IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v16y2023i12p4604-d1167094.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/16/12/4604/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/16/12/4604/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Yi Ji & Yufeng Xing, 2023. "Highly Accurate and Efficient Time Integration Methods with Unconditional Stability and Flexible Numerical Dissipation," Mathematics, MDPI, vol. 11(3), pages 1-36, January.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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).
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mahmoud Saleh & Endre Kovács & Imre Ferenc Barna & László Mátyás, 2022. "New Analytical Results and Comparison of 14 Numerical Schemes for the Diffusion Equation with Space-Dependent Diffusion Coefficient," Mathematics, MDPI, vol. 10(15), pages 1-26, August.
    2. Miglena N. Koleva & Lubin G. Vulkov, 2024. "Numerical Reconstruction of Time-Dependent Boundary Conditions to 2D Heat Equation on Disjoint Rectangles at Integral Observations," Mathematics, MDPI, vol. 12(10), pages 1-18, May.
    3. Hongyu Zhang & Fei Gan & Guangqin Huang & Chunlong Zhuang & Xiaodong Shen & Shengbo Li & Lei Cheng & Shanshan Hou & Ningge Xu & Zhenqun Sang, 2022. "Study on Heat Storage Performance of Phase Change Reservoir in Underground Protection Engineering," Energies, MDPI, vol. 15(15), pages 1-31, August.
    4. Kong, Xiangfei & Jiang, Lina & Yuan, Ye & Qiao, Xu, 2022. "Experimental study on the performance of an active novel vertical partition thermal storage wallboard based on composite phase change material with porous silica and microencapsulation," Energy, Elsevier, vol. 239(PE).
    5. Pirasaci, Tolga & Sunol, Aydin, 2024. "Potential of phase change materials (PCM) for building thermal performance enhancement: PCM-composite aggregate application throughout Turkey," Energy, Elsevier, vol. 292(C).
    6. Ljungdahl, V. & Taha, K. & Dallaire, J. & Kieseritzky, E. & Pawelz, F. & Jradi, M. & Veje, C., 2021. "Phase change material based ventilation module - Numerical study and experimental validation of serial design," Energy, Elsevier, vol. 234(C).
    7. Alicia Crespo & Gabriel Zsembinszki & David Vérez & Emiliano Borri & Cèsar Fernández & Luisa F. Cabeza & Alvaro de Gracia, 2021. "Optimization of Design Variables of a Phase Change Material Storage Tank and Comparison of a 2D Implicit vs. 2D Explicit Model," Energies, MDPI, vol. 14(9), pages 1-15, May.
    8. Imre Ferenc Barna & László Mátyás, 2022. "Advanced Analytic Self-Similar Solutions of Regular and Irregular Diffusion Equations," Mathematics, MDPI, vol. 10(18), pages 1-17, September.
    9. Hamidreza Behi & Mohammadreza Behi & Ali Ghanbarpour & Danial Karimi & Aryan Azad & Morteza Ghanbarpour & Masud Behnia, 2021. "Enhancement of the Thermal Energy Storage Using Heat-Pipe-Assisted Phase Change Material," Energies, MDPI, vol. 14(19), pages 1-19, September.
    10. Jinghua Yu & Kangxin Leng & Feifei Wang & Hong Ye & Yongqiang Luo, 2020. "Simulation Study on Dynamic Thermal Performance of a New Ventilated Roof with Form-Stable PCM in Southern China," Sustainability, MDPI, vol. 12(22), pages 1-21, November.
    11. Sergei Sitnik, 2023. "Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”," Mathematics, MDPI, vol. 11(15), pages 1-7, August.
    12. Nakhchi, M.E. & Hatami, M. & Rahmati, M., 2021. "A numerical study on the effects of nanoparticles and stair fins on performance improvement of phase change thermal energy storages," Energy, Elsevier, vol. 215(PA).
    13. Zhou, Yuekuan, 2022. "Demand response flexibility with synergies on passive PCM walls, BIPVs, and active air-conditioning system in a subtropical climate," Renewable Energy, Elsevier, vol. 199(C), pages 204-225.
    14. Tavakoli, Ali & Farzaneh-Gord, Mahmood & Ebrahimi-Moghadam, Amir, 2023. "Using internal sinusoidal fins and phase change material for performance enhancement of thermal energy storage systems: Heat transfer and entropy generation analyses," Renewable Energy, Elsevier, vol. 205(C), pages 222-237.
    15. Köse Murathan, Eda & Manioğlu, Gülten, 2020. "Evaluation of phase change materials used in building components for conservation of energy in buildings in hot dry climatic regions," Renewable Energy, Elsevier, vol. 162(C), pages 1919-1930.
    16. Farzaneh Safari & Qingshan Tong & Zhen Tang & Jun Lu, 2022. "A Meshfree Approach for Solving Fractional Galilei Invariant Advection–Diffusion Equation through Weighted–Shifted Grünwald Operator," Mathematics, MDPI, vol. 10(21), pages 1-18, October.
    17. Dawid Taler & Jan Taler & Tomasz Sobota & Jarosław Tokarczyk, 2022. "Cooling Modelling of an Electrically Heated Ceramic Heat Accumulator," Energies, MDPI, vol. 15(16), pages 1-26, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:16:y:2023:i:12:p:4604-:d:1167094. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.