opm-simulators/doc/handbook/ModelDescriptions/1pboxmodel.tex

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Single phase isothermal flow model is implemented for compressible flow. \begin{align*} \phi \frac{\partial \varrho}{\partial t} + \vec{\nabla} \cdot (- \varrho \frac{\bar{\bar{K}}}{\mu} ( \nabla p -\varrho \vec{g})) = q \end{align*} which is discretized by this model using vertex centered finite volume (box) scheme as spatial and the implicit Euler method as time discretization. However, the model can also be used for incompressible single pahse flow modeling, when in problem file a fluid with constant density is chosen.