Comparative Analysis of the Finite-Difference Method of Finite Elements in Heat Conduction Modeling
Received: 2026-10-14
Published: 2026-09-30
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List of references
-
Fletcher K. Vychislitel’nye metody v dinamike zhidkostey [Computational methods in fluid dynamics]. vol. 1–2. Mir; 1991. (In
-
Russian).
-
Malikov Z, Nazarov F, Khaydarov S. Numerical study of subsonic hot and near-sonic submerged jets based on a two-fluid model. J Appl Comput Mech. 2025;11(4):871–886.
-
Nazarov FK, et al. Calculation of axisymmetric transonic jet with various turbulence models using COMSOL Multiphysics package. AIP Conf Proc. 2025;3256(1):040040.
-
Malikov Z, Nazarov F. Numerical study of flow on a flat plate with zero pressure gradient based on a two-fluid model. AIP Conf Proc. 2025;3265(1):060003.
-
Nazarov F, et al. Numerical calculation of turbulent flow in a two-dimensional flat diffuser based on the COMSOL Multiphysics software. In: Proceedings of the 7th International Conference on Future Networks and Distributed Systems; 2023:372–376.
-
Parneix S, Durbin PA, Behnia M. Computation of 3-D turbulent boundary layers using the V2F model. Flow Turbul Combust. 1998;60(1):19–46.
-
Mazumder MHM. Comparative study of turbulence models in CFD for transonic flow over the ONERA M6 wing. Discov Mech Eng. 2024;3:46. https://doi.org/10.1007/s44245-024-00080-5.
-
Kuznetsov GV, Sheremet MA. Raznostnye metody resheniya zadach teploprovodnosti [Finite-difference methods for solving heat conduction problems]. Tomsk Polytechnic University; 2007. (In Russian).
-
Samarskii AA, Vabishchevich PN. Vychislitel’naya teploperedacha [Computational heat transfer]. Editorial URSS; 2003. (In Russian).
-
Mayeur J, Dumont A, Destarac D, Gleize V. RANS simulations on TMR test cases and M6 wing with the Onera elsA flow solver. In: 54th AIAA Aerospace Sciences Meeting; 2016. January 4–8, 2016. https://doi.org/10.2514/6.2015-1745.
-
Zhukov MY, Shiryaeva EV. Ispol’zovanie paketa konechnykh elementov FreeFem++ dlya zadach gidrodinamiki, elektroforeza i biologii [Use of the FreeFem++ finite element package for problems of hydrodynamics, electrophoresis, and biology]. Southern Federal University; 2008. (In Russian).
-
NASA Langley Research Center. 3D ONERA M6 Wing Validation Case. NASA Langley Research Center; 2026. Accessed October 6, 2026. Turbulence Modeling Resource. Available from: https://turbmodels.larc.nasa.gov/onerawingnumerics_val.html.
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