Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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HIGH-ORDER WEIGHTED DIFFERENCE SCHEMESTHE CONVECTION-DIFFUSION PROBLEMS

  • Choo, S.M. (Department of Mathematics Seoul National University) ;
  • Chung, S.K. (Department of Mathematics Seoul National University) ;
  • Kim, Y.H. (Department of Mathematics Yousei University)
  • Published : 1999.10.01
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Abstract

High-order weighted difference schemes with uniform meshes are considered for the convection-diffusion problem depending on Reynolds numbers. For small Reynolds numbers, a weighed cen-tral difference scheme is suggested since there is no boundary layer. For large Reynolds numbers, we propose a modified up wind method with an artificial diffusion in order to overcome nonphysical oscilla-tion of central schemes and obtain good accuracy in the boundary later. Existence and corresponding error estimates of the solution for the difference scheme have been shown. Numerical experiments are provided to back up the analysis.

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References

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