A projection method for porous media flow

@article{Derr2022APM,
  title={A projection method for porous media flow},
  author={Nicholas J. Derr and Chris H. Rycroft},
  journal={ArXiv},
  year={2022},
  volume={abs/2206.14379}
}
Flow through porous, elastically deforming media is present in a variety of natural contexts rang-ing from large-scale geophysics to cellular biology. In the case of incompressible constituents, the porefluid pressure acts as a Lagrange multiplier to satisfy the resulting constraint on fluid divergence. The resulting system of equations is a possibly non-linear saddle-point problem and di ffi cult to solve numerically, requiring nonlinear implicit solvers or flux-splitting methods. Here, we present… 

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