Model Solution Library: Difference between revisions
From CSDMS
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:This is a collection of analytic or closed-form solutions to a variety of different mathematical models in the realm of surface process dynamics. | :This is a collection of analytic or closed-form solutions to a variety of different mathematical models in the realm of surface process dynamics. | ||
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== {{ Bar Heading| text=Navier-Stokes Equation}} == | |||
: Lamb vortex | : Lamb vortex | ||
: Burgers' vortex | : Burgers' vortex | ||
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* '''Glacier Flow''' </big> </big> | * '''Glacier Flow''' </big> </big> | ||
: | : Halfar (1983) radially-symmetric (Glen Law) similarity solution | ||
: Bueler et al. (****) similarity solution | |||
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* '''Infiltration Theory Solutions''' </big> </big> | * '''Infiltration Theory Solutions''' </big> </big> | ||
: Broadsbent-Hammersley Solution | : Broadsbent-Hammersley Solution | ||
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* '''Heat Equation Solutions''' </big> </big> | |||
: Gaussian, radially-symmetric similarity solution | |||
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* '''Burgers' Equation Solutions''' </big> </big> | |||
: via Cole-Hopf transformation | |||
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Revision as of 15:52, 21 May 2014
CSDMS Model Solution Library
- This is a collection of analytic or closed-form solutions to a variety of different mathematical models in the realm of surface process dynamics.
- Lamb vortex
- Burgers' vortex
- Rankine vortex (not a solution, though)
- Shallow Water Equations
- Inclined plane solution
- Dam Break Characteristic Solution
- Similarity solutions
- Glacier Flow
- Halfar (1983) radially-symmetric (Glen Law) similarity solution
- Bueler et al. (****) similarity solution
- Potential Flow Solutions
- Flow around a semi-infinite plate (power-law conformal map: n=1/2)
- Flow around a right-angle corner (power-law conformal map: n=2/3)
- Uniform flow (power-law conformal map: n = 1)
- Power-law conformal map: n=3/2
- Flow through a right-angle corner or at a stagnation point (power-law conformal map: n=2)
- Flow into a 60-degree corner (power-law conformal map: n=3)
- Doublet solution (source-sink pair; power-law conformal map: n=-1)
- Quadrupole solution (power-law conformal map: n=-2)
- Joukowski airfoil solution
- Darcy flow solutions
- Jet, Wake and Mixing Layer Solutions
- Channel and Pipe Solutions
- Poisseuille Flow
- Taylor-Couette Flow Solution
- Driven Cavity Solution
- Numeric solution
- Analytic solution
- Boundary Layer Equation Solutions
- Blasius
- Falkners-Skan solution
- Stokes First Problem
- Stokes Second Problem
- Stokes Settling Solutions
- Ekman Spiral Solution
- Minimal Surface Equation Solutions
- Inclined plane solution
- Helicoid solution (Meusnier, 1776)
- Catenoid solution (Meusnier, 1776)
- Scherk's first surface solution (Scherk, 1834)
- Scherk's second surface solution (Scherk, 1834)
- Costa surface solution (Costa, 1984)
- Landform Evolution Equation Solutions
- Steady-state, slope vs. area solution
- Terry Smith longitudinal profile solutions
- Peckham steady-state "ideal landform equation" solutions
- Infiltration Theory Solutions
- Broadsbent-Hammersley Solution
- Heat Equation Solutions
- Gaussian, radially-symmetric similarity solution
- Burgers' Equation Solutions
- via Cole-Hopf transformation
