TY - GEN
T1 - Shape optimization for the Navier-Stokes equations based on optimal control theory
AU - Okumura, H.
AU - Kawahara, M.
PY - 2000
Y1 - 2000
N2 - This paper presents a new approach to a shape optimization problem of a body located in the unsteady incompressible viscous flow field based on an optimal control theory. The optimal state is defined by the reduction of drag and lift forces subjected to the body. The state equation used is the transient incompressible Navier-Stokes equations. The shape optimization problem can be formulated to find out geometrical coordinates of the body to minimize the performance function that is defined to evaluate forces subjected to the body. The mixed finite element method by the MINI element is used for the spatial discretization, while the fractional step method with implicit temporal integration is used for the temporal discretization. For the numerical study, the optimal shape of the body which has circular shape as the initial state can be finally obtained as the streamlined shape.
AB - This paper presents a new approach to a shape optimization problem of a body located in the unsteady incompressible viscous flow field based on an optimal control theory. The optimal state is defined by the reduction of drag and lift forces subjected to the body. The state equation used is the transient incompressible Navier-Stokes equations. The shape optimization problem can be formulated to find out geometrical coordinates of the body to minimize the performance function that is defined to evaluate forces subjected to the body. The mixed finite element method by the MINI element is used for the spatial discretization, while the fractional step method with implicit temporal integration is used for the temporal discretization. For the numerical study, the optimal shape of the body which has circular shape as the initial state can be finally obtained as the streamlined shape.
KW - Finite element method
KW - Fluid florce control
KW - Fractional step method
KW - Incompressible Navier-Stokes equation
KW - MINI element
KW - Material derivative method
KW - Shape optimization
UR - http://www.scopus.com/inward/record.url?scp=84893428218&partnerID=8YFLogxK
M3 - 会議への寄与
AN - SCOPUS:84893428218
SN - 8489925704
SN - 9788489925700
T3 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
BT - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
T2 - European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000
Y2 - 11 September 2000 through 14 September 2000
ER -