Abstract
A fourth-order, semi-discrete central-upwind scheme for multidimensional convection-diffusion equation is presented, where the local speed of wave propagation in the Riemann fans is considered based on a central weighted essentially nonoscillatory (CWENO) reconstruction, and much lower numerical viscosity is encountered and the staggering between two grids is avoided, which is regarded as a semi-discrete central-upwind scheme situated between upwind scheme and central scheme. Combining the semi-discrete central-upwind scheme with the Vorticity-Stream method, 2D incompressible Euler and Navier-Stokes equations are solved effectively.
| Original language | English |
|---|---|
| Pages (from-to) | 90-95 |
| Number of pages | 6 |
| Journal | Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics |
| Volume | 23 |
| Issue number | 1 |
| State | Published - Mar 2006 |
Keywords
- Central weighted essentially nonoscillatory scheme
- Convection-diffusion equation
- Incompressible Euler equations
- Incompressible Navier-Stokes equations
- Semi-discrete central-upwind scheme