A comparison of gradient approximations for use in finite-volume computational models for two-dimensional diffusion equations

Numerical Heat Transfer, Part B: Fundamentals

Volumn 40, Issue 5, 2001, Pages 367-390

  Jayantha, P A ^a   Turner, I W ^a  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000765142     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/104077901753243179     Document Type: Article

References (21)

1. I. W. Turner and W. J. Ferguson, An Unstructured Mesh Cell-Centered Control Volume Method for Simulating Heat and Mass Transfer in Porous Media: Application to Softwood Drying, Part I: The Isotropic Model, Appl. Math. Modelling, vol. 19, pp. 654-667, 1995.
2. I. W. Turner and W. J. Ferguson, An Unstructured Mesh Cell-Centered Control Volume Method for Simulating Heat and Mass Transfer in Porous Media: Application to Softwood Drying, Part II: The Anisotropic Model, Appl. Math. Modelling, vol. 19, pp. 668-674, 1995.
3. P. Chow, M. Cross, and K. Pericleous, A Natural Extension of the Conventional Finite Volume Method into Polygonal Unstructured Meshes for CFD Application, Appl. Math. Modelling, vol. 20, pp. 170-183, 1996.
4. I. Turner and P. Perre, A Synopsis of the Strategies and Efficient Resolution Techniques Used for Modeling and Numerically Simulating the Drying Process, in I. Turner and A. S. Mujumdar (eds.), Mathematical Modeling and Numerical Techniques in Drying Technology, chap. 1, Marcel Dekker, New York, 1996.
5. J. Y. Murthy and S. R. Mathur, Computation of Anisotropic Conduction Using Unstructured Meshes, J. Heat Transfer, vol. 120, pp. 583-591, 1998.
6. N. Croft, Unstructured Mesh-Finite Volume Algorithms for Swirling, Turbulent, Reacting Flows, Ph.D. thesis, University of Greenwich, London, U.K., 1998.
7. C. Bailey, G. A. Taylor, M. Cross, and P. Chow, Dicretization Procedures for MultiPhysics Phenomena, J. Comput. Appl. Math., vol. 103, pp. 3-17, 1999.
8. F. Hermeline, A Finite Volume Method for the Approximation of Diffusion Operators on Distorted Meshes, J. Comput. Phys., vol. 160, pp. 481-499, 2000.
9. T. J. Barth, Aspects of Unstructured Grids and Finite-Volume Solvers for the Euler and Navier-Stokes Equations, Lecture Notes Presented at the VKI Lecture Series 1994-05, Feb. 1994.
10. C. F. Ollivier-Gooch, A New Class of ENO Schemes Based on Unlimited Data-Depen-dent Least-Squares Reconstruction, AIAA—34th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA-96-0887, 1996.
11. C. Ilinca, X. D. Zhang, J.-Y. Trepanier, and R. Camarero, A Comparison of Three Error Estimation Techniques for Finite-Volume Solutions of Compressible Flows, Comput. Meth. Appl. Mech. Eng., vol. 189, pp. 1277-1294, 2000.
12. H. A. van der Vorst, BI-CGSTAB: A Fast and Smoothly Converging Variant of BI-CG for the Solutions of Nonsymmetric Linear Systems, SIAM J. Sci. Stat. Comput., vol. 13, no. 2, pp. 631-644, 1992.
13. E. Turkel, Accuracy of Schemes with Nonuniform Meshes for Compressible Fluid Flows, ICASE Rep. 85-43, NASA, Virginia, 1985.
14. W. J. Ferguson, The Control Volume Finite Element Numerical Solution Technique Applied to Creep in Softwoods, Int. J. Solids Struct., vol. 35, no. 13, pp. 1325-1338, 1998.
15. M. N. Ozisik, Heat Conduction, Wiley, New York, 1980.
16. A. Jennings and J. J. McKeown, Matrix Computation, 2d ed., Wiley, New York, 1992.
17. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1980.
18. J. E. Marsden and A. J. Tromba, Vector Calculus, 4th ed., pp. 466-476, Freeman, 1998.
19. P. Perre and I. Turner, TransPore: A Generic Heat and Mass Transfer Computational Model for Understanding and Visualizing the Drying of Porous Media, Invited Paper, Drying Technol. J., vol. 17, no. 7, pp. 1273-1289, 1999.
20. B. Niceno, EasyMesh (Version 1.4), available at http://www-dinma.univ.trieste.it/-nirftc/research/easymesh/
21. P. A. Jayantha, Ph.D. thesis (to be submitted), Queensland University of Technology, Brisbane, Australia, 2002.