Optimal shape design for fluid flow using topological perturbation technique
نویسندگان
چکیده
منابع مشابه
Optimal Shape Design for a Cooling Pin Fin Connection Profil
A shape optimization problem of cooling fins for computer parts and integrated circuits is modeled and solved in this paper. The main purpose is to determine the shape of a two-dimensional pin fin, which leads to the maximum amount of removed heat. To do this, the shape optimization problem is defined as maximizing the norm of the Nusselt number distribution at the boundary of the pin fin's con...
متن کاملOptimal plastic shape design via the boundary perturbation method
1 I n t r o d u c t i o n The boundary perturbation method (BPM) is now widely developed both in solid and fluid mechanics (although not always under this name). Older results are presented in the monograph by Morse and Feshbach (1953), and a recent survey by Guz and Nemysh (1987) gives 310 references (mostly Ukrainian and Russian). The monograph by Guz and Nemysh (1989) presents in detail two ...
متن کاملOptimal Shape Design for the Viscous Incompressible Flow
This paper is concerned with a numerical simulation of shape optimization in a two-dimensional viscous incompressible flow governed by Navier–Stokes equations with mixed boundary conditions containing the pressure. The minimization problem of total dissipated energy was established in the fluid domain. We derive the structures of shape gradient of the cost functional by using the differentiabil...
متن کاملOptimal shape design for Stokes flow via minimax differentiability
Abstract. This paper is concerned with a shape sensitivity analysis of a viscous incompressible fluid driven by Stokes equations with nonhomogeneous boundary condition. The structure of shape gradient with respect to the shape of the variable domain for a given cost function is established by using the differentiability of a minimax formulation involving a Lagrangian functional combining with f...
متن کاملShape Design in Aorto-Coronaric Bypass Anastomoses Using Perturbation Theory
In this paper we present a new approach in the study of Aorto-Coronaric bypass anastomoses configurations based on small perturbation theory. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the zone of the incoming branch of the bypass (the toe) into the coronary (see Figure (1)). The aim is to provide design indications in the perspective...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2009.02.045