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Comparison of the Performance of New and Traditional Numerical Methods for Long-Term Simulations of Heat Transfer in Walls with Thermal Bridges

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  • Issa Omle

    (Department of Fluid and Heat Engineering, University of Miskolc, 3515 Miskolc, Hungary
    Institute of Physics and Electrical Engineering, University of Miskolc, 3515 Miskolc, Hungary
    Mechanical Power Engineering Department, Al-Baath University, Homs 77, Syria)

  • Ali Habeeb Askar

    (Department of Fluid and Heat Engineering, University of Miskolc, 3515 Miskolc, Hungary
    Institute of Physics and Electrical Engineering, University of Miskolc, 3515 Miskolc, Hungary
    Mechanical Engineering Department, University of Technology—Iraq, Baghdad 10066, Iraq)

  • Endre Kovács

    (Institute of Physics and Electrical Engineering, University of Miskolc, 3515 Miskolc, Hungary)

  • Betti Bolló

    (Department of Fluid and Heat Engineering, University of Miskolc, 3515 Miskolc, Hungary)

Abstract

Several previous experiments showed that the leapfrog–hopscotch and the adapted Dufort–Frankel methods are the most efficient among the explicit and stable numerical methods to solve heat transfer problems in building walls. In this paper, we extensively measure the running times of the most successful methods and compare them to the performance of other available solvers, for example, ANSYS transient thermal analysis and the built-in routines of MATLAB, where three different mesh resolutions are used. We show that the running time of our methods changes linearly with mesh size, unlike in the case of other methods. After that, we make a long-term simulation (one full winter month) of two-dimensional space systems to test the two best versions of the methods. The real-life engineering problem we solve is the examination of thermal bridges with different shapes in buildings to increase energy efficiency.

Suggested Citation

  • Issa Omle & Ali Habeeb Askar & Endre Kovács & Betti Bolló, 2023. "Comparison of the Performance of New and Traditional Numerical Methods for Long-Term Simulations of Heat Transfer in Walls with Thermal Bridges," Energies, MDPI, vol. 16(12), pages 1-27, June.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:12:p:4604-:d:1167094
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    References listed on IDEAS

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    1. Chenfei Liu & Stephen Sharples & Haniyeh Mohammadpourkarbasi, 2023. "A Review of Building Energy Retrofit Measures, Passive Design Strategies and Building Regulation for the Low Carbon Development of Existing Dwellings in the Hot Summer–Cold Winter Region of China," Energies, MDPI, vol. 16(10), pages 1-25, May.
    2. Endre Kovács & Ádám Nagy & Mahmoud Saleh, 2021. "A Set of New Stable, Explicit, Second Order Schemes for the Non-Stationary Heat Conduction Equation," Mathematics, MDPI, vol. 9(18), pages 1-22, September.
    3. Somayeh Pourghanbar & Jalil Manafian & Mojtaba Ranjbar & Aynura Aliyeva & Yusif S. Gasimov, 2020. "An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-12, November.
    4. Varun Kumar & K. Chandan & K. V. Nagaraja & M. V. Reddy, 2022. "Heat Conduction with Krylov Subspace Method Using FEniCSx," Energies, MDPI, vol. 15(21), pages 1-16, October.
    5. Pirasaci, Tolga, 2020. "Investigation of phase state and heat storage form of the phase change material (PCM) layer integrated into the exterior walls of the residential-apartment during heating season," Energy, Elsevier, vol. 207(C).
    6. Humam Kareem Jalghaf & Endre Kovács & János Majár & Ádám Nagy & Ali Habeeb Askar, 2021. "Explicit Stable Finite Difference Methods for Diffusion-Reaction Type Equations," Mathematics, MDPI, vol. 9(24), pages 1-21, December.
    7. Ndivhuwo Ndou & Phumlani Dlamini & Byron Alexander Jacobs, 2022. "Enhanced Unconditionally Positive Finite Difference Method for Advection–Diffusion–Reaction Equations," Mathematics, MDPI, vol. 10(15), pages 1-18, July.
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    Cited by:

    1. Piotr Sobierajewicz & Janusz Adamczyk & Robert Dylewski, 2024. "Multi-Criterial Carbon Assessment of the City," Energies, MDPI, vol. 17(18), pages 1-33, September.

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