An inverse method for non linear ablative thermics with experimentation of automatic differentiation

Alestra, Stephane; Collinet, Jean; Dubois, François

doi:10.1088/1742-6596/135/1/012003

Cited by 4 publications

(4 citation statements)

References 6 publications

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“…The temperature data can also be obtained by embedding TCs within the ablative material at specified distances from the surface [19]. Identification of the heat flux of ARD [20,21] and MSL [22][23][24] was carried out by solving the inverse ablation problem based on measurements of the in-depth temperature of a sensing slug and the TPS ablation model. There was almost no temperature distribution mismatch, because the slugs were made of TPS materials.…”

Section: Long-duration Heat Load Measurement Approach By Novel Appara...mentioning

confidence: 99%

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Long-duration heat load measurement approach by novel apparatus design and highly efficient algorithm

Zhu¹,

Yi²,

Meng³

et al. 2017

Meas. Sci. Technol.

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Improving the surface heat load measurement technique for vehicles in aerodynamic heating environments is imperative, regarding aspects of both the apparatus design and identification efficiency. A simple novel apparatus is designed for heat load identification, taking into account the lessons learned from several aerodynamic heating measurement devices. An inverse finite difference scheme (invFDM) for the apparatus is studied to identify its surface heat flux from the interior temperature measurements with high efficiency. A weighted piecewise regression filter is also proposed for temperature measurement prefiltering. Preliminary verification of the invFDM scheme and the filter is accomplished via numerical simulation experiments. Three specific pieces of apparatus have been concretely designed and fabricated using different sensing materials. The aerodynamic heating process is simulated by an inductively coupled plasma wind tunnel facility. The identification of surface temperature and heat flux from the temperature measurements is performed by invFDM. The results validate the high efficiency, reliability and feasibility of heat load measurements with different heat flux levels utilizing the designed apparatus and proposed method.

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Section: Long-duration Heat Load Measurement Approach By Novel Appara...mentioning

confidence: 99%

“…Since the linear operators were proposed for surface/ internal temperature identification, the IHCP problems can be solved with extremely high efficiency. Then by substituting equation (21) into equation (20), we obtain…”

Section: The Scheme For Surface Heat Flux Identificationmentioning

confidence: 99%

Long-duration heat load measurement approach by novel apparatus design and highly efficient algorithm

Zhu¹,

Yi²,

Meng³

et al. 2017

Meas. Sci. Technol.

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show abstract

“…The global methods involve minimization of the global objective function (index þ regularization term) with respect to the unknown parameters or functions. The minimization is performed with the computation of the adjoint system and sensitivity functions [6][7][8]. However, the introduction of the adjoint system increases the complexity of the resolution because the adjoint system has the same dimension as the direct problem and solving the adjoint system requires integration from the final time to the initial time.…”

Section: Introductionmentioning

confidence: 99%

“…However, the introduction of the adjoint system increases the complexity of the resolution because the adjoint system has the same dimension as the direct problem and solving the adjoint system requires integration from the final time to the initial time. To simplify the computation of the adjoint and gradient, Alestra et al [8] consider analytical manual differentiation and automatic differentiation tools. Furthermore when the thermal process is combined with a fluid dynamic process, it is necessary to introduce the momentum equations which again increases the complexity of the mathematical formulation and the resolution method.…”

Section: Introductionmentioning

confidence: 99%

Comparison of global and sequential methods for an inverse heat transfer problem

Marcos

Boulet

Ousegui

et al. 2011

Inverse Problems in Science and Engineering

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This article presents a comparison between global and sequential methods to solve inverse problem related to the baking process. Both methods aim to reconstruct the wall temperature profile in the baking oven from the temperature of flux sensor (h-Monitor). The global method solves the adjoint and sensitivity equations to compute the gradient conjugate descent direction. This method contains regularization term that modifies the computation of the gradient. The sequential method computes at each time step a quasi-Newton descent direction taking into account a regularization term. This method may consider one-step or some time steps to improve the descent direction. The comparison shows that both methods perform well. However, the global method is better for noisy data and the sequential method provides satisfying results which makes it an interesting approach because of its simplicity.

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A method to calculate wall heat fluxes of electrical equipments based on overdetermined linear equation

Gao

2017

Applied Thermal Engineering

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An inverse method for non linear ablative thermics with experimentation of automatic differentiation

Cited by 4 publications

References 6 publications

Long-duration heat load measurement approach by novel apparatus design and highly efficient algorithm

Long-duration heat load measurement approach by novel apparatus design and highly efficient algorithm

Comparison of global and sequential methods for an inverse heat transfer problem

A method to calculate wall heat fluxes of electrical equipments based on overdetermined linear equation

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