Improvement of Element Creation Procedure for Generating Initial Triangular Unstructured Mesh for Radiative Heat Transfer Modelling

(*) Corresponding author

Authors' affiliations

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)


In this paper, the methods for generating triangular unstructured mesh that follow the approach of Advancing Front Techniques (AFT) are studied. Extended Advancing Front Technique (XAFT) is also another technique that is usually used to generate triangular unstructured meshes especially in radiative heat transfer modeling. The proposed technique which called The Seven Cases Unstructured Triangulation Technique (7CUTT) is compared with the Extended Advancing Front Technique (XAFT). This paper highlights the differences resulted from the transformations with regards to its radius and the cases of consideration during element creation procedure for both techniques. The unstructured mesh generated from both techniques is then integrated with the governing equation of radiative heat transfer in order to obtain the approximation of flue gas temperature in the simplified conceptual model of ethylene furnace by using Discrete Ordinate Method (DOM) in FLUENT software. From the results, the quality of the generated mesh in the simulation using both techniques is compared.
Copyright © 2013 Praise Worthy Prize - All rights reserved.


Extended Advancing Front Technique; Seven Cases Unstructured Triangulation Technique; Radiative Heat Transfer; Triangular Unstructured Mesh

Full Text:



Koomullil, R., B. Soni, and R. Singh, A comprehensive generalized mesh system for CFD applications. Mathematics and Computers in Simulation, 2008. 78: p. 605-617.

Farrashkhalvat, M. and J.P. Miles, Basic structured grid generation with an introduction to unstructured grid generation. 2003: Butterworth Heinemann.

Rebay, S., Efficient unstructured mesh generation by means of delaunay triangulation and Bowyer-Watson algorithm. Journal of Computational Physics, 1993. 106(1): p. 125-138.

Teng, S.-H. and C.W. Wong, Unstructured mesh generation: Theory, practice and perspectives. International Journal of Computational Geometry and Applications, 2000. 10(3): p. 227-266.

Lohner, R., Progress in Grid Generation via the Advancing Front Technique. Engineering with Computers, 1996: p. 186-210.

Mavriplis, D.J., Unstructured grid technique. Annual Review Fluid Mechanics, 1997: p. 473-514.

Bathe, K.-J., Current directions in meshing, in Mechanical Engineering. 1998, ProQuest Central.

Muylle, J., P. Ivanyi, and B.H.V. Topping, A new point creation scheme for uniform Delaunay triangulation. Engineering Computations, 2002. 19: p. 707-735.

Liseikin, V.D., Unstructured Methods, in Grid Generation Methods. 2010, Springer

Cebeci, T., et al., Grid Generation, in Computational Fluid Dynamics for Engineers. 2005, Springer Berlin Heidelberg. p. 263-294.

El-Hamalawi, A., A 2D combined advancing front-Delaunay mesh generation scheme. Finite elements in analysis and design, 2004. 40: p. 967-989.

Muller, J.D., P.L. Roe, and H. Deconinck, A frontal approach for internal node generation in delaunay triangulations. International Journal for Numerical Methods in Fluids, 1993. 17: p. 241-255.

Mavriplis, D.J., An Advancing Front Delaunay Triangulation Algorithm Designed for Robustness. Journal of Computational Physics, 1995. 117(1): p. 90-101.

Mavriplis, D.J., Unstructured mesh generation and adaptivity. 1995, Institute for Computer Applications in Science and Engineering (ICASE).

Frey, P.J., H. Borouchaki, and P.-L. George, 3D Delaunay mesh generation coupled with an advancing-front approach. Computer methods in applied mechanics and engineering, 1998. 157: p. 115-131.

Radovitzky, R. and M. Ortiz, Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation. Computational Methods in Applied Mechanics and Engineering., 2000. 187: p. 543-569.

Sahimi, M., et al., Upscaled unstructured computational grids for efficient simulation of flow in fractured porous media. Transport in Porous Media, 2010. 83(1): p. 195-218.

Naji, H.S., An improved advancing front algorithm for triangulating arbitrary two dimensional regions. 2004.

Ito, Y., et al., Parallel unstructured mesh generation by an advancing front method. Mathematics and Computers in Simulation, 2007. 75: p. 200-209.

Sazonov, I., et al., A stitching method for the generation of unstructured meshes for use with co-volume solution techniques. Computational Methods in Applied Mechanics and Engineering., 2006. 195: p. 1826–1845.

Hernández-Mederos, V., P.L.d. Ángel, and J. Estrada-Sarlabous, Isotropic umbrella based triangulation of regular parametric surfaces. Numer Algor, 2008. 48: p. 29–47.

Wang, W.X., C.Y. Ming, and S.H. Lo, Generation of triangular mesh with specified size by circle packing. Advances in Engineering Software, 2007. 38: p. 133-142.

Abas, Z.A. and S. Salleh. Enhanced Advancing Front Technique with Extension Cases for Initial Triangular Mesh Generation. in World Congress on Engineering 2011. 2011. London.

Basari, A.S.H., Z.A. Abas, and S. Salleh, Seven Cases Unstructured Triangulation Technique for Simplified Version of Conceptual Model of Ethylene Furnace for Radiative Heat Transfer Approximation. International Journal of Computer Applications, 2012. 44(No 21 April 2012): p. 36-43.

Abas, Z.A., Enhanced Advancing Front Techniques For Mesh Generation In Radiative Heat Transfer Problem, in Department of Mathematics, Faculty of Science. 2012, Universiti Teknologi Malaysia: Skudai. p. 197.

Abas, Z.A. and S. Salleh, Extended Advancing Front Technique for the initial triangular mesh construction on a single coil for radiative heat transfer. The Arabian Journal for Science and Engineering, 2013.

Ansari, A.B., Gandjalikhan Nassab, S.A., Thermal characteristics of convective flows encountered in a 2-D backward facing step under the effect of radiative heat transfer, (2010) International Review of Mechanical Engineering (IREME), 4 (6), pp. 711-718.

Ansari, A.B., Gandjalikhan Nassab, S.A., Numerical analysis of laminar forced convection flow of a radiating gas over an inclined forward facing step, (2011) International Review of Mechanical Engineering (IREME), 5 (1), pp. 121-127.

Golkarfard, V., Gandjalikhan Nassab, S.A., Ansari, A.B., Deposition of solid particles in convective flow over backward-facing step under the effect of radiative heat transfer, (2011) International Review of Mechanical Engineering (IREME), 5 (5), pp. 867-875.


  • There are currently no refbacks.

Please send any question about this web site to
Copyright © 2005-2024 Praise Worthy Prize