Use of in Situ Observations to Verify the Diurnal Cycle of Sea Surface Temperature in ECMWF Coupled Model Forecasts

Total Page:16

File Type:pdf, Size:1020Kb

Use of in Situ Observations to Verify the Diurnal Cycle of Sea Surface Temperature in ECMWF Coupled Model Forecasts 826 Use of in situ observations to verify the diurnal cycle of sea surface temperature in ECMWF coupled model forecasts D. Salisbury, K. Mogensen & G. Balsamo Research Department November 2018 Series: ECMWF Technical Memoranda A full list of ECMWF Publications can be found on our web site under: http://www.ecmwf.int/en/research/publications Contact: [email protected] c Copyright 2018 European Centre for Medium-Range Weather Forecasts Shinfield Park, Reading, RG2 9AX, England Literary and scientific copyrights belong to ECMWF and are reserved in all countries. This publication is not to be reprinted or translated in whole or in part without the written permission of the Director- General. Appropriate non-commercial use will normally be granted under the condition that reference is made to ECMWF. The information within this publication is given in good faith and considered to be true, but ECMWF accepts no liability for error, omission and for loss or damage arising from its use. Diurnal cycle of SST Abstract At the European Centre for Medium-Range Weather Forecasts (ECMWF), coupling of the atmo- spheric model to an ocean model has recently been extended to the High-Resolution (HRES) fore- cast model. This move is driven by: (i) encouraging results in coupled Ensemble medium-range and extended-range forecasts; (ii) studies reporting a positive impact of coupling on the prediction of atmospheric events; and (iii) the need to better represent coupling feedbacks. As the lower atmo- spheric boundary condition over the ocean for the atmospheric model, the sea surface temperature (SST) field is key to this coupling. It is known that sub-daily variation in SST—its diurnal cycle— modulates air-sea exchange at the interface, and that resolving this variation can have a positive impact on the forecasting of both the upper ocean and the atmospheric state. In this work, we explore the diurnal cycle of SST in global coupled simulations with the ECMWF Integrated Forecast System (IFS). A year’s worth (March 1, 2015–March 1, 2016) of 10-day forecasts are run under coupled and then uncoupled model configurations: in the uncoupled runs, the (at depth) SST is based on the daily Operational Sea Surface Temperature and Sea Ice Analysis (OSTIA) field, with use of a prognostic scheme for the skin surface temperature; in the coupled runs the atmospheric model is coupled to the NEMO ocean model with a one-hour coupling frequency. The amplitude and phase of the diurnal cycle are validated against estimates from in situ oceanographic observations. We also explore the dependencies of the modelled diurnal cycle on key meteorological forcings (10-m wind speed and total cloud cover), and compare with the dependencies exhibited by the observations. 1 Introduction Sea surface temperature (SST) is a key parameter for weather and climate due to its influence on the state and evolution of the Earth’s atmosphere—via atmosphere-ocean interactions—and on ocean dynamics. Accurate SST data are a requirement for climate monitoring, prediction, and research. In addition, measurements or estimates of SST are used in the retrieval of other key ocean and atmosphere parameters from in situ and satellite-based instruments. SST has an important impact on the biogeochemistry of the ocean and is one of the most important physical properties of the marine ecosystem. One dominant mode of variation in SST is its diurnal variability. The daily progression of solar heating and subsequent surface- or mixing-driven cooling of the upper ocean is known as the diurnal cycle of SST. The diurnal cycle is an important feature of atmosphere-ocean interaction as many physical exchanges, including those of sensible and latent heat, and trace gases, are sensitive to the temperature of the ocean surface and its variation. For example, large diurnal warming can increase the heat flux from the ocean by 50–60 Wm−2 during the daytime (Ward, 2006; Fairall et al., 1996). Using data from moored buoys in the tropical Pacific, Zeng and Dickinson(1998) showed evidence of clear diurnal variability in surface latent and sensible heat fluxes. This variability could not be reproduced using daily or monthly mean sea surface skin temperature, SSTskin, suggesting that the diurnal cycle of skin temperature is the main driver of flux diurnal variability. Atmospheric General Circulation Models (AGCMs) often use as input SST analysis fields representing a bulk or foundation SST, constructed from satellite and in situ SST observations. Prognostic and diag- nostic schemes are typically used to represent diurnal SST variation (Fairall et al., 1996; Stuart-Menteth, 2003; Webster et al., 1996; Zeng and Beljaars, 2005; Takaya et al., 2010a; Filipiak et al., 2012) in the absence of an ocean model. Alternatively, the diurnal cycle of SST can be reproduced using an ocean- atmosphere coupled model with a short coupling interval, of roughly 1–3 hours, as long as the ocean component can adequately resolve the near-surface thermal structure. This approach has been used to assess the impact of the diurnal cycle on the atmosphere on sub-daily to intraseasonal timescales. Bernie et al.(2007) used a diurnally-forced ocean GCM to investigate the impact of resolving the diurnal cycle Technical Memorandum No. 826 1 Diurnal cycle of SST on the SST response to the Madden–Julian Oscillation (MJO). Across the Indo-Pacific, the diurnal cycle has been shown to increase the intraseasonal SST response to the MJO by around 20%. The diurnal cycle also modifies momentum exchange between currents, resulting in a 10% increase in the strength of Ekman cells and equatorial upwelling. In the second part of the study, Bernie et al.(2008) investigated the impact of a resolved ocean diurnal cycle on the climate simulations of a coupled GCM, showing that inclusion of the diurnal cycle leads to increase of the mean SST, with an increase of 0.2–0.3◦C across the equatorial Pacific. In turn, these changes had profound impact on up-scale variability in the tropi- cal climate. Other studies have linked the diurnal cycle of SST to convection over the Tropical Pacific (Johnson et al., 1999), to the diurnal cycle of precipitation (Dai and Trenberth, 2004), and shown that the SST diurnal cycle modulates the mean climate of atmospheric models (Brunke et al., 2008). In numerical weather prediction, coupled models traditionally show good skill in seasonal and monthly prediction, in particular in forecasting SST, the MJO, and the prediction of hurricanes and cyclones (Brassington et al., 2015). It is thought that part of this success is due to inclusion of diurnal SST variability, and that the increase in forecast skill could be seen in short- and medium-range forecasts, given the variable nature of air-sea interaction on even hourly time scales. McLay et al.(2012) report that inclusion of SST variation in the Navy Operational Global Atmospheric Prediction System improves medium-range forecast skill in the tropics, with a smaller impact in the midlatitudes. In the tropics, most of the increased skill was due to SST analysis perturbations rather than from inclusion of diurnal variability. The move to coupled forecasting systems at ECMWF is driven by improvement in the modelling of air-sea interaction processes, the development of ocean-atmosphere coupled data analysis, and use of coupled wave-sea-ice-atmosphere forecasts at all time ranges. Atmosphere-ocean coupling has recently been extended to the High-Resolution (HRES) forecast model (cycle 45r1). In preparation for such a move, it is important to quantify how well the diurnal cycle is represented in the coupled simulations. This study aims to verify the diurnal cycle in a coupled implementation of the ECMWF IFS model, and compare with results from an uncoupled implementation. The amplitude and phase of the diurnal cycle are validated against estimates from in situ oceanographic observations. We also explore the dependency of the modelled and observed diurnal cycle amplitude on key meteorological forcings of diurnal variabil- ity in SST—the 10-m wind speed and total cloud cover. In Section 2 we give an overview of the diurnal cycle and its representation in the ECMWF model. Model experiments and data are described in Section 3, and the methodology is outlined in Section 4. Results are given in Section 5, followed by discussion (Section 6) and conclusions (Section 7). 2 Background 2.1 Definition and measurement of sea surface temperatures Traditionally, the sea surface temperature observed from ships and buoys is reported as the “bulk” SST— the temperature at a depth of roughly 1 m or deeper (Donlon et al., 2007). Note that the Global Ocean Data Assimilation Experiment (GODAE) High-Resolution SST Pilot Project (GHRSST-PP) Science Team recommends using SSTdepth rather than “bulk” SST; this is to avoid confusion relating to po- tential drastic changes in the bulk temperature with depth, and to encourage reporting of the depth of the temperature measurement. SSTbulk can differ markedly from the skin temperature (SSTskin) of the water in the top several microns 2 Technical Memorandum No. 826 Diurnal cycle of SST of depth. As the atmosphere senses only the interface of the ocean, SSTskin is of great importance as it represents the temperature closest to that of the interface. The skin temperature can be measured by in situ- or satellite-based radiometric instruments, although substantive effort is involved in quality control of the observations. Under most oceanographic and meteorological conditions, SSTskin is greater than a bulk temperature at depth, and shows larger diurnal variation due to the decrease in solar heating of the ocean surface boundary layer with depth. However, during the night, or under strong winds and with wave-induced mixing, the two temperatures can show little difference. Indeed, under such conditions—i.e., in the absence of a diurnal thermocline—SSTskin can be lower than SSTbulk due to the cool-skin effect (Fairall et al., 1996).
Recommended publications
  • Indian Ocean Dipole and El Niño/Southern Oscillation Impacts on Regional Chlorophyll Anomalies in the Indian Ocean Jock C
    Indian Ocean Dipole and El Niño/Southern Oscillation impacts on regional chlorophyll anomalies in the Indian Ocean Jock C. Currie, Matthieu Lengaigne, Jérôme Vialard, David M. Kaplan, Olivier Aumont, S. W. A. Naqvi, Olivier Maury To cite this version: Jock C. Currie, Matthieu Lengaigne, Jérôme Vialard, David M. Kaplan, Olivier Aumont, et al.. Indian Ocean Dipole and El Niño/Southern Oscillation impacts on regional chlorophyll anomalies in the Indian Ocean. Biogeosciences, European Geosciences Union, 2013, 10 (10), pp.6677 - 6698. 10.5194/bg-10-6677-2013. hal-01495273 HAL Id: hal-01495273 https://hal.archives-ouvertes.fr/hal-01495273 Submitted on 3 Aug 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Distributed under a Creative Commons Attribution - NoDerivatives| 4.0 International License Biogeosciences, 10, 6677–6698, 2013 Open Access www.biogeosciences.net/10/6677/2013/ doi:10.5194/bg-10-6677-2013 Biogeosciences © Author(s) 2013. CC Attribution 3.0 License. Indian Ocean Dipole and El Niño/Southern Oscillation impacts on regional chlorophyll anomalies in the Indian Ocean J. C. Currie1,2, M. Lengaigne3, J. Vialard3, D. M. Kaplan4, O. Aumont5, S. W. A.
    [Show full text]
  • NANOOS Asset List 1 National Oceanic and Atmospheric
    NANOOS Asset List 2008 NANOOS Asset List 1 National Oceanic and Atmospheric Administration 1.1 The CoastWatch West Coast Regional Node http://coastwatch.pfel.noaa.gov Daily – Monthly composites of satellite observations Sea Surface Temperature (GOES & POES) Ocean Color (MODIS and SeaWiFS) Ocean Winds (QuikSCAT) 1.2 The National Data Buoy Center http://seaboard.ndbc.noaa.gov/maps/Northwest.shtml 6 Minute – Hourly buoy observations Meteorological Observations (Air Temp., Pressure, Wind Speed and Direction) Ocean Observations (Water Temp., Wave Height, Period and Direction) 1.3 The Center for Operational Oceanographic Products and Services http://tidesandcurrents.noaa.gov http://opendap.co-ops.nos.noaa.gov/content 6 Minute near-shore station observations Meteorological Observations (Air Temp., Pressure, Wind Speed and Direction) Ocean Observations (Water Temp., Water Level) 1.4 NOAAWatch http://www.noaawatch.gov Information related to ongoing environmental events NOAAWatch themes include Air Quality, Droughts, Earthquakes, Excessive Heat, Fire, Flooding, Harmful Algal Blooms (HABs), Oil Spills, Rip Currents, Severe Weather, Space Weather, Tsunamis, and Volcanoes 1.5 National Weather Service http://www.weather.gov Environmental observations and forecasts Coastal and Marine Forecasts Weather Warnings 1 NANOOS Asset List 2008 Surface Pressure Maps Coastal and Marine Observations (Wind, Visibility, Sky Conditions, Temperature, Dew Point, Relative Humidity, Atmospheric Pressure, Pressure tendency) GOES Satellite Observations (Visible,
    [Show full text]
  • Part II-1 Water Wave Mechanics
    Chapter 1 EM 1110-2-1100 WATER WAVE MECHANICS (Part II) 1 August 2008 (Change 2) Table of Contents Page II-1-1. Introduction ............................................................II-1-1 II-1-2. Regular Waves .........................................................II-1-3 a. Introduction ...........................................................II-1-3 b. Definition of wave parameters .............................................II-1-4 c. Linear wave theory ......................................................II-1-5 (1) Introduction .......................................................II-1-5 (2) Wave celerity, length, and period.......................................II-1-6 (3) The sinusoidal wave profile...........................................II-1-9 (4) Some useful functions ...............................................II-1-9 (5) Local fluid velocities and accelerations .................................II-1-12 (6) Water particle displacements .........................................II-1-13 (7) Subsurface pressure ................................................II-1-21 (8) Group velocity ....................................................II-1-22 (9) Wave energy and power.............................................II-1-26 (10)Summary of linear wave theory.......................................II-1-29 d. Nonlinear wave theories .................................................II-1-30 (1) Introduction ......................................................II-1-30 (2) Stokes finite-amplitude wave theory ...................................II-1-32
    [Show full text]
  • Sea State in Marine Safety Information Present State, Future Prospects
    Sea State in Marine Safety Information Present State, future prospects Henri SAVINA – Jean-Michel LEFEVRE Météo-France Rogue Waves 2004, Brest 20-22 October 2004 JCOMM Joint WMO/IOC Commission for Oceanography and Marine Meteorology The future of Operational Oceanography Intergovernmental body of technical experts in the field of oceanography and marine meteorology, with a mandate to prepare both regulatory (what Member States shall do) and guidance (what Member States should do) material. TheThe visionvision ofof JCOMMJCOMM Integrated ocean observing system Integrated data management State-of-the-art technologies and capabilities New products and services User responsiveness and interaction Involvement of all maritime countries JCOMM structure Terms of Reference Expert Team on Maritime Safety Services • Monitor / review operations of marine broadcast systems, including GMDSS and others for vessels not covered by the SOLAS convention •Monitor / review technical and service quality standards for meteo and oceano MSI, particularly for the GMDSS, and provide assistance and support to Member States • Ensure feedback from users is obtained through appropriate channels and applied to improve the relevance, effectiveness and quality of services • Ensure effective coordination and cooperation with organizations, bodies and Member States on maritime safety issues • Propose actions as appropriate to meet requirements for international coordination of meteorological and related communication services • Provide advice to the SCG and other Groups of JCOMM on issues related to MSS Chair selected by Commission. OPEN membership, including representatives of the Issuing Services for GMDSS, of IMO, IHO, ICS, IMSO, and other user groups GMDSS Global Maritime Distress & Safety System Defined by IMO for the provision of MSI and the coordination of SAR alerts on a global basis.
    [Show full text]
  • Sea State Effect on the Sea Surface Emissivity at L-Band
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by UPCommons. Portal del coneixement obert de la UPC IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 41, NO. 10, OCTOBER 2003 2307 Sea State Effect on the Sea Surface Emissivity at L-Band Jorge José Miranda, Mercè Vall-llossera, Member, IEEE, Adriano Camps, Senior Member, IEEE, Núria Duffo, Member, IEEE, Ignasi Corbella, Member, IEEE, and Jacqueline Etcheto Abstract—In May 1999, the European Space Agency (ESA) temperature images will provide looks of the same pixel under selected the Earth Explorer Opportunity Soil Moisture and incidence angles from 0 to almost 65 , which requires the Ocean Salinity (SMOS) mission to obtain global and frequent soil development of soil and sea emission models in the whole moisture and ocean salinity maps. SMOS single payload is the Microwave Imaging Radiometer by Aperture Synthesis (MIRAS), range of incidence angles, and suitable geophysical parameters an L-band two-dimensional aperture synthesis radiometer with retrieval algorithms. multiangular observation capabilities. At L-band, the brightness The dielectric permittivity for seawater is determined, among temperature sensitivity to the sea surface salinity (SSS) is low, other variables, by salinity. Therefore, in principle, it is possible approximately 0.5 K/psu at 20 C, decreasing to 0.25 K/psu at to retrieve SSS from passive microwave measurements as long 0 C, comparable to that to the wind speed 0.2 K/(m/s) at nadir. However, at a given time, the sea state does not depend only as the variables influencing the brightness temperature (TB) on local winds, but on the local wind history and the presence signal (sea surface temperature, roughness, and foam) can be of waves traveling from far distances.
    [Show full text]
  • Marine Forecasting at TAFB [email protected]
    Marine Forecasting at TAFB [email protected] 1 Waves 101 Concepts and basic equations 2 Have an overall understanding of the wave forecasting challenge • Wave growth • Wave spectra • Swell propagation • Swell decay • Deep water waves • Shallow water waves 3 Wave Concepts • Waves form by the stress induced on the ocean surface by physical wind contact with water • Begin with capillary waves with gradual growth dependent on conditions • Wave decay process begins immediately as waves exit wind generation area…a.k.a. “fetch” area 4 5 Wave Growth There are three basic components to wave growth: • Wind speed • Fetch length • Duration Wave growth is limited by either fetch length or duration 6 Fully Developed Sea • When wave growth has reached a maximum height for a given wind speed, fetch and duration of wind. • A sea for which the input of energy to the waves from the local wind is in balance with the transfer of energy among the different wave components, and with the dissipation of energy by wave breaking - AMS. 7 Fetches 8 Dynamic Fetch 9 Wave Growth Nomogram 10 Calculate Wave H and T • What can we determine for wave characteristics from the following scenario? • 40 kt wind blows for 24 hours across a 150 nm fetch area? • Using the wave nomogram – start on left vertical axis at 40 kt • Move forward in time to the right until you reach either 24 hours or 150 nm of fetch • What is limiting factor? Fetch length or time? • Nomogram yields 18.7 ft @ 9.6 sec 11 Wave Growth Nomogram 12 Wave Dimensions • C=Wave Celerity • L=Wave Length •
    [Show full text]
  • Waves and Structures
    WAVES AND STRUCTURES By Dr M C Deo Professor of Civil Engineering Indian Institute of Technology Bombay Powai, Mumbai 400 076 Contact: [email protected]; (+91) 22 2572 2377 (Please refer as follows, if you use any part of this book: Deo M C (2013): Waves and Structures, http://www.civil.iitb.ac.in/~mcdeo/waves.html) (Suggestions to improve/modify contents are welcome) 1 Content Chapter 1: Introduction 4 Chapter 2: Wave Theories 18 Chapter 3: Random Waves 47 Chapter 4: Wave Propagation 80 Chapter 5: Numerical Modeling of Waves 110 Chapter 6: Design Water Depth 115 Chapter 7: Wave Forces on Shore-Based Structures 132 Chapter 8: Wave Force On Small Diameter Members 150 Chapter 9: Maximum Wave Force on the Entire Structure 173 Chapter 10: Wave Forces on Large Diameter Members 187 Chapter 11: Spectral and Statistical Analysis of Wave Forces 209 Chapter 12: Wave Run Up 221 Chapter 13: Pipeline Hydrodynamics 234 Chapter 14: Statics of Floating Bodies 241 Chapter 15: Vibrations 268 Chapter 16: Motions of Freely Floating Bodies 283 Chapter 17: Motion Response of Compliant Structures 315 2 Notations 338 References 342 3 CHAPTER 1 INTRODUCTION 1.1 Introduction The knowledge of magnitude and behavior of ocean waves at site is an essential prerequisite for almost all activities in the ocean including planning, design, construction and operation related to harbor, coastal and structures. The waves of major concern to a harbor engineer are generated by the action of wind. The wind creates a disturbance in the sea which is restored to its calm equilibrium position by the action of gravity and hence resulting waves are called wind generated gravity waves.
    [Show full text]
  • Air-Sea Interaction and Surface Waves
    712 Air-Sea Interaction and Surface Waves Peter A.E.M. Janssen, Øyvind Breivik, Kristian Mogensen, Frédéric Vitart, Magdalena Balmaseda, Jean-Raymond Bidlot, Sarah Keeley, Martin Leutbecher, Linus Magnusson, and Franco Molteni. Research Department November 2013 Series: ECMWF Technical Memoranda A full list of ECMWF Publications can be found on our web site under: http://www.ecmwf.int/publications/ Contact: [email protected] ©Copyright 2013 European Centre for Medium-Range Weather Forecasts Shinfield Park, Reading, RG2 9AX, England Literary and scientific copyrights belong to ECMWF and are reserved in all countries. This publication is not to be reprinted or translated in whole or in part without the written permission of the Director- General. Appropriate non-commercial use will normally be granted under the condition that reference is made to ECMWF. The information within this publication is given in good faith and considered to be true, but ECMWF accepts no liability for error, omission and for loss or damage arising from its use. Air-Sea Interaction and Surface Waves 1 Introduction Presently we are developing a coupled earth system model that allows for efficient, sequential interaction of the ocean/sea-ice, atmosphere and ocean waves components, and, therefore it becomes feasible to introduce sea state effects on the upper ocean mixing and dynamics (Mogensen et al., 2012). By the end of 2013, a first version of this system will be introduced in operations in the medium-range/monthly ensemble forecasting system. The main purpose of this operational change is that coupling between atmosphere and ocean is switched on from initial time, rather than from day 9-10 in the forecast.
    [Show full text]
  • Diurnal Cycle of Precipitation Amount and Frequency in Sweden: Observation Versus Model Simulation
    SERIES A DYNAMIC METEOROLOGY AND OCEANOGRAPHY PUBLISHED BY THE INTERNATIONAL METEOROLOGICAL INSTITUTE IN STOCKHOLM Tellus (2011), 63A, 664–674 C 2011 The Authors Tellus A C 2011 John Wiley & Sons A/S Printed in Singapore. All rights reserved TELLUS Diurnal cycle of precipitation amount and frequency in Sweden: observation versus model simulation ∗ By JEE-HOON JEONG1 ,ALEXANDER WALTHER1,GRIGORY NIKULIN2, DELIANG CHEN1,† and C O LIN JO N ES 2, 1Department of Earth Sciences, University of Gothenburg, Box 460, SE-405 30 Gothenburg, Sweden; 2Rossby Centre, SMHI, SE-601 76 Norrkoping,¨ Sweden (Manuscript received 31 July 2010; in final form 26 January 2011) ABSTRACT This study investigated the diurnal cycle of precipitation in Sweden using hourly ground observations for 1996–2008. General characteristics of phase and amplitude for the diurnal cycle of precipitation, both in amount and frequency, were identified. In the warm season (April–September), the ‘typical’ afternoon (14–16 LST) peaks are dominant over inland Sweden, whereas late night to early morning (04–06 LST) peaks with relatively weak amplitude are discernable in the east coast along the Baltic Sea. The diurnal variation is almost negligible in the cold season (October–March), due to the weak solar radiation at high latitudes. The variations of convective activity forced by solar heating and modulated by geographical characteristics were suggested as primarily factors to invoke the cycles and spatial variation identified. The observed cycle was compared with the cycle simulated by a regional climate model. The model fairly well captures the spatial pattern of the phase of the diurnal cycle. However, the warm season afternoon peak is simulated too early and too uniformly across the stations, associated with too frequent occurrences of convective rainfall events with relatively light intensity.
    [Show full text]
  • Understanding Diurnal Cycle Mode Intensification and Its Effect on Interannual and Interdecadal Warm Season Precipitation Trends Over the U.S
    Iowa State University Capstones, Theses and Graduate Theses and Dissertations Dissertations 2018 Understanding diurnal cycle mode intensification and its effect on interannual and interdecadal warm season precipitation trends over the U.S. Corn Belt Amanda Black Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/etd Part of the Meteorology Commons Recommended Citation Black, Amanda, "Understanding diurnal cycle mode intensification and its effect on interannual and interdecadal warm season precipitation trends over the U.S. Corn Belt" (2018). Graduate Theses and Dissertations. 16791. https://lib.dr.iastate.edu/etd/16791 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Graduate Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. Understanding diurnal cycle mode intensification and its effect on interannual and interdecadal warm season precipitation trends over the U.S. Corn Belt by Amanda Suzanne Black A dissertation submitted to the graduate faculty in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Major: Meteorology Program of Study Committee: Xiaoqing Wu, Major Professor Tsing-Chang Chen Gene S. Takle Raymond W. Arritt William J. Gutowski The student author, whose presentation of the scholarship herein was approved by the program of study committee, is solely responsible for the content of this dissertation. The Graduate College will ensure this dissertation is globally accessible and will not permit alterations after a degree is conferred.
    [Show full text]
  • 6 Water Waves 35 6 Water Waves
    6 WATER WAVES 35 6 WATER WAVES Surface waves in water are a superb example of a stationary and ergodic random process. The model of waves as a nearly linear superposition of harmonic components, at random phase, is confirmed by measurements at sea, as well as by the linear theory of waves, the subject of this section. We will skip some elements of fluid mechanics where appropriate, and move quickly to the cases of two-dimensional, inviscid and irrotational flow. These are the major assumptions that enable the linear wave model. 6.1 Constitutive and Governing Relations First, we know that near the sea surface, water can be considered as incompressible, and that the density ½ is nearly uniform. In this case, a simple form of conservation of mass will hold: @u @v @w + + = 0; @x @y @z where the Cartesian space is [x; y; z], with respective particle velocity vectors [u; v; w]. In words, the above equation says that net flow into a differential volume has to equal net flow out of it. Considering a box of dimensions [±x; ±y; ±z], we see that any ±u across the x-dimension, has to be accounted for by ±v and ±w: ±u±y±z + ±v±x±z + ±w±x±y = 0: w + Gw v + Gv Gy z y Gx u u + Gu x Gz v w Next, we invoke Newton’s law, in the three directions: " # " # @u @u @u @u @p @2u @2u @2u ½ + u + v + w = ¡ + ¹ + + ; @t @x @y @z @x @x2 @y2 @z2 " # " # @v @v @v @v @p @2v @2v @2v ½ + v + w + u = ¡ + ¹ + + ; @t @x @y @z @y @x2 @y2 @z2 " # " # @w @w @w @w @p @2w @2w @2w ½ + w + u + v = ¡ + ¹ + + ¡ ½g: @t @x @y @z @z @x2 @y2 @z2 6 WATER WAVES 36 Here the left-hand side of each equation is the acceleration of the fluid particle, as it moves @u through the differential volume.
    [Show full text]
  • Realistic Simulation of Ocean Surface Using Wave Spectra Jocelyn Fréchot
    Realistic simulation of ocean surface using wave spectra Jocelyn Fréchot To cite this version: Jocelyn Fréchot. Realistic simulation of ocean surface using wave spectra. Proceedings of the First International Conference on Computer Graphics Theory and Applications (GRAPP 2006), 2006, Por- tugal. pp.76–83. hal-00307938 HAL Id: hal-00307938 https://hal.archives-ouvertes.fr/hal-00307938 Submitted on 29 Jul 2008 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. REALISTIC SIMULATION OF OCEAN SURFACE USING WAVE SPECTRA Jocelyn Frechot´ LaBRI - Laboratoire bordelais de recherche en informatique Domaine universitaire, 351 cours de la Liber´ ation, 33405 Talence CEDEX, France [email protected] Keywords: Natural phenomena, realistic ocean waves, procedural animation, parametric energy spectra Abstract: We present a method to simulate ocean surfaces away from the coast, with correct statistical wave height and direction distributions. By using classical oceanographic parametric wave spectra, our results fit real world measurements, without depending on them. Since wave spectra are independent of the ocean model, Gerstner parametric equations and Fourier transform method can be used with them. Moreover, since they are simple to use and need very few parameters, they allow easy production of ocean surface animations usable in movies and games.
    [Show full text]