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Comparison of truncation error of finite-difference and finite-volume formulations of convection terms
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Leonard, B. P. |
| Copyright Year | 1992 |
| Description | Judging by errors in the computational-fluid-dynamics literature in recent years, it is not generally well understood that (above first-order) there are significant differences in spatial truncation error between formulations of convection involving a finite-difference approximation of the first derivative, on the one hand, and a finite-volume model of flux differences across a control-volume cell, on the other. The difference between the two formulations involves a second-order truncation-error term (proportional to the third-derivative of the convected variable). Hence, for example, a third (or higher) order finite-difference approximation for the first-derivative convection term is only second-order accurate when written in conservative control-volume form as a finite-volume formulation, and vice versa. |
| File Size | 393376 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19930002343 |
| Archival Resource Key | ark:/13960/t18m27393 |
| Language | English |
| Publisher Date | 1992-09-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Computational Fluid Dynamics Finite Difference Theory Upwind Schemes Mathematics Finite Volume Method Taylor Series Truncation Errors Convection Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
