## Upwind and High-Resolution Methods for Compressible Flows: From Donor . . . (2006)

by
Bram van Leer

Citations: | 12 - 2 self |

### BibTeX

@MISC{Leer06upwindand,

author = {Bram van Leer},

title = {Upwind and High-Resolution Methods for Compressible Flows: From Donor . . . },

year = {2006}

}

### OpenURL

### 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 highresolution 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.