Volume 1, Issue 2
Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes

B. van Leer

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Commun. Comput. Phys., 1 (2006), pp. 192-206.

Published online: 2006-01

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  • Abstract

In this paper I review three key topics in CFD that have kept researchers busy for half a century. First, the concept of upwind differencing, evident for 1-D linear advection. Second, its implementation for nonlinear systems in the form of high-resolution schemes, now regarded as classical. Third, its genuinely multidimensional implementation in the form of residual-distribution schemes, the most recent addition. This lecture focuses on historical developments; it is not intended as a technical review of methods, hence the lack of formulas and absence of figures.

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@Article{CiCP-1-192, author = {}, title = {Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {2}, pages = {192--206}, abstract = {

In this paper I review three key topics in CFD that have kept researchers busy for half a century. First, the concept of upwind differencing, evident for 1-D linear advection. Second, its implementation for nonlinear systems in the form of high-resolution schemes, now regarded as classical. Third, its genuinely multidimensional implementation in the form of residual-distribution schemes, the most recent addition. This lecture focuses on historical developments; it is not intended as a technical review of methods, hence the lack of formulas and absence of figures.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7954.html} }
TY - JOUR T1 - Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes JO - Communications in Computational Physics VL - 2 SP - 192 EP - 206 PY - 2006 DA - 2006/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7954.html KW - AB -

In this paper I review three key topics in CFD that have kept researchers busy for half a century. First, the concept of upwind differencing, evident for 1-D linear advection. Second, its implementation for nonlinear systems in the form of high-resolution schemes, now regarded as classical. Third, its genuinely multidimensional implementation in the form of residual-distribution schemes, the most recent addition. This lecture focuses on historical developments; it is not intended as a technical review of methods, hence the lack of formulas and absence of figures.

B. van Leer. (2020). Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes. Communications in Computational Physics. 1 (2). 192-206. doi:
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