- Classical and Quantum Chaos, A Cyclist Treatise - Predrag Cvitanovic'
An online textbook on chaotic systems and dynamics, including exercises, solutions, and a guide to related literature. Read the book online in hyperlinked PDF format, or download it as a gzipped PostScript file. By the CATS cyclist team: Cvitanovic',
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- Classical Dynamics: Spinning Eggs — A Paradox Resolved - H. K. Moffatt and Y. Shimomura, Nature
"If a hard-boiled egg is spun sufficiently rapidly on a table with its axis of symmetry horizontal, this axis will rise from the horizontal to the vertical. Conversely, if an oblate spheroid is spun sufficiently rapidly with its axis of symmetry vertical,
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- Combustion Chaos - Univ. of Houston, Univ. of Texas at San Antonio
An interdisciplinary research group studying the dynamics of pattern formation in burner stabilized premixed flames. Includes graphics, movies, and Java simulations of different patterns, explanations of models and experiments, and list of related publications;
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- Computational Mathematics Research Group - University of Brighton
Current areas of research include bubble dynamics, acoustics, diffusion in gels, and space plasmas. Read their bibliography of recent publications.
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- Computing at the Edge - Ivars Peterson - Science News Online
To study and predict boundary effects, researchers have struggled to accurately capture erratic, complicated behavior in a computer model. In recent years two schemes for calculating what happens at rapidly evolving interfaces have provided new insights
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- Density Functional Theory in Hydrodynamics
Density functional theory in hydrodynamics of a multicomponent multiphase
mixture. Density functional theory describes the multicomponent multiphase
mixture continuously without density jumps and interfacial surfaces.
Bulletin /Field of Application/
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- Fluid v1.0 - Maciej Matyka
A shareware program for solving incompressible, viscous, free surface fluid flow, using the Mac Method to solve Navier-Stokes equations on the Euler 2D grid. Source code with documentation is available.
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- Inverse Problems in Geophysics - Gennady Ryzhikov, Marina Biryulina
Links to sites that provide information about inverse problems in geophysics, novel transforms and signal enhancement, imaging, seismic data processing, etc.
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- J. M. Burgers Centre for Fluid Dynamics
A Dutch research center specializing in fluid mechanics. Mission; information brochure for new members; list of participating groups and collaborators; groups or individuals who do research related to work in the field.
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- Level Set Methods for Shape Recovery - J. A. Sethian
Overview of a movie on medical imaging. Imagine that you are given an image, say a medical (MRI or CT) scan. Suppose you want to extract the important feature within the image of a digital subtraction angiogram (DSA); in this case, the outline of the
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- Living Graphs - Living Graphs Inc.
Makers of ChaosLab, an interactive math package for visualizing and understanding fractal geometry and chaos theory. This PC software title covers bifurcation diagrams, the chaos game, coin tosses, diffusion limited aggregation, Levy flight, Pascal's
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- Mathematics Preprints & Publications - University of Southampton
Preprints and reprints of research in applied mathematics, operational research, statistics, and pure mathematics, including Martin J. Dunwoody's "A proof of the Poincaré conjecture," inspired by Hyam Rubinstein's algorithm for recognizing the
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- MIT Aero/Astro Scientific Visualization - Massachusetts Institute of Technology
Visualization software developed at MIT: Visual2, Visual3 and pV3 are software packages aimed at aiding in the analysis of a particular suite of problems. They
were designed for Computational Fluid Dynamics but are more general. Each deals with a programmer-defined
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- Navier-Stokes Equations - Mark Cramer
A comprehensive, web-based source of the Navier-Stokes equations and associated boundary and jump conditions which govern the motion of all gases and liquids.
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- OpenFVM CFD solver
OpenFVM is a general CFD solver released under the GPL license. It was
developed to simulate the flow in complex 3D geometries. Therefore, the
mesh can be unstructured and contain control volumes with arbritrary shape.
The code uses the finite volume
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- A Primer on Vorticity for Application in Supercells and Tornadoes - Charles A. Doswell III, Cooperative Institute for Mesoscale Meteorological Studies
"Vorticity is a 3-dimensional vector.... associated with the spatial variation of the wind field." This tutorial for those interested in supercell thunderstorms and tornadoes contains four mathematical diversions exploring models of fluid dynamics and
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- Professor L N Trefethen, Numerical Analysis - Balliol College, Oxford University, UK
Links to books and recent papers by the head of the Numerical Analysis Group at Oxford University. Books include: Spectral Methods in Matlab, Finite Difference and Spectral Methods, Numerical Linear Algebra, and Spectra and Pseudospectra.
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- Rough math: Focusing on rogue waves at sea - Ivars Peterson - Science News Online
Ocean currents and large fields of random eddies can focus a steady ocean swell to create unusually large waves. A current or eddy field acts like an optical lens to focus the wave action, says applied mathematician Bengt Fornberg of the University of
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- Soliton Lab Art Gallery - Kanehisa Takasaki, Takasaki Lab, Kyoto University
The site contains a soliton-lab as well as links to mathematics galleries. The special exhibition section contains links to related sites from around the world while the permanent exhibition section is an explanation of solitons with more
links to other
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- Spinning to a Rolling Stop - Ivars Peterson (MathTrek)
The underlying mathematics of spinning disks. Spin a coin on a tabletop. As it loses energy and tips toward the surface, the coin begins to roll on its rim, wobbling faster and faster. Toward the end, the coin generates a characteristic rattling sound
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- Theoretical and Numerical Approach to "Magic Angle" of Stone Skipping - Shin-ichiro Nagahiro and Yoshinori Hayakawa, Department of Physics, Tohoku University, Japan
As published in the American Physical Society's Physical Review Letters: Nagahiro and Hayakawa "... investigate the condition for the bounce of circular disks which obliquely impacts on the fluid surface. An experiment [C. Clanet, F. Hersen, and L. Bocquet,
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- Turbulence, Chaos and Disordered Systems
A research group at the Eindhoven University of Technology in the Netherlands investigating turbulence, self-organization, chaos, and complexity in fluids. Descriptions of projects and full text of related thesis projects.
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- Vortex Leapfrogging Interactive Pages - Amanda Johns, The University of Surrey, England
Interactive experiments in fluid dynamics, in particular, the motion of vortices: "A vortex is a spinning energy wheel. When you take the plug out of a bathtub, you will see that the water creates a vortex as it runs down the drain. In common usage, by
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- When mathematics is plain sailing - Keith Devlin (Devlin's Angle)
In the ocean waters off New Zealand, an intense mathematical olympiad has just begun: The America's Cup - a yacht race, the premier international event in
ocean sailing. Competition is fierce. The technical challenges are enormous. And the costs are
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