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Keith Fife
เข้าร่วมเมื่อ 2 พ.ย. 2010
Unscaled Toroidal Lattice Demonstration
A mixing demonstration scaled at each step using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine^2(x*pi/100+y)).
Made using Mathematica for use in research in the Washington Experimental Math Lab on Randomly Mixing Fluids.
Made using Mathematica for use in research in the Washington Experimental Math Lab on Randomly Mixing Fluids.
มุมมอง: 130
วีดีโอ
The standard deviation distribution by toroidal lattice mixing.
มุมมอง 407 ปีที่แล้ว
The evolution of the distribution of standard deviations using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine^2(x*pi/100 y)). Made using Mathemat...
The relative entropy distribution by toroidal lattice mixing.
มุมมอง 517 ปีที่แล้ว
The evolution of the distribution of relative entropies using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine(x*pi/100 y)). Made using Mathematica...
Scaled Toroidal Lattice Demonstration
มุมมอง 327 ปีที่แล้ว
A mixing demonstration universally scaled using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine^2(x*pi/100 y)). Made using Mathematica for use in ...
Unscaled Toroidal Lattice Demonstration With Boundary Shear
มุมมอง 207 ปีที่แล้ว
A mixing demonstration universally scaled using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine(x*pi/100 y)). This video has the boundary shear gl...
Scaled Toroidal Lattice Demonstration With Boundary Shear
มุมมอง 377 ปีที่แล้ว
A mixing demonstration scaled at each step using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine(x*pi/100 y)). This video has the boundary shear g...
The relative entropy distribution by toroidal lattice mixing with boundary shear.
มุมมอง 97 ปีที่แล้ว
The evolution of the distribution of relative entropies using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine(x*pi/100 y)). This video has the bou...
The standard deviation distribution by toroidal lattice mixing with boundary shear.
มุมมอง 127 ปีที่แล้ว
The evolution of the distribution of standard deviations using the mixing model given by "Lattice Models of Advection-Diffusion" by Raymond Pierrehumbert, University of Chicago, November 1999. With initial conditions of a 100 by 100 lattice, with 95% of the PDF in the center four lattice points and 5% elsewhere. With stirring/advection functions round(10*sine(x*pi/100 y)). This video has a boun...
A demonstration of diffusion
มุมมอง 307 ปีที่แล้ว
A demonstration of diffusion made in Mathematica for use in a presentation for the Washington Experimental Math Lab for research in Randomly Mixing Fluids. Made using the fundamental kernel for the heat equation.
A demonstration of advection
มุมมอง 497 ปีที่แล้ว
A demonstration of advection made in Mathematica for use in a presentation for the Washington Experimental Math Lab for research in Randomly Mixing Fluids.
Double Pendulum Phase Space
มุมมอง 1.3K8 ปีที่แล้ว
The three dimensional projection of the four dimensional phase space of a double pendulum system iterated along the angles and angular velocities. Animations made in Mathematica.
Double Pendulum Energy Surface
มุมมอง 2268 ปีที่แล้ว
The two dimensional projections of the five dimensional energy surface of a double pendulum system iterated over values of the angles and angular velocity. Animations made in Mathematica.
Two Source Interference
มุมมอง 1239 ปีที่แล้ว
The following is a demonstration of two two dimensional wave sources interfering as they move apart. Each frame the two sources move apart π/96 units. Each frame of this animation was rendered using Mathematica 10.