Numerical Weather Prediction and Data Assimilation. Petros Katsafados

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       Engineering, Energy and Architecture Set

      coordinated by

      Lazaros E. Mavromatidis

      Volume 6

       Numerical Weather Prediction and Data Assimilation

      Petros Katsafados

      Elias Mavromatidis

      Christos Spyrou

      First published 2020 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.

      Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:

      ISTE Ltd

      27-37 St George’s Road

      London SW19 4EU

      UK

       www.iste.co.uk

      John Wiley & Sons, Inc.

      111 River Street

      Hoboken, NJ 07030

      USA

       www.wiley.com

      © ISTE Ltd 2020

      The rights of Petros Katsafados, Elias Mavromatidis and Christos Spyrou to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.

      Library of Congress Control Number: 2020931739

      British Library Cataloguing-in-Publication Data

      A CIP record for this book is available from the British Library

      ISBN 978-1-78630-141-3

      Preface

      This book reflects the need to provide fundamental knowledge about theoretical and applied numerical weather prediction (NWP) and data assimilation (DA). It has been written to support undergraduates and graduates in atmospheric or Earth sciences and introduce students to elementary atmospheric dynamics and modeling, finite difference methods, numerical parameterizations, and optimization methods. This book has a more introductory and applied approach to the methods and techniques for NWP. It also includes essential materials for meteorological DA and modeling of the desert dust cycle in the atmospheric environment. Emission patterns, advection methods and deposition processes are all deployed in the chapter describing the desert dust cycle. The final chapter consists of real case studies simulating extreme weather events and a dust outbreak in hindcasting, nowcasting and forecasting modes.

      This book is divided into six main chapters and two appendices. Apart from a brief introduction to NWP and DA in the Introduction, the theoretical material is covered in Chapters 14. The primitive equations governing the main atmospheric motions are analytically presented in Chapter 1, and the methods of solutions and finite difference schemes are included in Chapter 2. The implementation of the primitive equations on grid structures with boundary condition treatment is presented in Chapter 3. DA including successive correction methods and the variational approach with simple examples are introduced in Chapter 4. Chapter 5 is devoted to the analysis and modeling of desert dust processes, as well as a review of the parameterizations of dust feedbacks on climate. Finally, the simulations of three extreme weather events and a desert dust outbreak are presented in Chapter 6. The cases have been chosen as paradigms of phenomena on different time and spatial scales and to explore how such processes are eventually resolved in an atmospheric simulation. The appendices are presented at the end of this book, which include the basics of vector analysis and transformations into a rotating coordinate system, as well as turbulent diffusion and planetary boundary layer parameterizations.

      Acknowledgments: We are indebted to a number of colleagues and PhD candidates for their contributions during the preparation of this book. Dr. George Varlas, Ms. E. Papadopoulou, Ms. V. M. Nomikou and Ms. A. Pappa are all acknowledged for their contributions to performing a part of the embedded simulations and results analysis. The European Centre for Medium Range Weather Forecasts (ECMWF), the National Center for Environmental Predictions (NCEP) and the National Oceanic and Atmospheric Administration (NOAA) are acknowledged for providing gridded analyses and climatologies, as well as surface observational data. The National Center for Atmospheric Research (NCAR) and the University Corporation for Atmospheric Research (UCAR) are also acknowledged for making available to us the Community Atmosphere Model version 3 (CAM3) and the Weather Research and Forecasting (WRF) model. Finally, we are grateful to the Hellenic National Meteorological Service (HNMS) and the National Observatory of Athens (NOA) for providing the precipitation measurements used in the case study of nowcasting in Chapter 6.

      Petros KATSAFADOS

      Elias MAVROMATIDIS

      Christos SPYROU

      February 2020

      Introduction

      Numerical weather prediction (NWP) is the state-of-the-art method for supporting atmospheric modeling and weather forecasting that combines a set of differential equations, describing grid scale motions, with parameterizations of the non-physically resolved processes usually deployed in the sub-grid scale. All of these are applied to a geographical domain with specific resolution and integrated on the basis of initial and domain boundary conditions. The set of differential equations govern changes in the motion and thermodynamics of the atmosphere, which are derived from conservation laws of mass, momentum, energy and

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