OPTIMIZATION OF BODY PROFILES BY NONLINEAR PROGRAMMING BASED ON NUMERICAL NAVIER-STOKES SOLUTIONS--MINIMIZATION OF VISCOUS DRAG OF A TWO-DIMENSIONAL BODY

A new method is developed for obtaining an optimum body profile with minimum drag in two-dimensional viscous incompressible flows. The method consists of a combination of a numerical Navier-Stokes solver, an application of nonlinear mathematical programming technique, and a grid generation/deformation method. The pressure and friction drag components of a steadily advancing body of arbitrary configuration are evaluated from the finite-difference solution of the Navier-Stokes equations. The third-order accurate upwind differencing is used for the nonlinear terms and the time is advanced by the implicit Euler method to obtain a steady solution. Body profile is represented by a series of polynomials, including determinate variables as coefficients. The feasible direction algorithm is applied for the nonlinear constrained optimization problem. Numerical tests are conducted to demonstrate the validity of this method.

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  • Supplemental Notes:
    • Journal article
  • Authors:
    • Tanabe, N
    • Himeno, Y
    • Baba, N
  • Publication Date: 1990-9

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  • Accession Number: 00661839
  • Record Type: Publication
  • Source Agency: Maritime Technical Information Facility
  • Files: TRIS
  • Created Date: Jul 21 1994 12:00AM