Multi-dimensional Simulation of Phase Change by a 0D-2D Model Coupling via Stefan Condition
| العنوان: | Multi-dimensional Simulation of Phase Change by a 0D-2D Model Coupling via Stefan Condition |
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| المؤلفون: | Louis Viot, Adrien Drouillet, Romain Le Tellier, Mathieu Peybernes, Raphaël Loubère |
| المساهمون: | Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | Communications on Applied Mathematics and Computation Communications on Applied Mathematics and Computation, Springer, In press |
| بيانات النشر: | Springer Science and Business Media LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | 2D heat conduction model, Work (thermodynamics), Materials science, Computer simulation, Discretization, 020209 energy, Applied Mathematics, 02 engineering and technology, Mechanics, Thermal conduction, 7. Clean energy, Finite element method, 0D multi-layer model, Model coupling, Computational Mathematics, Solidification, Heat flux, Phase (matter), Simulation of phase change, Heat transfer, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Fusion, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] |
| الوصف: | International audience; Considering phase changes associated with a high-temperature molten material cooled down from the outside, this work presents an improvement of the modelling and the numerical simulation of such processes for an application pertaining to the safety of light water nuclear reactors. Postulating a core meltdown accident, the behaviour of the core melt (aka corium) into a steel vessel is of tremendous importance when evaluating the vessel integrity. Evaluating correctly the heat fluxes requires the numerical simulation of the interaction between the liquid material and its solid counterpart which forms during the solidification process, but also may melt back. To simulate this configuration, encountered in various industrial applications, one considers a bi-phase model constituted by a liquid phase in contact and interaction with its solid phase. The liquid phase may solidify in presence of low energetic source, while the solid phase may melt due to an intense heat flux from the high-temperature liquid. In the frame of the in-house legacy code, several simplifying assumptions (0D multi-layer discretization, instantaneous heat transfer via a quadratic temperature profile in solids) are made for the modelling of such phase changes. In the present work, these shortcomings are illustrated and further overcome by solving a 2D heat conduction model in the solid by a mixed Raviart-Thomas finite element method coupled to the liquid phase due to heat and mass exchanges through Stefan condition. The liquid phase is modeled with a 0D multi-layer approach. The 0D-liquid and 2D-solid models are coupled by a Stefan like phase change interface model. Several sanity checks are performed to assess the validity of the approach on 1D and 2D academical configurations for which exact or reference solutions are available. Then more advanced situations (genuine multidimensional phase changes and an "industrial-like scenario") are simulated to verify the appropriate behavior of the obtained coupled simulation scheme. |
| تدمد: | 2661-8893 2096-6385 |
| DOI: | 10.1007/s42967-021-00157-y |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f198e7e843640486b5da89de7b783b42 https://doi.org/10.1007/s42967-021-00157-y |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....f198e7e843640486b5da89de7b783b42 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 26618893 20966385 |
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| DOI: | 10.1007/s42967-021-00157-y |