Large-Scale Atmosphere-Ocean Dynamics: Volume 1 : Analytical Methods and Numerical Models

個数:

Large-Scale Atmosphere-Ocean Dynamics: Volume 1 : Analytical Methods and Numerical Models

  • 提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
    重要ご説明事項
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【重要:入荷遅延について】
    ウクライナ情勢悪化・新型コロナウィルス感染拡大により、洋書・洋古書の入荷が不安定になっています。詳しくはこちらをご確認ください。
    海外からのお取り寄せの場合、弊社サイト内で表示している標準的な納期よりもお届けまでに日数がかかる見込みでございます。
    申し訳ございませんが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • 製本 Hardcover:ハードカバー版/ページ数 402 p.
  • 言語 ENG
  • 商品コード 9780521806817
  • DDC分類 551.51

Full Description

Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in these volumes examine and explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations, such as groups of transformations, Hamiltonian structure and stability. This 2002 book and its companion show how geometry and analysis facilitate solution strategies.

Contents

Introduction J. C. R. Hunt, J. Norbury and I. Roulstone; 1. A view of the equations of meteorological dynamics and various approximations A. A. White; 2. Extended-geostrophic Euler-Poincaré models for mesoscale oceanographic flow J. S. Allen, D. D. Holm and P. A. Newberger; 3. Fast singular oscillating limits of stably stratified three-dimensional Euler-Boussinesq equations and ageostrophic wave fronts A. Babin, A. Mahalov and B. Nicolaenko; 4. New mathematical developments in atmosphere and ocean dynamics, and their application to computer simulations M. J. P. Cullen; 5. Rearrangements of functions with applications to meteorology and ideal fluid flow R. J. Douglas; 6. Statistical methods in atmospheric dynamics: probability metrics and discrepancy measures as a means of defining balance S. Baigent and J. Norbury.