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Some dependences between the two formulations are proved, which justifies the good agreement found by the models based on continuous formulations presented by other authors despite the inherent discrete nature of the phenomenon.
When used with complex distillation units, it can identify interesting design configurations not considered by other continuous formulations, and also relieve some of the numerical difficulties associated with the use of distribution functions for the optimal location of feed and side-streams.
Most of the proposed models [3] [14] employ a control mechanism of cellular growth via artificial gene regulatory networks (GRNs) that abstract biological gene regulatory networks using discrete or continuous formulations, and most implementations are unique.
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The solution is based on the continuous formulation and the Euler Bernoulli beam theory.
Two formulations – a discrete formulation and a continuous formulation – are developed for the energy criterion within the Coupled Criterion.
Generalized SLW modelling using these moments including both discrete gray gases and the continuous formulation is presented.
It requires a fast contact search algorithm and an exact continuous formulation to solve the problem robustly.
We present a variational framework for shape optimization problems that establishes clear and explicit connections among the continuous formulation, its full discretization and the resulting linear algebraic systems.
On the other hand, it is also shown that the continuous formulation may be used down to relatively low sampling rates, provided the filter parameters are adjusted appropriately.
A continuous formulation decouples the primal and adjoint temporal discretizations and allows for the use of standard time-integration schemes for the adjoint.
To correlate the results and gain insight into the mixture ignition process, a continuous mixture droplet ignition model was devised by adding a continuous formulation for a global reaction rate expression to an existing droplet evaporation model.
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