Book contents
- Frontmatter
- FOREWORD
- Contents
- PREFACE
- GUIDING SIGNS
- CHAP. I SUMMARY
- CHAP. II INTRODUCTORY EXAMPLE
- CHAP. III THE CHOICE OF COORDINATE DIFFERENCES
- CHAP. IV THE FUNDAMENTAL EQUATIONS
- CHAP. V FINDING THE VERTICAL VELOCITY
- CHAP. VI SPECIAL TREATMENT FOR THE STRATOSPHERE
- CHAP. VII THE ARRANGEMENT OF POINTS AND INSTANTS
- CHAP. VIII REVIEW OF OPERATIONS IN SEQUENCE
- CHAP. IX AN EXAMPLE WORKED ON COMPUTING FORMS
- CHAP. X SMOOTHING THE INITIAL DATA
- CHAP. XI SOME REMAINING PROBLEMS
- CHAP. XII UNITS AND NOTATION
- INDEX OF PERSONS
- INDEX OF SUBSIDIARY SUBJECTS
CHAP. X - SMOOTHING THE INITIAL DATA
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- FOREWORD
- Contents
- PREFACE
- GUIDING SIGNS
- CHAP. I SUMMARY
- CHAP. II INTRODUCTORY EXAMPLE
- CHAP. III THE CHOICE OF COORDINATE DIFFERENCES
- CHAP. IV THE FUNDAMENTAL EQUATIONS
- CHAP. V FINDING THE VERTICAL VELOCITY
- CHAP. VI SPECIAL TREATMENT FOR THE STRATOSPHERE
- CHAP. VII THE ARRANGEMENT OF POINTS AND INSTANTS
- CHAP. VIII REVIEW OF OPERATIONS IN SEQUENCE
- CHAP. IX AN EXAMPLE WORKED ON COMPUTING FORMS
- CHAP. X SMOOTHING THE INITIAL DATA
- CHAP. XI SOME REMAINING PROBLEMS
- CHAP. XII UNITS AND NOTATION
- INDEX OF PERSONS
- INDEX OF SUBSIDIARY SUBJECTS
Summary
We are not concerned to know all about the weather, nor even to trace the entangled detail of the path of every air-particle. A judicious selection is necessary for our peace of mind. For some such reason it is customary, at stations which report wind by telegraph, to replace the instantaneous velocity by a mean value over about ten minutes. An extension of this process must be contemplated, for there is a good deal of evidence to show that the wind is full of small “secondary cyclones” or other whirls having the most various diameters. The arithmetical process can only take account individually of such whirls as have diameters greater than the distance between the centres of the red chequers in our co-ordinate chessboard, and this length has been taken provisionally as 400 km.
If we smooth out these whirls we shall have to make amends by introducing suitable eddy-diffusivities. So far meteorologists do not appear to have attended to eddy-diffusivities of this kind. We shall refer to them again in Ch. 11/4.
The evidence for the existence of such eddies includes the following:
(i) The impossible rate of accumulation of air deduced in Ch. 9.3 from observations at three stations.
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- Weather Prediction by Numerical Process , pp. 214 - 216Publisher: Cambridge University PressPrint publication year: 2007