2012
DOI: 10.1016/j.apnum.2012.02.008
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Heat transfer modeling in saturated porous media and identification of the thermophysical properties of the soil by inverse problem

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Cited by 16 publications
(12 citation statements)
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“…It can also provide information about the use of fire by ancient civilizations whether for cooking or heating. The inverse problem, presented in this paper, consists of the estimation of thermophysical properties of the soil knowing the heating history curves at selected points of the altered soil [2]. In general, the mathematical formulation of inverse problems leads to models that are typically ill-posed [3].…”
Section: Introductionmentioning
confidence: 99%
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“…It can also provide information about the use of fire by ancient civilizations whether for cooking or heating. The inverse problem, presented in this paper, consists of the estimation of thermophysical properties of the soil knowing the heating history curves at selected points of the altered soil [2]. In general, the mathematical formulation of inverse problems leads to models that are typically ill-posed [3].…”
Section: Introductionmentioning
confidence: 99%
“…At the stage of numerical computations, the Damped Gauss Newton method is used to minimize the least square criterion; that requires the solution of a system of four highly nonlinear ordinary differential equations. We propose a global approach similar to that presented by [2] using also the apparent heat capacity method to deal with the phase change problem. It is important to note that in our new configuration, the solution is reached after taking into consideration the temperature history at selected points of the domain and HT-14-1585…”
Section: Introductionmentioning
confidence: 99%
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“…The very popular approach to the description of alloys solidification in the case of macroscale modeling is the application of the energy equation known in literature as the one domain method [1][2][3][4][5]. In this equation the parameter called 'a substitute thermal capacity' (STC) appears.…”
Section: Introductionmentioning
confidence: 99%