Model Reduction

Mathematical models are the classical tool to describe and predict fluid and solid mechanics in porous materials. These models are typically strongly coupled differential equations of several primary variables. Hence, solving them might be of high computational complexity.

Model reduction aims to develop new techniques for reducing the models' complexity and, consequently, increasing their computational efficiency. It is based on utilizing natural properties of the porous medium to reduce the number of primary variables or the dimensionality of the models. 

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