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Large-scale statistics of the Kuramoto-Sivashinsky equation: A wavelet-based approach

Physical Review E 1996年第1期54卷 224-224页

作者： J. Elezgaray G. Berkooz P. Holmes Program in Applied and Computational Mathematics and Department of Mechanical and Aerospace Engineering Princeton University New Jersey 08544

We show that the statistical properties of the large scales of the Kuramoto-Sivashinsky equation in the extended system limit can be understood in terms of the dynamical behavior of the same equation in a small finite domain. Our method relies on the description of the solutions of this equation in terms of wavelets, and allows us to model the energy transfer between small and large scales. We show that the effective equation obtained in this way can be consistently approximated by a forced Burgers equation only for scales far from the cutoff between small and large wavelengths. © 1996 The American Physical Society.

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Erratum: The effect of modeled drag reduction on the Wall Region

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Theoretical and computational Fluid Dynamics 1996年第6期8卷 449-450页

作者： Nadine Aubry John Lumley Philip Holmes Sibley School of Mechanical and Aerospace Engineering Cornell University Ithaca USA Levinch Institute and Department of Mechanical Engineering City College of the City University of New York New York USA Department of Mechanical and Aerospace Engineering Princeton University Princeton USA Program in Applied and Computational Mathematics Princeton University Princeton USA

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Abstracts of papers presented at the 14th conference of the Weed Science Society of Israel Abstracts of papers presented at the international conference on controlled atmosphere and fumigation (CAF) in stored products Abstracts of papers presented at the joint international conference of FAOPMA — CEPA on pest control in the 21st century Abstracts of papers presented at the 2nd international Agro-Ecology Symposium on integrated pest management: from the drawing board to the market

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Phytoparasitica 1996年第3期24卷 199-265页

作者： E. Yogev M. Berson Y. Benyamini Y. Sheinboim T. Lev-Ran A. Bahat Y. Barkai Y. Gatti M. Zaidan O. Barazani Y. Boshvize S. Graph U. Luchinsky T. Blumenfeld Y. Kleifeld G. Herzlinger H. Bucsbaum S. Golan T. Chilf R. Aly Y. Ohali A. Ovadia Y. Chachlon H. Yovel Y. Tesler G. Colodney A. Nir S. Zarka A. Tal B. Rubin T. Yaacoby Y. Alon Y. Kedar Orit Ben-Zvi Assaraf O. Shainberg H. D. Rabinowitch E. Tel-Or Y. Goldwasser D. M. Joel D. Plakhine V. Portnoy G. Tzuri N. Katzir Dalia Losner-Goshen A. M. Mayer R. Jacobsohn Z. Tanaami H. Eisenberg Ziva Amsellem Z. Kernyi L. Hornok J. Gressel Adiva Shomer-Ilan Ela Nir Daphna Michaeli V. Kampel A. Warshawsky M. Yogev M. Negbi J. Hershenhorn Y. Lavan T. Hilf M. Horowitz M. Cohen I. Hirsch A. Veneziani S. T. Conyers C. H. Bell Ana C. Sá-Fischer C. S. Adler Ch. Reichmuth P. W. Flinn D. W. Hagstrum G. N. Mbata R. G. Winks Elisabeth A. Hyne M. Q. Chaudhry A. D. MacNicoll N. R. Price M. Schöller J. -F. Dugast R. Plarre S. Navarro E. J. Donahaye R. Diaz Miriam Rindner A. Azrieli P. Trematerra F. Fontana M. Mancini Ailsa D. Hocking Marta H. Taniwaki J. Lacey A. Hamer N. Magan N. Paster F. M. Caliboso D. G. Alvindia G. C. Sabio M. T. dela Cruz Okky Setyawati Dharmaputra A. S. R. Putri M. Sidik Eleni Papademetriou A. Varnava C. Mouskos M. A. Malek B. Parveen K. A. Dzisi W. O. Ellis Ana Maria Estevez Ljubica Galletti T. Fichet E. Oteiza L. A. Lizana M. X. Gonzalez B. Yakobson Y. Slavezky H. Ephrati El-H. Bartaly R. K. Kashyap M. Gupta W. L. Kashyap B. S. Dahiya A. K. Dash J. R. Rangaswamy R. D. Shroff D. S. Jayas W. E. Muir N. D. G. White L Gaye Weller J. E. van S. Graver Wu-Kang Peng M. Bengston E. Alip C. Reed J. G. Leesch G. F. Knapp G. F. Russell L. B. Llewellin Ch. Ulrichs H. J. Banks P. C. Annis R. Allanson R. Tauscher K. Westphal S. Mohan M. Gopalan P. C. Sumdarababu V. V. Sree Narayanan Sabine Prozell G. Ziegleder B. Schartmann R. Matissek J. Kraus D. Gerard S. Rogg W. Raemann R. F. Ryan Ya-Nan Wang R. T. Noyes P. Kenkel J. T. Criswell G. W. Cuperus C. J. Waterford C. P. Whittle L. Be Luxembourg Chemicals and Agriculture Ltd. Tel Aviv Israel Agrochemicals Dept. Milchan Bros. Ltd. Ramat Gan Israel Extension Service Ministry of Agriculture Zefat Mevo Hamma Ramat HaGolan Israel Dept. of Weed Science ARO Newe Ya’ar Research Center Haifa Israel Agrochemicals Department Milchan Bros. Ltd. Ramat Gan Israel Tarsis-Agrichem Tel Aviv Israel Weed Control Co. Ltd. Bet Dagan Israel Dept. of Field Crops Vegetables and Genetics The Hebrew University of Jerusalem Faculty of Agriculture Rehovot Israel Plant Protection and Inspection Services Ministry of Agriculture Bet Dagan 50250 Agan Chemical Manufacturers Ltd. Ashdod Israel Dept. of Field Crops Vegetables and Genetics Rehovot Dept. of Agricultural Botany The Hebrew University of Jerusalem Faculty of Agriculture Rehovot Israel Dept. of Weed Science ARO Newe Ya’ar Research Center Haifa Dept. of Botany The Hebrew University of Jerusalem Jerusalem Israel Dept. of Vegetable Crops ARO The Volcani Center Bet Dagan Israel Dept. of Plant Genetics Weizmann Institute of Science Rehovot Israel Inst. for Plant Science Agricultural Biotechnology Center Gödöllö Hungary Dept. of Botany Tel-Aviv University Tel Aviv Israel Dept. of Plant Genetics The Weizmann Institute of Science Rehovot Israel Dept. of Organic Chemistry The Weizmann Institute of Science Rehovot Israel Dept. of Ornamental Horticulture ARO The Volcani Center Bet Dagan Israel Weed Control Co. Ltd. Bet Dagan Chem-Nir Ltd. Kefar Shemaryahu Tiveon-Chem Co. Haifa Israel Central Science Laboratory Ministry of Agriculture Fisheries and Food Slough Berks UK Federal Biological Research Centre for Agriculture and Forestry Inst. for Stored Product Protection Berlin Germany USDA-ARS Grain Marketing and Production Research Center Manhattan USA School of Biological Sciences Abia State University Uturu Nigeria CSIRO Division of Entomology SCMC Nambour CSIRO Division of Entomology Canberra Australia DowElanco Europe Letcombe Laboratory L

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NONOSCILLATORY SPECTRAL ELEMENT CHEBYSHEV METHOD FOR SHOCK-WAVE CALCULATIONS

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JOURNAL OF computational PHYSICS 1993年第1期107卷 10-22页

作者： SIDILKOVER, D KARNIADAKIS, GE Department of Mechanical and Aerospace Engineering Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544

A new algorithm based on spectral element discretization and non-oscillatory ideas is developed for the solution of hyperbolic partial differential equations. A conservative formulation is proposed based on cell averaging and reconstruction procedures, that employs a staggered grid of Gauss-Chebyshev and Gauss-Lobatto Chebyshev discretizations. The non-oscillatory reconstruction procedure is based on ideas similar to those proposed by Cai et al. (Math. Comput. 52, 389 (1989)) but employs a modified technique which is more robust and simpler in terms of determining the location and strength of a discontinuity. It is demonstrated through model problems of linear advection, inviscid Burgers equation, and one-dimensional Euler system that the proposed algorithm leads to stable, non-oscillatory accurate results. Exponential accuracy away from the discontinuity is realized for the inviscid Burgers equation example.

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A molecular dynamical study of granular fluids I: The unforced granular gas in two dimensions

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Journal of Scientific Computing 1993年第1期8卷 1-40页

作者： Goldhirsch, I. Tan, M.-L. Zanetti, G. Department of Fluid Mechanics and Heat Transfer Faculty of Engineering Tel-Aviv University Ramat Aviv 69978 Tel-Aviv Israel Program in Applied and Computational Mathematics Princeton University Princeton 08544 New Jersey United States

Results of a numerical study of the dynamics of a collection of disks colliding inelastically in a periodic two-dimensional enclosure are presented. The properties of this system, which is perhaps the simplest model for rapidly flowing granular materials, are markedly different from those known for atomic or moleclar gases, in which collisions are of elastic nature. The most prominent feature characterizing granular systems, even in the idealized situation in which no external forcing exists and the initial condition is statistically homogeneous, is their inherent instability to inhomogeneous fluctuations. Granular "gases" are thus generically nonuniform, a fact that suggests extreme caution in pursuing direct analogies with molecular gases. We find that once an inhomogeneous state sets in, the velocity distribution functions differ from the classical Maxwell-Boltzmann distribution. Other characteristics of the system are different from their counterparts in molecular systems as well. For a given value of the coefficient of restitution, e, a granular system forms clusters of typical separation L₀≈l/(1-e²)^1/2, where l is the mean free path in the corresponding homogeneous system. Most of the fluctuating kinetic energy then resides in the relatively dilute regions that surround the clusters. Systems whose linear dimensions are less then L⁰ do not give rise to clusters;still they are inhomogeneous, the scale of the corresponding inhomogeneity being the longest wavelength allowed by the system's size. The present article is devoted to a detailed numerical study of the above-mentioned clustering phenomenon in two dimensions and in the absence of external forcing. A theoretical framework explaining this phenomenon is outlined. Some general implications as well as practical ramifications are discussed. © 1993 Plenum Publishing Corporation.

关键词： Granular flow dynamics molecular dynamics numerical simulation

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Modeling of multilayer ion etching processes

Journal of Vacuum Science & Technology B: Microelectronics a...

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Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures Processing, Measurement, and Phenomena 1993年第4期11卷 1310-1313页

作者： S. J. Sherwin E. Barouch G. E. Karniadakis S. A. Orszag Department of Mechanical and Aerospace Engineering Princeton University Princeton New Jersey 08540 Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08540

Numerical simulation is used to model ion etching in trilayer lithography. The simulations are capable of capturing the evolution of the boundary between two materials as well as the physically observed phonemena reactive ion etching lag and undercutting. Numerical results are compared with experimental data and a good agreement is found except close to the material interface where the slope of the surface is large. This error is attributed to a purely energy dependent yield used in the simulations.

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Parallel spectral-element-Fourier simulation of turbulent flow over riblet-mounted surfaces

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Theoretical and computational Fluid Dynamics 1992年第4期3卷 219-229页

作者： Chu, Douglas Henderson, Ron Karniadakis, George Em Department of Mechanical and Aerospace Engineering and Program in Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States

The flow in a channel with its lower wall mounted with streamwise V-shaped riblets is simulated using a highly efficient spectral-element-Fourier method. The range of Reynolds numbers investigated is 500 to 4000, which corresponds to laminar, transitional, and turbulent flow states. Our results suggest that in the laminar regime there is no drag reduction, while in the transitional and turbulent regimes drag reduction up to 10% exists for the riblet-mounted wall in comparison with the smooth wall of the channel. For the first time, we present detailed turbulent statistics in a complex geometry. These results are in good agreement with available experimental data and provide a quantitative picture of the drag-reduction mechanism of the riblets. © 1992 Springer-Verlag.

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Three-dimensional dynamics and transition to turbulence in the wake of bluff objects

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Journal of Fluid Mechanics 1992年第1期238卷 1-30页

作者： Karniadakis, George Em Triantafyllou, George S. Department of Mechanical and Aerospace Engineering and Program of Applied and Computational Mathematics Princeton University Princeton NJ 08544 United States The Levich Institute and Department of Mechanical Engineering The City College of New York New York NY 10031 United States

The wakes of bluff objects and in particular of circular cylinders are known to undergo a ‘fast ’ transition, from a laminar two-dimensional state a t Reynolds number 200 to a turbulent state a t Reynolds number 400. The process has been documented in several eXperimental mvestigations, but the underlying physical mechanisms have remained largely unknown so far. In this paper, the transition process is investigated numerically, through direct simulation of the NavierStokes equations at representative Reynolds numbers, up to 500. A high-order timeaccurate, miXed spectral/spectral element technique is used. It is shown that the wake first becomes three-dimensional, as a result of a secondary instability of the two-dimensional vorteX street. This secondary instability appears at a Reynolds number close to 200. For slightly supercritical Reynolds numbers, a harmonic state develops, in which the flow oscillates at its fundamental frequency (Strouhal number) around a spanwise modulated time-average flow. In the near wake the modulation wavelength of the time-average flow is half of the spanwise wavelength of the perturbation flow, consistently with linear instability theory. The vorteX filaments have a spanwise wavy shape in the near wake, and form rib-like structures further downstream. At higher Reynolds numbers the three-dimensional flow oscillation undergoes a period-doubling bifurcation, in which the flow alternates between two different states. Phase-space analysis of the flow shows that the basic limit cycle has branched into two connected limit cycles. In physical space the period doubling appears as the shedding of two distinct types of vorteX filaments. Further increases of the Reynolds number result in a cascade of period-doubling bifurcations, which create a chaotic state in the flow at a Reynolds number of about 500. The flow is characterized by broadband power spectra, and the appearance intermittent phenomena. It is concluded that the wake undergoes transit

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Hybrid spectral-element-low-order methods for incompressible flows

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Journal of Scientific Computing 1991年第2期6卷 79-100页

作者： Henderson, Ron Karniadakis, George Em. Department of Mechanical and Aerospace Engineering Program in Applied and Computational Mathematics Princeton University Princeton 08544 New Jersey United States

In this article we present a new formulation for coupling spectral element discretizations to finite difference and finite element discretizations addressing flow problems in very complicated geometries. A general iterative relaxation procedure (Zanolli patching) is employed that enforces C¹ continuity along the patching interface between the two differently discretized subdomains. In fluid flow simulations of transitional and turbulent flows the high-order discretization (spectral element) is used in the outer part of the domain where the Reynolds number is effectively very high. Near "rough" wall boundaries (where the flow is effectively very viscous) the use of low-order discretizations provides sufficient accuracy and allows for efficient treatment of the complex geometry. An analysis of the patching procedure is presented for elliptic problems, and extensions to incompressible Navier-Stokes equations are implemented using an efficient high-order splitting scheme. Several examples are given for elliptic and flow model problems and performance is measured on both serial and parallel processors. © 1991 Plenum Publishing Corporation.

关键词： complex geometries finite differences finite elements Incompressible flows spectral elements

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Analysis of the linear stability of compressible boundary layers using the PSE

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Theoretical and computational Fluid Dynamics 1991年第2期3卷 117-124页

作者： Bertolotti, F.P. Herbert, Th. Program in Applied and Computational Mathematics Princeton University Princeton 08544 NJ United States Department of Mechanical Engineering Ohio State University Columbus 43210 OH United States

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