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Data Assimilation Experiments Using the Diffusive Back and Forth N...

By: D. Auroux; G. A. Ruggiero; J. Blum; E. Cosme; J. Verron; Y. Ourmières

Description: Université de Nice Sophia-Antipolis/LJAD, Nice, France. The Diffusive Back and Forth Nudging (DBFN) is an easy-to-implement iterative data assimilation method based on the well-known Nudging method. It consists in a sequence of forward and backward model integrations, within a given time window, both of them using a feedback term to the observations. Therefore in the DBFN, the Nudging asymptotic behavior is translated into an infinite number of i...

Anderson, J. L.: A local least squares framework for ensemble filtering, Mon. Weather Rev., 131, 634–642, 2003.; Abarbanel, H. D. I., Kostuk, M., and Whartenby, W.: Data assimilation with regularized nonlinear instabilities, Q. J. Roy. Meteorol. Soc., 136, 769–783, doi:10.1002/qj.600, 2010.; Anthes, R. A.: Data assimilation and initialization of hurricane prediction models, J. Atmos. Sci., 31, 702–719,

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On the Spectral Distribution of Kinetic Energy in Large-scale Atmo...

By: A. Wiin-nielsen

Description: Geophysical Department, Niels Bohr Institute for Astronomy, Physics and Geophysics, Juliane Maries Vej 30, 2100 Copenhagen, Denmark. A one-dimensional form of the equation of motion with forcing and dissipation is formulated in the spectral domain and used to make long term integrations from which the spectral distribution of the kinetic energy is determined The forcing in the wave number domain is determined in advance and kept constant for the duration...

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Stability and Nonlinear Regimes of Flow Over a Saturated Porous Me...

By: D. T. Baydina; D. V. Lyubimov; T. P. Lyubimova

Description: Institute of Continuous Media Mechanics, Ural Branch of RAS, Perm, Russia. The paper deals with the investigation of stability and nonlinear regimes of flow over the saturated porous medium applied to the problem of stability of water flow over the bottom covered with vegetation. It is shown that the velocity profile of steady plane-parallel flow has two inflection points, which results in instability of this flow. The neutral stability curves, the depe...

Chang, M. H., Chen, F., and Straughan, B.: Instability of Poiseuille flow in a fluid overlying a porous layer, J. Fluid Mech., 564, 287–303, doi:10.1017/S0022112006001583, 2006.; Chen, F. and Chen, C. F.: Onset of finger convection in a horizontal porous layer underlying a fluid layer, Heat Transf., 110, 403–409, doi:10.1115/1.3250499, 1988.; Ghisalberti, M. and Nepf, ...

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Structure Function Analysis and Intermittency in the Atmospheric B...

By: J. M. Redondo; C. Yagüe; J. M. Vindel

Description: Agencia Estatal de Meteorología, Madrid, Spain. Data from the SABLES98 experimental campaign (Cuxart et al., 2000) have been used in order to study the relationship of the probability distribution of velocity increments (PDFs) to the scale and the degree of stability. This connection is demonstrated by means of the velocity structure functions and the PDFs of the velocity increments.

Using the hypothesis of local similarity, so that the third ...

Angheluta, L., Benzi, R., Biferale, L., Procaccia, I., and Toschi, F.: Anomalous scaling exponents in nonlinear models of turbulence, Phys. Rev. Lett., 97, 1–4, 2006.; Anselmet, F., Gagne, Y., Hopfinger, E. J., and Antonia, R. A.: High-order velocity structure functions in turbulent shear flows, J. Fluid Mech., 140, 63–89, 1984.; Balbastro, G. C., Sonzogni, V. E., Franck, G., and Storti, M.: Acción del viento sobre cubiertas abovedadas aisladas: simulación numérica, Mecá...

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An Improved Arima Model for Precipitation Simulations : Volume 21,...

By: C. Wang; X. Lin; J. Kang; H. R. Wang

Description: College of Water Sciences, Key Laboratory for Water and Sediment Sciences Ministry of Education, Beijing Normal University, 19 Xinjiekouwai Street, Beijing, 100875, China. Auto regressive integrated moving average (ARIMA) models have been widely used to calculate monthly time series data formed by interannual variations of monthly data or inter-monthly variation. However, the influence brought about by inter-monthly variations within each year is often ig...

Ahmad, S., Khan, I. H., and Parida, B. P.: Performance of stochastic approaches for forecasting river water quality, Water Res., 35, 4261–4266, 2001.; Box, G. E. P.: Models for forecasting seasonal and nonseasonal time series, in: Spectral Analysis of Time Series, edited by: Harris, B., Wiley, New York, 271–311, 1967.; Box, G. E. P.: Time Series Analysis Forecasting And Control, China Statistics Press, Beijing, China, 1997.; Ip, W. C., Wong, H., and Wang, S. G.: A GIC ru...

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Emergent Behavior in a Coupled Economic and Coastline Model for Be...

By: S. Gopalakrishnan; D. E. McNamara; M. D. Smith; A. B. Murray; E. D. Lazarus

Description: School of Earth and Ocean Sciences, Cardiff University, Main Building, Park Place, Cardiff CF10 3AT, UK. Developed coastal areas often exhibit a strong systemic coupling between shoreline dynamics and economic dynamics. Beach nourishment, a common erosion-control practice, involves mechanically depositing sediment from outside the local littoral system onto an actively eroding shoreline to alter shoreline morphology. Natural sediment-transport processes...

Abarbanel, H. D. I.: Analysis of Observed Chaotic Data, Institute for Nonlinear Science, Springer, New York, 1986.; Albers, H. J., Ando, A. W., and Batz, M.: Patterns of multi-agent land conservation: Crowding in/out, agglomeration, and policy, Resour. Energy Econ., 30, 492–508, 2008.; Ashton, A., Murray, A. B., and Arnoult, O.: Formation of coastline features by large-scale instabilities induced by high-angle waves, Nature, 414, 296–300, 2001.; Ashton, A. D. and Murray,...

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State Dependent Predictability: Impact of Uncertainty Dynamics, Un...

By: J. A. Hansen; V. M. Khade

Description: Dept. of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA 02139, USA. The implications of state dependent, finite time error growth has been studied using singular values in a chaotic 2-dimensional map. Earlier studies have demonstrated the superiority of the singular values over the Lyapunov number in representing error growth over finite time scales, since they take state dependency into account. I...

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An Attempt to Find Precursors in the Ulf Geomagnetic Data by Means...

By: M. Hayakawa; S. F. Timashev

Description: Department of Electronic Engineering, The University of Electro-Communications, Chofu Tokyo 182-8585, Japan. The flicker noise spectroscopy which is a new phenomenological method for the retrieval of information contained in chaotic time signals, is based on the analysis of recognizable irregularities (pulse, jumps, and discontinuities of derivatives of various order). This method is applied to the ULF (ultra-low-frequency) data observed at Guam in 1992–...

Bak, P., Tang, C., and Wiesenfeld, K.: Self-organized criticality: An explanation of 1/$f $ noise, Phys. Rev. Lett., 59, 381–384, 1987.; Bak, P.: How Nature works (The Science of Self-organized Criticality), Oxford University Press, 201 pp., 1997.; Burlaga, L. F. and Klein, L. W.: Fractal structure of the interplanetary magnetic field, J. Geophys. Res., 91, 347–350, 1986.; Erokin, N. S. and Moiseev, S. S.: General characteristics and development mechanisms of natural cri...

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The Diffuse Ensemble Filter : Volume 16, Issue 4 (16/07/2009)

By: T. Delsole; X. Yang

Description: Center for Ocean-Land-Atmosphere Studies, 4041 Powder Mill Rd., Suite 302, Calverton, MD, 20705, USA. A new class of ensemble filters, called the Diffuse Ensemble Filter (DEnF), is proposed in this paper. The DEnF assumes that the forecast errors orthogonal to the first guess ensemble are uncorrelated with the latter ensemble and have infinite variance. The assumption of infinite variance corresponds to the limit of complete lack of knowledge and differs...

Anderson, B. D O. and Moore, J B.: Optimal Filtering, Dover Publications, 1979.; Anderson, J L.: An adaptive covariance inflation error correction algorithm for ensemble filters, Tellus~A, 59, 210–224, 2007.; Ansley, C F. and Kohn, R.: Estimation, filtering and smoothing in state space models with incompletely specified initial conditions, Ann. Stat., 13, 1286–1316, 1985.; Anderson, J L. and Anderson, S L.: A Monte Carlo implementation of the nonlinear filtering problem ...

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Nonlinear Long-wave Deformation and Runup in a Basin of Varying De...

By: I. Didenkulova

Description: Institute of Cybernetics, Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn, Estonia. Nonlinear transformation and runup of long waves of finite amplitude in a basin of variable depth is analyzed in the framework of 1-D nonlinear shallow-water theory. The basin depth is slowly varied far offshore and joins a plane beach near the shore. A small-amplitude linear sinusoidal incident wave is assumed. The wave dynamics far offshore can be desc...

Soomere, T.: Nonlinear components of ship wake waves, Appl. Mechanics Rev., 60, 120–138, 2007.; Stockdon, H. F., Holman, R. A., Howd, P. A., and Sallenger, A. H.: Empirical parameterization of setup, swash, and runup, Coast. Engineering, 53, 573–588, 2006.; Bugge, T., Belderson, R., and Kenyon, N.: The Storegga slide, Phil. Trans. P. Soc. Lond. A, 325, 357–398, 1988.; Burger, W.: A note on the breaking of waves on non-uniformly sloping beach, J. Mech. and Math., 16(10), ...

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Nonlinear Chaotic Model for Predicting Storm Surges : Volume 17, I...

By: M. Siek; D. P. Solomatine

Description: Department of Hydroinformatics and Knowledge Management, UNESCO-IHE Institute for Water Education, Delft, The Netherlands. This paper addresses the use of the methods of nonlinear dynamics and chaos theory for building a predictive chaotic model from time series. The chaotic model predictions are made by the adaptive local models based on the dynamical neighbors found in the reconstructed phase space of the observables. We implemented the univariate and ...

Alexandersson, H., Schmith, T., Iden, K., and Tuomenvirta, H.: Long-term variations of the storm climate over NW Europe, Global Atmos. Ocean System, 6, 97–120, 1998.; Battjes, J. A. and Gerritsen, H.: Coastal modelling for flood defence, Philos. Transact. A Math. Phys. Eng. Sci., 360(1796), 1461–1475, 2002.; Bode, L. and Hardy, T. A.: Progress and recent developments in storm surge modeling, J. Hydraul. Eng.-ASCE, 123(4), 315–331, 1997.; Box, G., Jenkins, G., and Reinsel...

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Four-dimensional Energy Spectrum for Space–time Structure of Plasm...

By: Y. Narita

Description: Space Research Institute, Austrian Academy of Sciences, Schmiedlstr. 6, 8042 Graz, Austria. A parametric model of the inertial-range energy spectrum is constructed for plasma turbulence in the four-dimensional wave vector and frequency domain. The model is based on that of the Eulerian wavenumber-frequency spectrum developed for describing fluid turbulence, and includes wave vector anisotropies in the three-dimensional wave vector domain by approximating...

Balbus, S. A.: Enhanced angular momentum transport in accretion disks, Ann. Rev. Astron. Astrophys. 41, 555–597, doi:10.1146/annurev.astro.41.081401.155207, 2003.; Balogh, A., Carr, C. M., Acuña, M. H., Dunlop, M. W., Beek, T. J., Brown, P., Fornaçon, K.-H., Georgescu, E., Glassmeier, K.-H., Harris, J., Musmann, G., Oddy, T., and Schwingenschuh, K.: % The Cluster magnetic field investigation: overview o...

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Temperature Distribution and Hadley Circulation in an Axisymmetric...

By: N. Tartaglione

Description: School of Science and Technology, University of Camerino, Camerino, Italy. The impact of the temperature distribution on the Hadley circulation simulated by an axisymmetric model is studied. The temperature distributions that drive the model are modulated here by two parameters, n and k, the former controlling the horizontal broadness and the latter defining change in the vertical lapse rate. In the present study, the changes of the tempera...

Gitelman, A. I., Risbey, J. S., Kass, R. E., and Rosen, R. D.: Trends in the surface meridional temperature gradient, Geophys. Res. Lett., 24, 1243–1246, 1997.; Held, I. M. and Hou, A. Y.: Nonlinear axially symmetric circulation in a nearly inviscid atmosphere, J. Atmos. Sci., 37, 515–533, 1980.; Hou, A. Y. and Lindzen, R. S.: The influence of concentrated heating on the Hadley circulation, J. Atmos. Sci., 49, 1233–1241, 1992.; Allen, R. J., Sherwood, S. C., Norris, J. R...

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Bifurcation Analysis of a Paradigmatic Model of Monsoon Prediction...

By: A. Chandra Pandey; S. Dwivedi; A. Kumar Mittal

Description: M. N. Saha Centre of Space Studies, Institute of Interdisciplinary Studies, University of Allahabad, Allahabad, India. Local and global bifurcation structure of the forced Lorenz model in the r-F plane is investigated. The forced Lorenz model is a conceptual model for understanding the influence of the slowly varying boundary forcing like Sea Surface Temperature (SST) on the Indian summer monsoon rainfall variability. Shift in the probability dens...

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On the Possibility of Precursors of Earthquakes in Vlf Range Obser...

By: A. K. Gwal; D. K. Sondhiya; S. Kumar

Description: Space Science Laboratory, Department of Physics, Barkatullah University, Bhopal-462026, India. Very Low Frequency (VLF) disturbances in the ionospheric electric field observed by DEMETER satellite prior to three different earthquakes that occurred during the years 2008–2009 have been presented. The electromagnetic wave data has been analyzed for few days before the earthquake with special attention to the variation in spectral characteristics and non-li...

Antonov, N. V., Lanotte, A., and Mazzino, A.: Persistence of small-scale anisotropies and anomalous scaling in a model of magnetohydrodynamics turbulence, Phys. Rev. E, 61, 6586–6605, doi:10.1103/PhysRevE.61.6586, 2000.; Artemyev, A. V., Orlova, K. G., Mourenas, D., Agapitov, O. V., and Krasnoselskikh, V. V.: Electron pitch-angle diffusion: resonant scattering by waves vs. nonadiabatic effects, Ann. Geophys., 31, 148...

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Diagnostics of Solar Flare Reconnection : Volume 11, Issue 4 (01/1...

By: M. Bárta; M. Karlický

Description: Astronomical Institute, Academy of Sciences of the Czech Republic, 251 65 Ondřejov, Czech Republic. We present new diagnostics of the solar flare reconnection, mainly based on the plasma radio emission. We propose that the high-frequency (600-2000 MHz) slowly drifting pulsating structures map the flare magnetic field reconnection. These structures correspond to the radio emission from plasmoids which are formed in the extended current sheet due to tearin...

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The Rossby Wave Extra Invariant in the Dynamics of 3-d Fluid Layer...

By: A. M. Balk

Description: Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA. We consider an adiabatic-type (approximate) invariant that was earlier obtained for the quasi-geostrophic equation and the shallow water system; it is an extra invariant, in addition to the standard ones (energy, enstrophy, momentum), and it is based on the Rossby waves. The presence of this invariant implies the energy transfer from small-scale eddies to large-scale zonal jet...

Balk, A. M., Nazarenko, S. V., and Zakharov, V. E.: New invariant for drift turbulence, Phys. Lett. A, 152, 276–280, 1991.; Balk, A. M.: A new invariant for Rossby wave systems, Phys. Lett. A, 155, 20–24, 1991.; Balk, A. M.: New conservation laws for the interaction of nonlinear waves, SIAM Rev., 39, 68–94, 1997.; Balk, A. M.: Angular distribution of Rossby wave energy, Phys. Lett. A, 345, 154–160, 2005.; Balk, A. M. and Ferapontov, E. V.: Invariants of 4-wave interactio...

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Geometric and Topological Approaches to Significance Testing in Wa...

By: C. Duffy; R. G. Najjar; J. A. Schulte

Description: Department of Meteorology, Pennsylvania State University, University Park, Pennsylvania, USA. Geometric and topological methods are applied to significance testing in the wavelet domain. A geometric test was developed for assigning significance to pointwise significance patches in local wavelet spectra, i.e., contiguous regions of significant wavelet power coefficients with respect to some noise model. This geometric significance test was found to produc...

Barber, C. B., Dobkin, D. P., and Huhdanpaa, H.: Quickhull Algorithm for Convex Hulls, ACM T. Math. Software, 22, 469–483, 1996.; Baxandall, P. and Liebeck, H.: Vector Calculus, Dover Publications, Inc., Mineloa, New York, USA, 550 pp., 2008.; Benjamini, Y. and Hochberg, Y.: Controlling the False Discovery Rate: A Practical and Power Approach to Multiple Testing, J. Roy. Stat. Soc., 57, 289–300, 1995.; Benjamini, Y. and Yekutieli, D.: The Control of the False Discovery R...

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Penetrative Convection in Stratified Fluids: Velocity and Temperat...

By: A. Cenedese; M. Moroni

Description: Department of Hydraulics, Transportations and Roads, University of Rome La Sapienza, Rome, Via Eudossiana 18 – 00184, Italy. The flux through the interface between a mixing layer and a stable layer plays a fundamental role in characterizing and forecasting the quality of water in stratified lakes and in the oceans, and the quality of air in the atmosphere. The evolution of the mixing layer in a stably stratified fluid body is simulated in the laboratory ...

Cushman, J. H., Park, M., Kleinfelter, N., and Moroni, M.: Super-diffusion via Lévy lagrangian velocity processes, Geophys. Res. Lett., 32, L19816, 2005.; Cenedese, A. and Querzoli, G.: A laboratory model of turbulent convection in the atmospheric boundary layer, Atmos. Environ., 28(11), 1901–1913., 1994.; Cenedese, A. and Querzoli, G.: Lagrangian statistics and transilient matrix measurements by PTV in a convective boundary layer, Meas. Sci. Technol., 8, 1553–1561, 1997...

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Thin Layer Shearing of a Highly Plastic Clay : Volume 13, Issue 6 ...

By: G. Gudehus; M. Külzer; A. B. Libreros Bertini; K. Balthasar

Description: Institut für Bodenmechanik und Felsmechanik, Universität Karlsruhe, Germany. Shearing tests with a thin layer of clay between filter slabs render possible large and cyclic deformations with drainage. In the pressure range of 100 kPa they serve to validated visco-hypoplastic constitutive relations. This theory is also confirmed by tests with up to 14 MPa and super-imposed anti-plane cycles. After this kind of seismic disturbance the clay stabilizes if the...

Bauer, E.: Calibration of a comprehensive hypoplastic model for granular materials, Soils and Foundations (Jap. Soc. of Soil Mech. and Foundation Eng.), 36(1), 13–26, 1996.; Bernaix, J.: New laboratory methods of studying the mechanical properties of Rocks, Int. J. Rock Mechanics and Mining Science, 6, 43–90, 1969.; Bertini, A. B L.: Hypo- und viskohypoplastische Modellierung von Kriech- und Rutschbewegungen, besonders infolge Starkbeben, Veröffentlichungen des Institute...

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