Underworld Magma Isoviscous McKenzie Benchmark - Equations
| The advection equation for the porosity field: |
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| For incompressible materials and Darcy flow which includes dynamic pressure as described in the momentum equation): |
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| Continuity equation, which allows for mass flux in proportion to the compressibility: |
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| Porosity-driven Stokes equation: |
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This problem is solved with corner flow Dirichlet boundary conditions for velocity, a depth-dependent initial porosity field, and zero porosity and pressure along the bottom boundary.
-- Wendy Mason - 20 October 2010
-- Dave Lee - 20 October 2010