Researchers have studied and favoured a plethora of techniques to approach this issue, ranging from very simple empirically-based mathematical models, to physically-based, deductive and very formal numerical integration of systems of partial-differential equations.
This study describes the coupling of a soakaway model to a physically distributed urban drainage model, and investigates different upscaling methods.
The generalization of the approach to an N phase (N≥3) system requires some extra consistency conditions on the free energy functional in order for the model to give physically relevant results.
For Galileo, this shift was also from a mathematical planetary model to a physically realizable cosmography.
The exercise trainer was perceived as a role model to be physically active by nearly all respondents, in terms of personality (being open and kind) and physical appearance (being slender, fast, agile).
The constitutive model leads to physically meaningful results also for the large compressive strain domain, which is not the case for the classical Saint Venant Kirchhoff material.
The present paper is devoted to study a quasi-steady load model related to physically significant aerodynamic quantities and to develop numerical examples of such a system subjected to aeroelastic loads, in order to analyze its qualitative and bifurcative behavior and evaluate the critical flutter speed.
However, the exact determination of analytical solutions of our system (and even of those simpler versions of our model) corresponding to physically meaningful initial conditions, may be a difficult task, whence the need to design computational methods to approximate the solutions of our mathematical model is pragmatically justified.
The optimum operating conditions were calculated by the models to produce physically and chemically activated carbons with large surface area and product yield.
The reason for using biomechanical modelling in contrast to, for example, a Klatt synthesiser, lies in the ability of the biomechanical models to generate physically realistic trajectories between consecutive phonemes.
