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SageMath scripts used in the paper "MPDATA: Third-order accuracy for variable flows" (J. Comput. Phys. 359 2018).

Requirements

  • SageMath (known to work in the version 8.0)
  • Tests also require pytest installed in the SageMath own version of Python.
    You can install it using $ sage --python -m easy_install pytest.

Testing

$ make followed by $ make test runs the tests.

Usage

The file mea.sage contains a routine to perform the modified equation analysis for a given flux function. The flux function of MPDATA is defined in schemes.sage. See test_upwind.sage and test_mpdata.sage for an example of combining the two.