Reduction of modes for the solution of inverse natural convection problems

DOI10.1016/S0045-7825(99)00453-3zbMath0999.76123OpenAlexW2044013161MaRDI QIDQ1595368

R. Smith

Publication date: 2 December 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00453-3

zbMATH Keywords

ordinary differential equationsconjugate gradient methodbasis functionsKarhunen-Loève decompositionlinear subspacewall heat fluxtwo-dimensional cavityempirical eigenfunctionsinverse natural convection problemsKarhunen-Loève-Galerkin method

Mathematics Subject Classification ID

Related Items (4)

A FE-based algorithm for the inverse natural convection problem ⋮ Direct and inverse mixed convections in an enclosure with ventilation ports ⋮ Determining boundary heat flux profiles in an enclosure containing solid conducting block ⋮ A Karhunen-Loève least-squares technique for optimization of geometry of a blunt body in supersonic flow.

Cites Work

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• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
• Pseudospectral methods for solution of the incompressible Navier-Stokes equations
• Boundary control of the Navier-Stokes equation by empirical reduction of modes
• An efficient computational method of boundary optimal control problems for the Burgers equation
• Function minimization by conjugate gradients

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