Topology optimization of fluids in Stokes flow Export

@article{citeulike:2919587, 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}, author = {Borrvall, Thomas and Petersson, Joakim}, citeulike-article-id = {2919587}, journal = {International journal for numerical methods in fluids}, keywords = {2003, cfd, material-distribution, optimisation, porous-materials, stokes-flow, topology-optimisation, variational-problem}, number = {1}, pages = {77--107}, posted-at = {2008-06-23 20:06:47}, priority = {5}, publisher = {Wiley}, title = {Topology optimization of fluids in Stokes flow}, volume = {41}, year = {2003} }

TY - JOUR ID - citeulike:2919587 L3 - citeulike-article-id:2919587 N2 - 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 IS - 1 JF - International journal for numerical methods in fluids EP - 107 TI - Topology optimization of fluids in Stokes flow PB - Wiley VL - 41 SP - 77 KW - 2003 KW - cfd KW - material-distribution KW - optimisation KW - porous-materials KW - stokes-flow KW - topology-optimisation KW - variational-problem AU - Borrvall, Thomas AU - Petersson, Joakim PY - 2003/// ER -