A functional optimization formulation and implementation of an inverse natural convection problem

TL;DR: In this paper, a study of the inverse free convection problem (IFCP) by adjoint equations and conjugate gradient (CG) was made to determine an unknown space and time dependent boundary heat flux on the side of an enclosure, from temperature measurements by sensors within the flow.

TL;DR: In this article, the authors describe the direct and inverse mixed convection problems in a slot-ventilated enclosure subjected to an unknown heat flux on one side and apply an iterative conjugate gradient method such that the gradient of the cost function is introduced when the appropriate sensitivity and adjoint problems are defined.

TL;DR: In this article, an inverse geometry problem is investigated to identify the boundary shape of a domain from temperature measurements on the other boundary, where the temperature field is dominated by natural convection.

TL;DR: In this paper, a formulation and an FEM implementation for the solution of an ill-posed inverse/design magneto-convection problem is proposed, where an incompressible, viscous, electrically conducting liquid material occupying a given domain Ω is considered.

TL;DR: The aim of this book is to provide a Discussion of Constrained Optimization and its Applications to Linear Programming and Other Optimization Problems.

TL;DR: This book shows engineers how to use optimization theory to solve complex problems with a minimum of mathematics and unifies the large field of optimization with a few geometric principles.

TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.