Timeline for Solving the convection-diffusion equation using finite differences at high Peclet numbers
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 4, 2014 at 3:42 | comment | added | Bill Barth | Given that linear FEM and FVM methods can directly reduced to central-difference methods, you should expect that they should have similar $Pe$ restrictions. | |
| Apr 4, 2014 at 1:56 | comment | added | boyfarrell | I thought that only finite-volume and finite-element had a Peclet number restriction for stability? | |
| Apr 3, 2014 at 13:03 | comment | added | Wolfgang Bangerth | To add to Bill's answer, it is well known that finite difference or finite element schemes become unstable for advection dominated problems like yours. Search the literature for the term "transport stabilization" and you will find an infinite supply of schemes to remedy this, as well as a great deal of analysis. | |
| Apr 3, 2014 at 11:47 | history | answered | Bill Barth | CC BY-SA 3.0 |