... Abstract The use of dynamic mesh optimization (DMO) for multiphase flow in porous have been proposed recently showing a very good potential to reduce the computational cost by placing the resolution where and when necessary. Nonetheless, further work needs to be done to prove its usability...

..., efficient and easily computable a posteriori error estimators. Section 3 consists in the parallel implementation of the mesh adaptation procedure. In Section 4 we depict numerical results which exhibit the advantage of the combined parallel mesh adaptation algorithm and error estimator to handle...

... the mesh to honor the geometrical shapes of subsurface features. The effects of these features on the solution are captured by enriching the finite element approximation based on the Partition of Unity theory. This new simulation capability eliminates the laborious meshing work traditionally required...