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Numerical Analysis Using R
Solutions to ODEs and PDEs
Graham W. Griffiths
(Cambridge University Press, ISBN:
978-1-107-11561-3) |
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| Some PDE solution
animation examples - click on image to run |
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Advection 2D - A cone representing a passive
scalar is advected in a steady velocity field, which corresponds
to solid body rotation. |
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Advection 2D - A square block representing a
passive scalar is advected in a steady velocity field, corresponding to solid body rotation. |
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Heat
diffusion 2D - Part of a square metal sheet, in the shape of the
letter R, is initially raised from 0 to 100oC, and
then allowed to cool. |
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Poison
2D - Rotating solution of a problem defined on the circular
domain (r,θ ) = [0, 1] × [0, 2π] with Dirichlet boundary
conditions |
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Wave 2D
- Cartesian coordinates. A Gaussian shaped disturbance is
applied to a surface, initially at rest. This forms a
2-dimensional wave. |
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Wave 2D
- Polar coordinates. A Gaussian shaped disturbance is applied to
a surface, initially at rest. This forms a 2-dimensional wave. |
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| Frontogenesis - Simulation showing
the formation of a vortex at the meeting of cold and warm
fronts. |
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