AUTHORS: García-Ros G., Alhama I., Cánovas, M.
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ABSTRACT: The search of dimensionless groups in engineering problems ruled by partial differential equations presents many problems whereby it is an untreated topic in the scientific literature. The main difficulties arise in the suitable choice of the reference quantities needed to define the dimensionless variables which must also be normalized, i.e., extended to the range of values (0,1). After setting the steps for a correct nondimensionalization protocol in this kind of problems, its application is illustrated by studying the soil consolidation problem, a process in which the constitutive dependences between the physical parameters and the dependent variables are strongly non-linear. Results are verified by numerical simulations.
KEYWORDS: Nondimensionalization, dimensionless groups, soil consolidation, non-linear
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