Mesoscale Meteorological Modeling

Pielke, Roger A., Sr.

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Table of contents
  • Cover
  • Copyright Pageiv
  • Contentsv
  • Prefaceix
  • Preface to Second Editionxiii
  • Forewordxv
  • Chapter 1. Introduction1
  • Chapter 2. Basic Set of Equations3
  • 2.1 Conservation of Mass3
  • 2.2 Conservation of Heat5
  • 2.3 Conservation of Motion13
  • 2.4 Conservation of Water17
  • 2.5 Conservation of Other Gaseous and Aerosol Materials18
  • 2.6 Summary18
  • Chapter 3. Simplification of the Basic Equations22
  • 3.1 Conservation of Mass22
  • 3.2 Conservation of Motion29
  • 3.3 Conservation of Motion29
  • 3.4 Conservation of Water and Other Gaseous and Aerosol Contaminants39
  • Chapter 4. Averaging the Conservation Relations41
  • 4.1 Definition of Averages41
  • 4.2 Vorticity Equation49
  • 4.3 Diagnostic Equation for Nonhydrostatic Pressure51
  • 4.4 Scaled Pressure Form53
  • 4.5 Summary55
  • Chapter 5. Physical and Analytic Modeling58
  • 5.1 Physical Models59
  • 5.2 Linear Models65
  • 5.3 Long’s Analytic Solution to Nonlinear Momentum Flow112
  • Chapter 6. Coordinate Transformations122
  • 6.1 Tensor Analysis122
  • 6.2 Generalized Vertical Coordinate130
  • 6.3 The Sigma-z Coordinate System138
  • 6.4 Derivation of Drainage Flow Equations Using Two Different Coordinate Representations153
  • 6.5 Summary158
  • 6.6 Application of Terrain-Following Coordinate Systems160
  • Chapter 7. Parameterization-Averaged Subgrid-Scale Fluxes164
  • 7.1 Basic Terms166
  • 7.2 Surface-Layer Parameterization172
  • 7.3 Planetary Boundary-Layer Parameterization185
  • 7.4 Heterogenous Boundary Layers202
  • Chapter 8. Averaged Radiation Flux Divergence210
  • 8.1 Introduction210
  • 8.2 Basic Concepts210
  • 8.3 Longwave Radiative Flux214
  • 8.4 Shortwave Radiative Flux233
  • 8.5 Examples of Parameterizations and Level of Complexity247
  • Chapter 9. Parameterization of Moist Thermodynamic Processes251
  • 9.1 Introduction251
  • 9.2 Parameterization of the Influences of Phase Changes of Water in a Convectively Stable Atmosphere253
  • 9.3 Parameterization of the Influences of Phase Changes of Water in a Convectively Unstable Atmosphe261
  • 9.4 Examples of Parameterizations and Level of Complexity273
  • Chapter 10. Methods of Solution281
  • 10.1 Finite Difference Schemes„An Introduction282
  • 10.2 Upstream Interpolation Schemes„An Introduction316
  • 10.3 Diagnostic Equations326
  • 10.4 Time Splitting329
  • 10.5 Nonlinear Effects330
  • 10.6 Summary342
  • Chapter 11. Boundary and Initial Conditions347
  • 11.1 Grid and Domain Structure347
  • 11.2 Initialization364
  • 11.3 Spatial Boundary Conditions379
  • Chapter 12. Model Evaluation442
  • 12.1 Evaluation Criteria442
  • 12.2 Comparison with Analytic Theory443
  • 12.3 Comparison with Other Numerical Models445
  • 12.4 Comparison Against Different Model Formulations446
  • 12.5 Calculation of Model Budgets454
  • 12.6 Comparison with Observations462
  • 12.7 Model Sensitivity Analyses469
  • Chapter 13. Examples of Mesoscale Models472
  • 13.1 Terrain-Induced Mesoscale Systems473
  • 13.2 Synoptically-Induced Mesoscale Systems514
  • Appendix A: The Solution of Eqs. (10-28) and (10-47)531
  • Appendix B: Model Summaries534
  • Appendix C: Summary of Several Cumulus Cloud Parameterization Schemes550
  • Appendix D: BATS, LAPS, and LEAF Comparison Tables556
  • Appendix E: Summary of Datasets (2000)570
  • References571
  • Index661
  • List of Volumes in the Series673
Book details
  • Vendor Elsevier S & T
  • SKU 9780125547666
  • ISBN-13 9780080491820
  • Author Pielke, Roger A., Sr.
  • Edition 2nd
  • Category Nature
  • Subject Weather

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The second edition of Mesoscale Meteorological Modeling is a fully revised resource for researchers and practitioners in the growing field of meteorological modeling at the mesoscale. Pielke has enhanced the new edition by quantifying model capability (uncertainty) by a detailed evaluation of the assumptions of parameterization and error propagation. Mesoscale models are applied in a wide variety of studies, including weather prediction, regional and local climate assessments, and air pollution investigations.