Model Solution Library

  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.

• Vortex Solutions to Navier Stokes Equation

Lamb vortex

Burgers' vortex

Rankine vortex (not a solution, though)

• Similarity Solutions to Shallow Water Equations

Inclined plane solution

Dam Break Characteristic Solution

• Glacier Flow Similarity Solution

Nye (200X) radially-symmetric (Glen Law) solution

• Potential Flow Solutions

Stagnation Point

Corner

Source, Sink and Dipole

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

Helicoid

Catenoid ??

???

• Steady-State Ideal Landform Equation Solution

• Infiltration Theory Solutions

Broadsbent-Hammersley Solution