Adaptive diffusive time-step in conjugate heat transfer interface conditions for thermal-barrier-coated applications

Salem, Rami; Errera, Marc-Paul; Marty, Julien

doi:10.1016/j.ijthermalsci.2019.106048

Cited by 9 publications

(2 citation statements)

References 28 publications

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“…Second, in order to use the single Dirichlet interface condition in all interactions, it is necessary to leverage the concept of optimal coefficients by expanding their functionalities to high thermal interaction. This has been done very recently [33], [35], and the corresponding results could be exploited in future works.…”

Section: Resultsmentioning

confidence: 99%

Adaptive interface treatment for aerothermal coupling using a Discontinuous Galerkin method

Nguyen

Errera

Labbé

et al. 2020

International Journal of Thermal Sciences

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This paper presents the application of a discontinuous Galerkin method to conjugate heat transfer problems using a Dirichlet-Robin interface treatment. The use of optimal coefficients derived from a Godunov-Ryabenkii stability analysis is adapted to the discontinuous Galerkin discretization. The stability and convergence of different coupling coefficients are explored for fluid-structure interactions of varying strength. The effects of increasing the order of the polynomial approximation are examined. It was found that for weak fluid-structure interactions, the optimal coefficients provide stable and quickly converged results. However, for moderate and strong interactions, relaxation coefficients that are larger than optimal must be used to stabilize the process. Because the coupling coefficient was adapted to the polynomial order of approximation, increasing the order of the polynomial was not found to destabilize conjugate heat transfer processes using adaptive coefficients.Finally, at the end of the paper, a validation vs empirical correlations is presented.

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Section: Resultsmentioning

confidence: 99%

Adaptive interface treatment for aerothermal coupling using a Discontinuous Galerkin method

Nguyen

Errera

Labbé

et al. 2020

International Journal of Thermal Sciences

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“…in (9) which corresponds to a "perfect" conduction in the solid. When the solid conduction departs significantly from that assumption, in a solid ceramic material for instance, effective changes can be made to extend the scope of the D-R conditions so as to continue to retain this single interface treatment [37] [38].…”

Section: Dirichlet-robin Interface Treatment With Radiationmentioning

confidence: 99%

A numerical predictive model for conjugate heat transfer with radiation

Errera

Moretti

Mayeur

et al. 2020

International Journal of Heat and Mass Transfer

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Taking into account radiation effects is a crucial part of the design and optimization of applications involving high temperatures. This paper outlines the development of a predictive coupling model for steady state conjugate heat transfer problems including radiative boundary conditions that models radiative exchanges between gray walls in a transparent medium. This canonical model is based on the Godunov-Ryabenkii normal mode analysis theory. The general expression of the amplification factor, the stability bounds and the optimal coefficients are provided. Moreover, a numerical Biot number including radiation effects that controls the stability of the model, is proposed. The destabilizing effect of radiation is highlighted and quantified. A specific test case is then presented to evaluate the consistency of this model. The numerical and physical parameters of this test case were specifically designed to target large fluid-structure interactions (ceramic material, high radiative coefficient). The numerical results fully comply with the theoretical results derived from the predictive model.

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Physical modeling of conjugate heat transfer for multiregion and multiphase systems with the Volume-of-Fluid method

Kind,

Sielaff,

Stephan

2024

Engineering with Computers

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The Volume-of-Fluid (VOF) method is commonly used for numerical simulations of phase change phenomena, such as nucleate boiling or droplet evaporation. A key issue with the standard VOF method is the averaging of the liquid and vapor properties in interface cells, which causes non-physical conjugate heat transfer with a solid wall. Therefore, we aim at a physical model for conjugate heat transfer between a solid and a multiphase fluid. The first measure for higher quality simulations is the splitting of the single temperature field in the fluid region into separate liquid and vapor temperature fields. The second measure is the development of a new, more physical temperature boundary condition for conjugate heat transfer between a solid region and a multiphase fluid, based on experimental results, theoretical models and theoretical considerations. In interface cells, the vapor phase is excluded from the conjugate heat transfer because only heat transfer to the liquid phase occurs resp. dominates. Additionally, the conjugate heat transfer between solid and liquid in the interface cells is performed with virtual subcells, depending on the respective volume fraction of the liquid phase. This new approach (we name it distinctive approach) is successfully validated for energy conservation, and stability issues are discussed for the first time. Significant differences to simulations with averaged properties are observed due to the (now) physically correct modeling of conjugate heat transfer. In our boiling cases, the more accurate numerical simulations lead to considerably larger bubble growth rates. Higher quality simulations are also expected for nearly all applications, where there is a three-phase contact line, be it vapor bubbles in nucleate boiling or droplets impacting on a heated surface.

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Adaptive diffusive time-step in conjugate heat transfer interface conditions for thermal-barrier-coated applications

Cited by 9 publications

References 28 publications

Adaptive interface treatment for aerothermal coupling using a Discontinuous Galerkin method

Adaptive interface treatment for aerothermal coupling using a Discontinuous Galerkin method

A numerical predictive model for conjugate heat transfer with radiation

Physical modeling of conjugate heat transfer for multiregion and multiphase systems with the Volume-of-Fluid method

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