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Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number by M. Prud'homme; T. Hung Nguyen is a Engineering article available to read on EtoBox.
What is Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number about?
A study is made of the inverse free convection problem (IFCP) by adjoint equations and conjugate gradient (CG), to determine an unknown space and time dependent boundary heat ̄ux on the side of an enclosure, from temperature measurements by sensors within the ̄ow. The direct, sensitivity and adjoint set of equations for a Boussinesq ̄uid are solved by control volumes. Solutions are presented for dierent types of boundary conditions and a wide range of Rayleigh numbers, for a square enclosure. It is found that by placing sensors close enough to the active boundary, solutions may be achieved for Rayleigh numbers higher than in previous studies. Noisy data solutions are regularized by stopping the iterations according to the discrepancy principle of Alifanov, before the high frequency components of the random noises are reproduced. The accuracy of the solutions is shown to depend strongly on the Rayleigh number, the sensor's position and the type of boundary conditions imposed.
Who reads Solution of inverse free convection problems by conjugate gradient method: effects of Rayleigh number?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- M. Prud'homme; T. Hung Nguyen
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0017-9310)
- Published
- 2001
- Language
- EN
- Field
- Engineering (Physical Sciences)