Numerical Simulation of Convection-Diffusion Problems by the Control-Volume-Based Finite-Element Method

REFERENCES

• C. T. Shaw , Using Computational Fluid Dynamics , Prentice Hall , New York , 1992 .
   Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , 1980 .
   Google Scholar
• J. B. Campos-Silva , Simulação Numérica de Escoamentos de Fluidos pelo Método de Elementos Finitos Baseado em Volumes de Controle , Doctorate Thesis in Mechanical Engineering, UNICAMP—Faculdade de Engenharia Mecânica—Departamento de Engenharia Térmica e de Fluidos , Campinas-SP , Brasil , 1998 . (In Portuguese.)
   Google Scholar
• G. Dhatt and G. Touzot , The Finite-Element Method Displayed , John Wiley & Sons , Chichester , 1984 .
   Google Scholar
• J. J. Connor and C. A. Brebbia , Finite Element Techniques for Fluid Flow . Butterworth & Co (Publishers) Ltd. , London , 1976.
   Google Scholar
• T. J. Chung , Finite-Element Analysis in Fluid Dynamics , McGraw-Hill , New York , 1978 .
   Google Scholar
• T. J. Chung , Computational Fluid Dynamics , Cambridge University Press , Cambridge , 2000 .
   Google Scholar
• A. J. Baker , Finite Element Computational Fluid Mechanics , McGraw-Hill , New York , 1983 .
   Google Scholar
• H. J. Saabas , A Control Volume Finite-Element Method for Three-Dimensional, Incompressible, Viscous Fluid Flow . PhD thesis, Montreal, Quebec, Canada, Dept. of. Mech. Eng., McGill University , 1991 .
   Google Scholar
• C. H. Whiting , Stabilized Finite-Element Methods for Fluid Dynamics using a Hierarchical Basics , PhD thesis, Troy, New York, USA, Faculty of Rensselaer Polytechnic Institute, 1999 .
   Google Scholar
• O. C. Zienkiewicz and R. L. Taylor , Finite-Element Method, Volume 3: Fluid Dynamics , Butterworth Heinemann , Oxford , 2000 .
   Google Scholar
• B. R. Baliga and S. V. Patankar , A New Finite-Element Formulation for Convection-Diffusion Problems , Numer. Heat Transfer, Part B , vol. 3 , pp. 393 – 409 , 1980 .
   Google Scholar
• B. R. Baliga and S. V. Patankar , A Control Volume Finite-Element Method for Two-Dimensional Fluid Flow and Heat Transfer , Numer. Heat Transfer, Part A , vol. 6 , pp. 245 – 261 , 1983 .
   Google Scholar
• B. R. Baliga , T. T. Pham , and S. V. Patankar , Solution of Some Two-Dimensional Incompressible Fluid Flow and Heat Transfer Problems using a Control Volume Finite-Element Method , Numer. Heat Transfer, Part B , vol. 6 , pp. 263 – 282 , 1983 .
   Google Scholar
• G. E. Schneider and M. J. Raw , A Skewed , Positive Influence Coefficient Upwinding Procedure for Control-Volume-Based Finite-Element Convection-Diffusion Computation , Numer. Heat Transfer, Part B , vol. 9 , pp. 1 – 26 , 1986 .
   Web of Science ®Google Scholar
• G. E. Schneider and M. J. Raw , Control Volume Finite-Element Method for Heat Transfer and Fluid Flow using Collocated Variables—1. Computation Procedure , Numer. Heat Transfer, Part B , vol. 11 , pp. 363 – 390 , 1987 .
   Web of Science ®Google Scholar
• G. E. Schneider and M. J. Raw , Control Volume Finite-Element Method for Heat Transfer and Fluid Flow using Collocated Variables—2. Application and Validation , Numer. Heat Transfer, Part B , vol. 11 , pp. 391 – 416 , 1987 .
   Web of Science ®Google Scholar
• M. J. Raw , G. E. Schneider , and V. Hassani , A Nine-Node Quadratic Control-Volume-Based Finite-Element for Heat Conduction . J. Spacecraft , vol. 22 , no. 5 , pp. 523 – 529 , 1985 .
   Web of Science ®Google Scholar
• R. C. Lima , Simulação de Grandes Escalas de Escoamentos Incompressíveis com Transferência de Calor e Massa por um Método de Elementos Finitos de Subdomínio , Master's dissertation, Ilha Solteira: Faculdade de Engenharia, Universidade Estadual Paulista, Campus de Ilha Solteira, SP, Brasil, 2005 . (In Portuguese.)
   Google Scholar
• J. N. Reddy , An Introduction to the Finite-Element Method , 2nd ed. , McGraw-Hill , New York , 1993 .
   Google Scholar
• O. A. Neves , Simulação Numérica de Dispersão de Poluentes pelo Método de Elementos Finitos baseado em Volumes de Controle , Doctorate Thesis in Mechanical Engineering, UNICAMP—Faculdade de Engenharia Mecânica—Departamento de Engenharia Térmica e de Fluidos, Campinas-SP, Brasil , 2007 . (In Portuguese.)
   Google Scholar
• C. Taylor and T. G. Hughes , Finite Element Programming of the Navier-Stokes Equations , Pineridge Press Limited , Swansea , UK , 1981 .
   Google Scholar
• B. Ledain Muir and B. R. Baliga , Solution of Three-Dimensional Convection-Diffusion Problems using Tetrahedral Elements and Flow-Oriented Upwind Interpolation Functions , Numer. Heat Transfer , vol. 9 , pp. 163 – 182 , 1986 .
   Google Scholar
• R. K. Shah and A. L. London , Laminar Flow Forced Convection in Ducts, A Source Book for Compact Heat Exchanger Analytical Data , Academic Press , New York , 1978 .
   Google Scholar