Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes

Year:    2006

Communications in Computational Physics, Vol. 1 (2006), Iss. 2 : pp. 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.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-CiCP-7954

Communications in Computational Physics, Vol. 1 (2006), Iss. 2 : pp. 192–206

Published online:    2006-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords: