An effective, locally exact finite-difference scheme for convection-diffusion problems

Numerical Heat Transfer, Part B: Fundamentals

Volumn 36, Issue 2, 1999, Pages 183-205

  Kriventsev, Vladimir ^a   Ninokata, Hisashi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; ONE DIMENSIONAL; PROBLEM SOLVING; TWO DIMENSIONAL;

CONVECTION DIFFUSION PROBLEMS; EFFICIENT FINITE DIFFERENCING;

HEAT CONVECTION;

EID: 0033189113     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/104077999275712     Document Type: Article

References (10)

1. S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.
2. B. P. Leonard, A Stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation, Comput. Meth. Appl. Mech. Eng., vol. 19, pp. 59-98, 1979.
3. H. H. Wong and G. D. Raithby, Improved Finite-Difference Methods Based on a Critical Evaluation on the Approximation Errors, Numer. Heat Transfer, vol. 2, pp. 139-163, 1979.
4. L. M. C. Varejao, Flux-Spline Method for Heat, Mass and Momentum Transfer, Ph.D. thesis, University of Minnesota, 1980.
5. K. C. Karki, S. V. Patankar, and H. C. Mongia, Three-Dimensional Fluid Flow Calculations Using a Flux-Spline Method, AIAA J. vol. 28, no. 4, pp. 631-634, 1990.
6. K. C. Karki, P. S. Sathyamurthy, and S. V. Patankar, Performance of Multigrid Method with an Improved Discretization Scheme for Three-Dimensional Fluid Flow Calculations, Numer. Heat Transfer B, vol. 29, pp. 275-288. 1996.
7. K. Sakai, A Locally Exact Numerical Scheme with Nonoscillation Properties for Stationary Transport Equations with Absorption and Source Terms, Nuclear Sci. Eng., vol. 123, pp. 57-67, 1996.
8. C. Prakash, Application of the Locally Analytic Differencing Scheme to Some Test Problems for the Convection-Diffusicn Equation, Numer. Heat Transfer, vol. 7, pp. 165-182, 1984.
9. V. Kriventsev and H. Ninokata, An Application of Efficient Finite-Differencing Scheme to Transient Problems of Fluid Flow and Heat Transfer, Proc 5th Int. Conf. on Nuclear EngineeringICONE-5, Nice, France, 1997.
10. V. Bets and V. Kriventsev, An Object-Oriented Approach in Problems of Numerical Heat and Mass Transfer, Proc 5th Int. Conf. on Nuclear Engineering ICONE-5, Nice, France, 1997.