Volume 1, Issue 1
An Upwind Difference Scheme and Its Corresponding Boundary Scheme

Lan Chien Huang

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J. Comp. Math., 1 (1983), pp. 75-82

Published online: 1983-01

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  • Abstract

An upwind difference scheme was given by the author in [5] for the numerical solution of steady-state problems. The present work studies this upwind scheme and its corresponding boundary scheme for the numerical solution of unsteady problems. For interior points the difference equations are approximations of the characteristic relations corresponding to the outgoing characteristics and the "non-reflecting" boundary conditions. Calculation of a Riemann problem in a finite computational region yields promising numerical results.

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@Article{JCM-1-75, author = {Lan Chien Huang}, title = {An Upwind Difference Scheme and Its Corresponding Boundary Scheme}, journal = {Journal of Computational Mathematics}, year = {1983}, volume = {1}, number = {1}, pages = {75--82}, abstract = { An upwind difference scheme was given by the author in [5] for the numerical solution of steady-state problems. The present work studies this upwind scheme and its corresponding boundary scheme for the numerical solution of unsteady problems. For interior points the difference equations are approximations of the characteristic relations corresponding to the outgoing characteristics and the "non-reflecting" boundary conditions. Calculation of a Riemann problem in a finite computational region yields promising numerical results. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9683.html} }
TY - JOUR T1 - An Upwind Difference Scheme and Its Corresponding Boundary Scheme AU - Lan Chien Huang JO - Journal of Computational Mathematics VL - 1 SP - 75 EP - 82 PY - 1983 DA - 1983/01 SN - 1 DO - http://dor.org/ UR - https://global-sci.org/intro/article_detail/jcm/9683.html KW - AB - An upwind difference scheme was given by the author in [5] for the numerical solution of steady-state problems. The present work studies this upwind scheme and its corresponding boundary scheme for the numerical solution of unsteady problems. For interior points the difference equations are approximations of the characteristic relations corresponding to the outgoing characteristics and the "non-reflecting" boundary conditions. Calculation of a Riemann problem in a finite computational region yields promising numerical results.
Lan Chien Huang. (1970). An Upwind Difference Scheme and Its Corresponding Boundary Scheme. Journal of Computational Mathematics. 1 (1). 75-82. doi:
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