leads to datasets of about 160 petabytes. For more complex problems, such as turbulent advection of passive scalars =-=[1, 2]-=- and magnetohydrodynamic turbulence [3], the amount of data will increase even further. Such large datasets, however, create serious new challenges when attempting to translate the massive amounts of ... |

1 |
Mininni and A. Pouquet Shell-to-shell energy transfer in magnetohydrodynamics
- Alexakis, D
(Show Context)
Citation Context ...l points, when stored on 10 4 time-frames leads to datasets of about 160 petabytes. For more complex problems, such as turbulent advection of passive scalars [1, 2] and magnetohydrodynamic turbulence =-=[3]-=-, the amount of data will increase even further. Such large datasets, however, create serious new challenges when attempting to translate the massive amounts of data into meaningful knowledge and disc... |

1 |
Designing and mining mult-terabyte astronomy archives: the Sloan digital sky survey
- Szalay, Kunszt, et al.
- 2000
(Show Context)
Citation Context ...[4]). The project aims at producing a comprehensive astronomical data archive, and providing astronomers the ability to explore the multi-terabyte data interactively and remotely through the Internet =-=[5]-=-. The data archive has led to over one thousand research articles published by researchers from all over the world. While there are several fields in which this approach has 1been embraced, the datab... |

1 |
framework essentials, 3rd Edition. O’Reilly
- NET
- 2003
(Show Context)
Citation Context ...Server’s Common Language 510 0 10 -1 10 -2 k -5/3 10 -3 E(k) 10 -4 10 -5 10 -6 10 0 10-7 10 1 k 10 2 Figure 2: Radial kinetic energy spectrum, averaged in time between t = 0 and 2.048. Runtime (CLR) =-=[31]-=- integration allows these stored procedures programmed in C#. They are intended to provide for the users a comprehensive and yet compact set of tools to process the data in the database. In turbulence... |