DOI: 10.1051/epjconf/201818002096. Polyhedral meshing in numerical analysis of conjugate heat transfer

Polyhedral meshing in numerical analysis of conjugate heat transfer

10.1051/epjconf/201818002096

Crossref journal-article

EDP Sciences

EPJ Web of Conferences (250)

Abstract

Computational methods have been widely applied in conjugate heat transfer analysis. The very first and crucial step in such research is the meshing process which consists in dividing the analysed geometry into numerous small control volumes (cells). In Computational Fluid Dynamics (CFD) applications it is desirable to use the hexahedral cells as the resulting mesh is characterized by low numerical diffusion. Unfortunately generating such mesh can be a very time-consuming task and in case of complicated geometry - it may not be possible to generate cells of good quality. Therefore tetrahedral cells have been implemented into commercial pre-processors. Their advantage is the ease of its generation even in case of very complex geometry. On the other hand tetrahedrons cannot be stretched excessively without decreasing the mesh quality factor, so significantly larger number of cells has to be used in comparison to hexahedral mesh in order to achieve a reasonable accuracy. Moreover the numerical diffusion of tetrahedral elements is significantly higher. Therefore the polyhedral cells are proposed within the paper in order to combine the advantages of hexahedrons (low numerical diffusion resulting in accurate solution) and tetrahedrons (rapid semi-automatic generation) as well as to overcome the disadvantages of both the above mentioned mesh types. The major benefit of polyhedral mesh is that each individual cell has many neighbours, so gradients can be well approximated. Polyhedrons are also less sensitive to stretching than tetrahedrons which results in better mesh quality leading to improved numerical stability of the model. In addition, numerical diffusion is reduced due to mass exchange over numerous faces. This leads to a more accurate solution achieved with a lower cell count. Therefore detailed comparison of numerical modelling results concerning conjugate heat transfer using tetrahedral and polyhedral meshes is presented in the paper.

Bibliography

Sosnowski, M., Krzywanski, J., Grabowska, K., & Gnatowska, R. (2018). Polyhedral meshing in numerical analysis of conjugate heat transfer. EPJ Web of Conferences, 180, 02096.

Authors 4

Marcin Sosnowski (first)
Jaroslaw Krzywanski (additional)
Karolina Grabowska (additional)
Renata Gnatowska (additional)

References 16 Referenced 110

Kroll N., The ADIGMA Project, in Adigma-a European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications: Results of a Collaborative Research Project Funded by the European Union, 2006-2009, N. Kroll, et al., Editors. 2010, Springer-Verlag Berlin: Berlin. p. 1-9. (10.1007/978-3-642-03707-8_1)
{'issue': '5', 'key': 'R2', 'first-page': '2961', 'volume': '37', 'author': 'Jamrozik', 'year': '2013', 'journal-title': 'Numerical simulation of two-stage combustion in SI engine with prechamber'} / Numerical simulation of two-stage combustion in SI engine with prechamber by Jamrozik (2013)
10.12913/22998624/75967 / Advances in Science and Technology Research Journal by Jamrozik (2017)
10.15244/pjoes/40272 / Polish Journal of Environmental Studies by Gnatowska (2015)
10.1016/j.renene.2012.10.007 / Renewable Energy by Lanzafame (2013)
Gnatowska R., Sosnowski M., and Uruba V., CFD modelling and PIV experimental validation of flow fields in urban environments. E3S Web of Conferences, 2017. 14. (10.1051/e3sconf/20171401034)
Gnatowska R. and Rybak T., Numerical Analysis of Heat Transfer around 2D Circular Cylinder in Pulsation Inflow, in Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2014, T.E. Simos and C. Tsitouras, Editors. 2015. (10.1063/1.4913180)
Gnatowska R. and Sikora S., Numerical Analysis of Wind Flow and Erosion in Flow around the Bump Terrain, in Proceedings of the International Conference of Numerical Analysis and Applied Mathematics 2014, T.E. Simos and C. Tsitouras, Editors. 2015. (10.1063/1.4913179)
Zylka A., et al. Numerical simulations of fluidization dynamics in a hot model of a CLC process. in 4th Scientific and Technical Conference on Modern Technologies and Energy Systems (WTiUE). 2016. Cracow, POLAND.
10.1080/10255842.2010.518565 / Computer Methods in Biomechanics and Biomedical Engineering by Spiegel (2011)
10.1016/j.advengsoft.2017.05.010 / Advances in Engineering Software by Bianchi (2017)
10.1016/j.biosystemseng.2017.06.012 / Biosystems Engineering by Li (2017)
10.1002/nme.4911 / International Journal for Numerical Methods in Engineering by Su (2015)
10.1051/e3sconf/20171401027 / E3S Web of Conferences by Sosnowski (2017)
10.1016/j.jcp.2014.01.006 / Journal of Computational Physics by Eca (2014)
Celik I.B., et al., Procedure for estimation and reporting of uncertainty due to discretization in CFD applications. Journal of Fluids Engineering- Transactions of the Asme, 2008. 130(7). (10.1115/1.2960953)

Dates

Type	When
Created	6 years, 5 months ago (March 8, 2019, 5:38 a.m.)
Deposited	5 years, 4 months ago (March 26, 2020, 6:03 a.m.)
Indexed	1 month ago (July 19, 2025, 11:30 p.m.)
Issued	7 years, 7 months ago (Jan. 1, 2018)
Published	7 years, 7 months ago (Jan. 1, 2018)
Published Online	7 years, 2 months ago (June 4, 2018)
Published Print	7 years, 7 months ago (Jan. 1, 2018)

Funders 0

None

BibTeX

@article{Sosnowski_2018, title={Polyhedral meshing in numerical analysis of conjugate heat transfer}, volume={180}, ISSN={2100-014X}, url={http://dx.doi.org/10.1051/epjconf/201818002096}, DOI={10.1051/epjconf/201818002096}, journal={EPJ Web of Conferences}, publisher={EDP Sciences}, author={Sosnowski, Marcin and Krzywanski, Jaroslaw and Grabowska, Karolina and Gnatowska, Renata}, editor={Dančová, P.}, year={2018}, pages={02096} }

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