Theoretical Foundations of Growflow.
1997
Everhart, Doug
A general purpose analysis code has been developed to simulate variably saturated groundwater flow in a porous media. The code is called GROWFLOW and is based on the SPH analysis method. An improved SPH method called 'Gradient SPH' was developed for this effort. Simulation around boundaries and discontinuities is dramatically improved with this new method. Gradient SPH is a Lagrangian method. The governing partial differential equations were cast in a Lagrangian frame of reference for this analysis method. The governing differential equations were then cast into the Gradient SPH formalism. An explicit time integration method is used in the GROWFLOW code, and is therefore conditionally stable. A formulation for calculating the stability limit (largest allowable time step) for the explicit time integration method is presented. GROWFLOW uses a highly flexible method for controlling flow at external boundaries and around internal boundaries. Flow control panels are employed, which are possible due to the Lagrangian nature of the formulation. GROWFLOW has two types of source region models available: constant head and constant velocity. A special treatment for these regions is presented. A method for representing the constitutive relationships with tabular data is presented.
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