Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media

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POD‐based model reduction with empirical interpolation applied to nonlinear elasticity (2016, methodology): “The DEIM method was applied to fluid problems such as miscible viscous fingering in [27] as well as microelectromechanical systems in [28].”
Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair (2013, methodology): “This method was applied by these authors in conjunction with POD to treat the reduction of non-linear miscible viscous fingering in porous media [27], and derived state space error bounds for the solutions of POD/DEIM [28].”
High-performance model reduction techniques in computational multiscale homogenization (2014, background): “…— computational pitfalls, to a wide gamut of problems: nonlinear monotonic elliptic and non-linear parabolic BPVs [33], nonlinear miscible viscous ﬁngering in porous media [17,18], uncertainty quanti-ﬁcation in inverse problems [31], and nonlinear heat conduction problems [5,6], to cite but a few.”
Nonlinear Model Reduction via Discrete Empirical Interpolation (2010, background): “The other is in two-phase miscible flow in porous media with varying Peclet number, both with and without chemistry at the interface of the different fluids [12].”