Book contents
- Frontmatter
- Dedication
- Contents
- List of Figures
- Foreword
- Preface
- 1 Partial Differential Equations
- 2 Equations of Fluid Motion
- 3 Finite Difference Method
- 4 Consistency and Stability Analysis
- 5 Oscillation and Decay Equations
- 6 Linear Advection Equation
- 7 Numerical Solution of Elliptic Partial Differential Equations
- 8 Shallow Water Equations
- 9 Numerical Methods for Solving Shallow Water Equations
- 10 Numerical Methods for Solving Barotropic Equations
- 11 Numerical Methods for Solving Baroclinic Equations
- 12 Boundary Conditions
- 13 Lagrangian and Semi-Lagrangian Schemes
- 14 Spectral Methods
- 15 Finite Volume and Finite Element Methods
- 16 Ocean Models
- Appendix: Tridiagonal Matrix Algorithm
- Bibliography
- Index
Foreword
Published online by Cambridge University Press: 22 February 2022
- Frontmatter
- Dedication
- Contents
- List of Figures
- Foreword
- Preface
- 1 Partial Differential Equations
- 2 Equations of Fluid Motion
- 3 Finite Difference Method
- 4 Consistency and Stability Analysis
- 5 Oscillation and Decay Equations
- 6 Linear Advection Equation
- 7 Numerical Solution of Elliptic Partial Differential Equations
- 8 Shallow Water Equations
- 9 Numerical Methods for Solving Shallow Water Equations
- 10 Numerical Methods for Solving Barotropic Equations
- 11 Numerical Methods for Solving Baroclinic Equations
- 12 Boundary Conditions
- 13 Lagrangian and Semi-Lagrangian Schemes
- 14 Spectral Methods
- 15 Finite Volume and Finite Element Methods
- 16 Ocean Models
- Appendix: Tridiagonal Matrix Algorithm
- Bibliography
- Index
Summary
It is with great pleasure and admiration for the author, Professor A. Chandrasekar, that I undertake this task of writing the Foreword to his second book, entitled Numerical Methods for Atmospheric and Oceanic Sciences published by Cambridge University Press. After completing his PhD in Applied Mathematics from the Indian Institute of Science, Bangalore, India in 1988, his journey into the vast landscape of atmospheric and oceanic sciences began with a faculty assignment in the Department of Physics and Meteorology, Indian Institute of Technology, Kharagpur, India, where he was a member of the faculty for a little over two decades. Soon, he was called on to direct the newly created Center for Oceans, Rivers, Atmosphere and Land Sciences at the Indian Institute of Technology, Kharagpur, India, a position he held for a year. Over the recent past twelve years he has been on the faculty at the Indian Institute of Space Science and Technology, Tiruvananthapuram, India, where he has held numerous teaching and administrative positions. Despite the demands of administration at various levels at different institutions of higher learning in India, he never lost sight of the fact he was a teacher first and has taught a two-level system of graduate courses – basics of atmospheric and ocean dynamics and numerical methods for solving the atmospheric model equations – on a continuous basis for over three decades. It is these years of experience in classroom teaching that resulted in his first book on basic dynamics and now this second book on the latter topic. For an aspiring graduate student this book represents a one stop shopping option. The style is very engaging, and it is as though he is talking directly to the students. The opening two chapters provide a broad overview of the standard models of interest in atmospheric and ocean sciences. A detailed account of various grid configurations, attendant discretization schemes and the associated error and stability analyses are covered in the next two chapters. Examples of discretization of equations for damped oscillators, linear advection, shallow water barotropic, and baroclinic models along with the use of staggered grids are systematically and thoroughly covered in the next set of seven chapters. Extensive discussion of the ways to handle the boundary conditions along with Lagrangian and semi-Lagrangian methods are contained in the following two chapters.
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- Numerical Methods for Atmospheric and Oceanic Sciences , pp. xxvii - xxviiiPublisher: Cambridge University PressPrint publication year: 2022