Unstructured Navier-Stokes/Euler Solver
Investigators: Laith Zori & Ganesh Rajagopalan
Sponsored by : AEEM Department
This method solves numericaly the 2D or the 3D, unstead and compressible Navier-Stokes
equations on unstructured grids consist of triangular elements for 2D cases or
tetradedron elements for 3D cases. The cell-vertex median-dual control-volume
discretization is implemented. The upwinded inviscid fluxes are based on the
flux-vector splitting (FDS) of Roe.
The gradients in the viscous terms are obtained using integration over each of
the triangular or tetrahedron elemens.
An explicit and an implicit temporal discretization are used. The explicit scheme utilizes
the multi-stage Runge-Kutta finite volume time marching scheme. Convergence acceleration
of the explicit scheme is achieved with the use of local time-stepping and residual averaging.
For the implicit temporal discretization the Block-Point-Gauss-Seidel
iterative scheme is employed.
Modeling Capabilities:
- 2-D geometry using unstructured triangular mesh.
- 3-D geometry using unstructured tetrahedron mesh.
- Unsteady, 2nd-order time accurate solution.
- Time explicit 4-stage Runge-Kutta formulation.
- Time implicit Block-Point-Gauss-Seidel formulation.
- Convergence Acceleration to steady-state attained via local time stepping
and residual averaging for the explicit scheme.
- Subsonic, transonic and supersonic flow solution.
- Inviscid, Upwinding based on Euler equations.
- Viscous, Laminar flow based on Navier-Stokes equations.
Applications & Results:
Viscous Unsteady Subsonic Flow Solution Over a 2D Cylinder at M=0.25 & Re=1400:
click on the image to view
the movie.
Inviscid Supersonic Flow Solution Over a 2D Airfoil at M=1.5:
Inviscid Transonic Flow Solution Over a 2D Airfoil at M=0.75:
Viscous Subsonic Flow Solution in a ramped duct at M=0.25 & Re=1000:
