16.4-Tflops Direct Numerical Simulation of Turbulence by a Fourier Spectral Method on the Earth Simulator

Yokokawa, Mitsuo; Itakura, Keiichi; Uno, Atsuya; Ishihara, Takashi; Kaneda, Yukio

doi:10.1109/sc.2002.10052

Cited by 94 publications

(75 citation statements)

References 8 publications

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“…The DNS inertial range is limited primarily because the dissipation is usually modelled with a Laplacian operator that is typically significant over a range a large factor (≈50) in scale. Recent Earth Simulator integrations on a 4096 3 grid are now able to display roughly an intermediate (inertial) range spanning a factor of ≈100 in scale (Yokokawa et al, 2002;Kaneda, 2003), but require massive computational efforts.…”

Section: Cascades In Direct Numerical Simulationsmentioning

confidence: 99%

The stochastic multiplicative cascade structure of deterministic numerical models of the atmosphere

Stolle

Lovejoy

Schertzer³

2009

Nonlin. Processes Geophys.

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Abstract.By direct statistical analysis we show that over almost all their range of scales and to within typically better than ±1%, atmospheric fields obtained from analyses and numerical integrations of atmospheric models have the multifractal structure predicted by multiplicative cascade models. We quantify this for the horizontal wind, temperature, and humidity fields at 5 different pressure levels for the ERA40 reanalysis, the Canadian Meteorological Centre Global Environmental Multiscale (CMC, GEM) model, as well as the National Oceanographic and Atmospheric Administration Global Forecasting System (NOAA, GFS). We investigate the additional prediction that the cascade belongs to a universal multifractal basin of attraction. By demonstrating a "Levy collapse" of the statistical moments to within ±2 to ±5% over most of the range of scales, we conclude that there is good evidence for this. Finally, we discuss how this stochastic multiplicative cascade structure can be exploited in improving ensemble forecasts.

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Section: Cascades In Direct Numerical Simulationsmentioning

confidence: 99%

The stochastic multiplicative cascade structure of deterministic numerical models of the atmosphere

Stolle

Lovejoy

Schertzer³

2009

Nonlin. Processes Geophys.

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“…(See for example Yokokawa et al (2002) who achieved high-resolution direct numerical simulations of incompressible turbulence with numbers of grid points up to 4096 3 which is the limit of what is currently possible, that is R λ ≃ 1227 for a turbulence without stratification or rotation. )…”

Section: Introductionmentioning

confidence: 99%

Kinematic simulation for stably stratified and rotating turbulence

Nicolleau

Vassilicos

2008

Fluid Dyn. Res.

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The properties of one-particle and particle-pair diffusion in rotating and stratified turbulence are studied by applying the Rapid Distortion Theory to a Kinematic Simulation of the Boussinesq equation with a Coriolis term.Scalings for one-and two-particle horizontal and vertical diffusions in purely rotating turbulence are proposed for small Rossby numbers.Particular attention is given to the locality-in-scale hypothesis for two-particle diffusion in purely rotating turbulence both in the horizontal and the vertical directions. It is observed that both rotation and stratification decrease the pair diffusivity and improve the validity of the locality-in-scale hypothesis. In the case of stratification the range of scales over which the locality-in-scale hypothesis is observed is increased.It is found that rotation decreases the diffusion in the horizontal direction as well as, though to a much lesser extent, in the vertical direction.

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“…Experimental techniques used for fluid dynamics can collect upwards of 4Gb of data per second of flow. State-of-theart numerical simulations are producing 3 orders of magnitude more than that [103].…”

Section: Background and Motivationmentioning

confidence: 99%

Three-dimensional object registration using wavelet features

Chalfant

Patrikalakis

2009

Engineering with Computers

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Recent developments in shape-based modeling and data acquisition have brought three-dimensional models to the forefront of computer graphics and visualization research. New data acquisition methods are producing large numbers of models in a variety of fields. Three-dimensional shape-based matching and registration (alignment) are key to the useful application of such models in areas from automated surface inspection to cancer detection and surgery. The three-dimensional models in these applications are typically huge. State-of-the-art simulations in computational fluid dynamics produce upward of four terabytes of data per second of flow. Research-level magnetic resonance imaging (MRI) resolutions can reach 1 cubic micro-meter. As a result, object registration and matching algorithms must handle very large amounts of data.The algorithms developed in this thesis accomplish automatic registration and matching of three-dimensional voxelized models. We employ features in a wavelet transform domain to accomplish registration. The features are extracted in a multiresolutional format, thus delineating features at various scales for robust and rapid matching. Registration is achieved through seeking peaks in sets of rotation quaternions using a voting scheme, then separately identifying translation. The method is robust to occlusion, clutter and noise. The efficacy of the algorithm is demonstrated through examples from solid modeling and medical imaging applications.

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16.4-Tflops Direct Numerical Simulation of Turbulence by a Fourier Spectral Method on the Earth Simulator

Cited by 94 publications

References 8 publications

The stochastic multiplicative cascade structure of deterministic numerical models of the atmosphere

The stochastic multiplicative cascade structure of deterministic numerical models of the atmosphere

Kinematic simulation for stably stratified and rotating turbulence

Three-dimensional object registration using wavelet features

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