Title of article :
Topology optimization of fluids in Stokes flow
Author/Authors :
Borrvall، Thomas نويسنده , , Petersson، Joakim نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
-76
From page :
77
To page :
0
Abstract :
We consider topology optimization of fluids in Stokes flow. The design objective is to minimize a power function, which for the absence of body fluid forces is the dissipated power in the fluid, subject to a fluid volume constraint. A generalized Stokes problem is derived that is used as a base for introducing the design parameterization. Mathematical proofs of existence of optimal solutions and convergence of discretized solutions are given and it is concluded that no regularization of the optimization problem is needed. The discretized state problem is a mixed finite element problem that is solved by a preconditioned conjugate gradient method and the design optimization problem is solved using sequential separable and convex programming. Several numerical examples are presented that illustrate this new methodology and the results are compared to results obtained in the context of shape optimization of fluids.
Keywords :
optimal shape design , adjoint methods , steady free-surface flows , numerical solution methods
Journal title :
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Serial Year :
2003
Journal title :
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Record number :
92469
Link To Document :
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