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Model equations

The model equations are presented here. Each model setup represents specific a combination of equations. We refer to :doc:`/reference/settings` and :doc:`/reference/variables` representing the described parameters and variables as objects (e.g. float, array).

While using jax, jax-mpi or jax-gpu (-b) to compute the solute transport, the default float type of float32 needs to be changed to float64 (--float-type). Currently, using float32 leads to numerical instabilities.

` python svat_transport.py -b jax --float-type float64 `

Time-stepping

Three different time-stepping schemes are available to solve the equations. The time-stepping depends on the model setup:

  • adaptive time-stepping is used for long-term hydrologic modelling (i.e. modelling the water balance over multiple years)
  • fixed time-stepping is used for short-term hydrologic modelling (i.e. modelling a single rainfall event)
  • fixed time-stepping with internal substepping is used for solute transport models