Accession Number : ADA294296

Title :   Contribution to the Optimal Shape Design of Two-Dimensional Internal Flows With Embedded Shocks.

Descriptive Note : Contract rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : Iollo, Angelo ; Salas, Manuel D.

PDF Url : ADA294296

Report Date : MAR 1995

Pagination or Media Count : 23

Abstract : We explore the practicability of optimal shape design for flows modeled by the Euler equations. We define a functional whose minimum represents the optimality condition. The gradient of the functional with respect to the geometry is calculated with the Lagrange multipliers, which are determined by solving a costate equation. The optimization problem is then examined by comparing the performance of several gradient-based optimization algorithms. In this formulation, the flow field can be computed to an arbitrary order of accuracy. Finally, some results for internal flows with embedded shocks are presented, including a case for which the solution to the inverse problem does not belong to the design space. (AN)

Descriptors :   *OPTIMIZATION, *SHOCK WAVES, *FLOW FIELDS, *TWO DIMENSIONAL FLOW, PRESSURE GRADIENTS, MATHEMATICAL MODELS, ALGORITHMS, COMPUTER AIDED DESIGN, TIME DEPENDENCE, SHAPE, ACCURACY, COMPRESSIBLE FLOW, EMBEDDING, EULER EQUATIONS, SUBSONIC FLOW, SUPERSONIC FLOW, PRESSURE DISTRIBUTION, LAGRANGIAN FUNCTIONS, STEADY FLOW.

Subject Categories : Fluid Mechanics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE