Slot nozzle design with specified pressure in a given subregion by using embedding method

Mehne, Hamed Hashemi; Farahi, Mohammad Hadi; Esfahani, Javad Abolfazli

doi:10.1016/j.amc.2004.10.018

Cited by 10 publications

(3 citation statements)

References 14 publications

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“…Now we consider the derivative of boundary ϕ(r) as a control function and then convert the shape optimization problem to an optimal control problem where the task is to minimize (13) subject to the variational constraints (14)- (15). First we have the following simple lemma.…”

Section: Change the Problem To An Optimal Control Problemmentioning

confidence: 99%

Filtration problem in inhomogeneous dam by using embedding method

Nazemi

Farahi

Zamirian

2008

J. Appl. Math. Comput.

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This paper is devoted to a new numerical technique for the approximation of the flow problem of incompressible liquid through an inhomogeneous porous medium (say dam). First the problem is expressed as an optimal control problem governed by variational forms on a fixed domain. Then by using an embedding method, the class of admissible shapes is replaced by a class of positive Radon measures. The optimization problem in measure space is then approximated by a linear programming problem. The optimal measure representing optimal shape is approximated by the solution of this linear programming problem. Numerical example is also given.

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Section: Change the Problem To An Optimal Control Problemmentioning

confidence: 99%

Filtration problem in inhomogeneous dam by using embedding method

Nazemi

Farahi

Zamirian

2008

J. Appl. Math. Comput.

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“…Consequently, the flow matching problem is finding u, q c , α and p such that min (u,p,qc,α) J (u, q c , α) (8) where (u, p, q c , α) is a solution of (1)-(4) and (6). A weak formulation of Navier-Stokes equations (1)-(4) stated in [3] and [4] is as follows:…”

Section: The Model Of Osd Problemmentioning

confidence: 99%

Shape Optimization of a Nozzle with Specified Flow Field Including Viscosity Effect

2008

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In this article we intend to find the optimal shape of a nozzle respecting to some given target flow fields including viscosity effect. Via an approach based on measure theory which is not an iterative method and need not to any initial guess, each shape optimization problems are solved and consequently each geometry of the nozzle corresponding to prescribed flow fields is determined. Analyzing several case studies make us to confident on the use of the presented approach, because the obtained results give entirely the same as what we expect physically.

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“…Methods based on embedding procedure have been used in many optimal control problems. In this connection we may refer, for instance to the numerical estimation of the distributed control of a wave equation [15], optimal control of the heat equation in an inhomogeneous body [9], and numerical solution of optimal shape design problems [16].…”

Section: Introductionmentioning

confidence: 99%

MILP modelling for the time optimal control problem in the case of multiple targets

Mehne

Farahi

Kamyad

2005

Optim Control Appl Methods

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SUMMARYOptimal guidance for a dynamical system from a given point to a set of targets is discussed. Detecting for the best target is done in such a way that the capture time is minimized and desirability of targets is maximized. By extending measure theoretical approach for the classical optimal control problem to this case, the nearly optimal control is constructed from the solution of a mixed integer linear programming problem. To find the lower bound of the optimal time a search algorithm is proposed. Numerical examples are also given.

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Slot nozzle design with specified pressure in a given subregion by using embedding method

Cited by 10 publications

References 14 publications

Filtration problem in inhomogeneous dam by using embedding method

Filtration problem in inhomogeneous dam by using embedding method

Shape Optimization of a Nozzle with Specified Flow Field Including Viscosity Effect

MILP modelling for the time optimal control problem in the case of multiple targets

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