Abstract:
An alternative WENO scheme which preserves free stream properties is used to compute premixed combustion flow field induced by cylinders with different radiuses. Euler equations are solved by this 5
th-order WENO scheme in body fitted curvilinear coordinate system. The grids are generated by analytical formulations for smoothness. The WENO scheme used in this paper combines with grid derivatives and conserves free stream properties in contrast to standard WENO schemes in the curvilinear systems.
L1 errors,
L2 errors, and
L∞ errors are checked and free stream properties are verified for the WENO scheme. The grid independence is also checked for the obtained results. Pressure and temperature contours as well as their distributions along a symmetry line passing through stand-off points are obtained to show the ignition delay. The results demonstrate that a shock front and a flame front are both captured accurately by the coarse grid, as well as the distance between the flame front and shock wave corresponds to ignition delay for the specified chemistry model. The results show good agreement with those from the reference. The distance between the flame front and shock wave decreases with increasing the cylinder radius. In contrast to second order TVD scheme, grids are reduced considerable by the WENO scheme for almost the same numerical results.