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Use of Dicrete Sensitivity Analysis to Transform Explicit Simulation Codes into Design Optimization Codes
by
Clarence O. E. Burg
Engineering Research Center, Mississippi State University
Sensitivity analysis is often used in high fidelity numerical optimization to estimate design space derivatives efficiently. Typically, explicit codes are combined with the continuous (adjoint) approach of sensitivity analysis, which requires the derivation of the adjoint equations along with appropriate boundary conditions. The discrete approach of sensitivity analysis requires the Jacobian matrix of the discretized governing equations, which is typically already approximated in implicit codes. Using the complex Taylor's series expansion method to generate exact derivatives, the exact Jacobian matrix can be generated for implicit or explicit codes, at steady-state. This method is used to convert an explicit two-dimensional Euler simulator for flow around an airfoil into a design optimization code using discrete sensitivity analysis.
Date received: March 23, 1999
Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-21.