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Showing 1 to 8 of 8 for “"sensitivity equation method"”.
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The sensitivity equation method for optimal design
In this work, we introduce the Sensitivity Equation Method (SEM) as a method for approximately solving infinite dimensional optimal design problems. The SEM couples a trust-region/quasi-Newton optimization algorithm with gradient information provided by apprOXimately solving the sensitivity …
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Numerical Methods for Accurate Computation of Design Sensitivities
… concerned with the development of computational methods for approximating sensitivities of solutions to boundary value problems. We focus on the continuous sensitivity equation method and investigate the application of adaptive meshing and smoothing projection techniques to enhance the basic …
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Multidisciplinary optimization in aircraft design using analysis technology models
… is presented which combines the Global Sensitivity Equation method, parametric optimization, and analytic technology models. The result is a powerful yet simple procedure for identifying key design issues. It can be used both to investigate technology integration issues very early in the …
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Sensitivity Calculations For Conservation Laws With Application To Discontinuous Fluid Flows
… of perturbed flows. Problems arise in all sensitivity calculation methods in the presence of discontinuities and other complexities such as shock waves, contact discontinuities and rarefaction waves that commonly occur in super and hypersonic inviscid, compressible fluid flows. Flow …
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Aerodynamic Modeling Using Computational Fluid Dynamics and Sensitivity Equations
… along such generalized steady trajectories. The method required the extension of standard (inertial) CFD formulations to general non-inertial reference frames. Generalized Navier-Stokes and Euler equations have been derived. The formulation is valid for all ranges of Mach numbers including …
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Sensitivities in Option Pricing Models
… the unknown parameters of the pricing equation from the values quoted from the market. We formulate the inverse problem as a minimization problem for an appropriate cost function to minimize the difference between the solution of the model and the market observations. Efficient gradient …
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Parameter estimation in reconstructing temperature fields during hyperthermia.
… formulation. Both an adjoint formulation and a sensitivity equation method are derived and used to determine the elements in the Jacobian matrix associated with the inverse problem of estimating the blood perfusion and temperature fields during hyperthermia cancer treatments. These methods and a …
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Computational Investigations of Boundary Condition Effects on Simulations of Thermoacoustic Instabilities
… presents a formulation of the Continuous Sensitivity Equation Method (CSEM) applied to the Computational Fluid Dynamics (CFD) simulation of thermoacoustic instability problems. The proposed sensitivity analysis approach only requires a single run of the CFD simulation. Moreover, the …