From Gerris

Contents 1 Ideas for chapters 2 Random thoughts 3 Typical layout of a chapter 4 Overall contents 5 Editing

Ideas for chapters

• chaos par doublement de periode: allee de Von Karman
  • stabilite lineaire: solution de base de Jerome
  • bifurcations
• autosimilarite: pincement de Plateau--Rayleigh
• turbulence 2D: vortex merging, random vorticity, turbulence cascades
• non-newtonian rheology: granular materials, blood circulation
• ondes de gravite, chocs: Saint-Venant, tsunamis, analogie avec Euler compressible
• liquid rope: Stokes flows, fluids as solids, flambement
• shallow-water on a rotating spere: ondes de Rossby, atmospheric modes
• jets in bubbles: tension de surface
• retraction of a liquid sheet
• fluid-structure interaction: peristaltic pump, links with biomechanics etc...

Random thoughts

• experimental pictures
• fluids are everywhere
• strong link between physical and numerical experiments
• pick (cool) examples which illustrate key concepts from physics
• need to find a good storyline linking each example in a consistent overall narrative i.e. this is a book not a set of disconnected "web pages"
• need to be fun but also make the reader work ("les mains a la pate")
• this is one of the key point: a science book which comes with everyting required to setup and run the experiments
• this is also related to reusing concepts introduced early in the book in latter chapters: progression simple -> complex
• keep the Gerris interactive part as simple as possible (GUI? robustness? portability? windows/mac, web app?)
• Seek Marsden funding?
• UPMC funding? (link with IDA-NIWA agrrement)

Typical layout of a chapter

1. intro: the question/problem etc...
2. historical perspective
3. experimental results/cool pictures
4. numerical experiment setup
5. hypothesis (simple)
6. testing it with the numerical experiment
7. hypothesis (refined)
8. testing the refined version of the theory
9. openings: what is not so well understood yet, what isn't understood at all
10. introduction to further reading
11. references

Overall contents

1. intro
2. how to use the book: shortest as possible intro to using Gerris for the numerical experiments
3. 10 chapters, 15 (not dense) pages each
4. conclusion!
5. < 150 pages

Maybe write more than 10 chapters and select the 10 best ones...

Must it follow a teaching book? (students = future users)

Models to follow? (Hulin "Hydrodynamics"

Could involve many authors (i.e. one or more for each chapter) but ultimately each chapter should be rewritten by a few (one?) author to give a very consistent "book" feel (style etc...). We don't want one of these multi-authors "proceedings" book. Need to agree on this from the outset (chapter authors still need to feel "ownership" of their chapters even though it's largely rewritten in the end).

Editing

• PDF can include movies, scripts, web links, 3D models, sound etc... exploiting this we could have a portable multimedia book (but still printable).
• See Guardian article by Marcus du Sautoy
• Include lots of supporting material (web links) for the more technical aspects (e.g. scripting, Gerris stuff etc...)
• free PDF
• proper paper version + proper publisher
• test the draft book on colleagues and students
• test on e-books
• may need somebody who masters web applications etc...