Abstract
A new characteristic-based method for the solution of the 2D laminar incompressible Navier-Stokes equations is presented. For coupling the continuity and momentum equations, the artificial compressibility formulation is employed. The primitives variables (pressure and velocity components) are defined as functions of their values on the characteristics. The primitives variables on the characteristics are calculated by an upwind differencing scheme based on the sign of the local eigenvalue of the Jacobian matrix of the convective fluxes. The upwind scheme uses interpolation formulae of third-order accuracy. The time discretization is obtained by the explicit Runge-Kutta method. Validation of the characteristic-based method is performed on two different cases: the flow in a simple cascade and the flow over a backward-facing step.
| Original language | English |
|---|---|
| Pages (from-to) | 667-685 |
| Number of pages | 19 |
| Journal | International Journal for Numerical Methods in Fluids |
| Volume | 19 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 30 Oct 1994 |
Keywords
- fluid mechanics
- compressibility of liquids
- Eigenvalues and Eigenfunctions
- equations of motion
- interpolation
- laminar flow
- numerical methods
- incompressible flows
- Jacobian matrices
- Runge-Kutta method
- time discretization
- upwind differencing scheme
- flow of fluids
- Navier-Stokes equations
- Riemann solver
- artificial compressibility