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. VIII - REVIEW OF OPERATIONS IN SEQUENCE
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
GENERAL
In writing the chapter on the fundamental equations the ideal was to obtain a description of atmospheric phenomena which should be in the first place correct, and which, secondly, might be used in prediction. Here in Chapter 8 the order of emphasis is reversed. The ideal is now to make a scheme first workable and secondly as exact as circumstances permit. After a new machine has emerged from the experimental stage, its workability is tested by the cost and the value of its product, by its satisfaction of human needs. But the present scheme has not yet emerged. The questions still are: does it conform to the nature of the external world? will the wheels go round at all? So the essence of workability is here taken to be that, when we have made a step forward in time, we should find ourselves provided with the data for making the next step. The initial data are arranged in a pattern which, by borrowing a term from crystallography, we may call a “space-lattice.” Wherever in the lattice a pressure was given, there the numerical process must yield a pressure. And so for all the other meteorological elements. Such a numerical process will be referred to as a “lattice-reproducing process.” All other processes have been rejected. There is an exception, as we have seen in Chapter 2, at the edge of the map covered by the lattice.
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- Weather Prediction by Numerical Process , pp. 156 - 180Publisher: Cambridge University PressPrint publication year: 2007