Abstract
A new finite difference scheme-SCSD scheme has been proposed based on CD (Central Difference) scheme and SUD (Second-order Upwind Difference) scheme. Its basic feature is controllable convective stability and always second-order accuracy (Stability-Controllable Second-order Difference). It has been proven that this scheme is convective-stable if the grid Peclet number |Pδ| ≤ 2/(β (≤ β ≤ 1). The advantage of this new scheme has been discussed based on the modified wavenumber analysis by using Fourier transform. This scheme has been applied to the 2-D incompressible convective-diffusive equation and 2-D compressible Euler equation, and corresponding finite difference equations have been derived. Numerical examples of 1-D Burgers equation and 2-D transport equation have been presented to show its good accuracy and controllable convective stability.
| Original language | English |
|---|---|
| Pages (from-to) | 119-130 |
| Number of pages | 12 |
| Journal | Journal of Thermal Science |
| Volume | 7 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1998 |
Keywords
- Convective-stability
- Grid Peclet number
- SCSD scheme
- Wavenumber