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First, the sensitivity analysis of the bending moment in a flexural member is investigated with respect to a general nodal coordinate by using the heuristic adjoint method.
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The optimization problem is analyzed using the adjoint method to obtain the adjoint sensitivity.
Sensitivity derivatives required for the optimization are computed using the discrete adjoint method.
In the model, the induced current can be calculated both directly and in certain cases using the powerful adjoint method.
The design variables are the control points, while the gradients are calculated using the continuous adjoint formulation.
This study introduces a new vortex finder shape optimized for minimum pressure drop using the discrete adjoint method.
Implementation of the discrete adjoint method is validated by comparing sensitivity derivatives obtained using the adjoint technique with results obtained using direct-differentiation and finite-difference methods.
We develop a new data assimilation algorithm by employing a heuristic optimization approach named very fast simulated re-annealing (VFSA), which is capable of minimizing the cost function without using the adjoint model.
The corresponding sensitivity number is derived using the adjoint method.
Sensitivities are evaluated by using the adjoint method.
The dependence of the objective function on the design variables is incorporated using the adjoint technique.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com