3. Digital models
A mathematical model is a relationship, often empirically based, between different hydraulic quantities. It is associated with a domain of validity.
A numerical model implements one or more mathematical models describing the problem to be solved, and a solution scheme with its various parameters.
A model is a schematization of Nature that simplifies the resolution of a problem. In this sense, mathematical models preceded physical models.
For example, Nicollet and Labadie
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Digital models