Computational Turbulent Incompressible Flow
Applied Mathematics: Body and Soul 4
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New Theory of Flight
We present a new mathematical theory explaining the fluid mechanics of subsonic flight, which is fundamentally different from the existing boundary layer-circulation theory by Prandtl–Kutta–Zhukovsky formed 10...
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Turbulent flow and fluid–structure interaction
The FEniCS project aims towards the goals of generality, efficiency, and simplicity, concerning mathematical methodology, implementation and application, and the Unicorn project is an imple- mentation aimed at...
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Resolution of d’Alembert’s Paradox
We propose a resolution of d’Alembert’s Paradox comparing observation of substantial drag/lift in fluids with very small viscosity such as air and water, with the mathematical prediction of zero drag/lift of s...
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Perspectives in Numerical Analysis 2008
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Blow up of incompressible Euler solutions
We present analytical and computational evidence of blowup of initially smooth solutions of the incompressible Euler equations into non-smooth turbulent solutions. We detect blowup by observing increasing L ...
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Applications Tool Bag
In this section we collect the basic models of engineering and science expressed as differential equations. For specification of boundary and initial values we refer to the text.
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Mountain Climbing
Every new body of discovery is mathematical in form, because there is no other guidance we can have. (Darwin)
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The Right to Not Know
To my knowledge the President had no prior knowledge of the bugging plan, and such knowledge by Nixon, would be difficult to believe. (Nixon’s campaign Deputy Director Jeb Stuart Magruder, testifying under oat...
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Fourier Analysis Tool Bag
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Do We live in “The Best of Worlds”?
The Best World has the greatest variety of phenomena regulated by the simplest Laws. (Leibniz)
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Jazz/Pop/Folk vs. Classical Music
Music is the pleasure the human soul gets from counting, without knowing it. (Leibniz)
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An Agenda
... there is no study in the world which brings into more harmonious action all the faculties of the mind than [mathematics], ... or, like this, seems to raise them, by successive steps of initiation, to highe...
