A High-order Lifting Collocation Penalty Formulation for the Navier-Stokes Equations on 2D Mixed Grids
نویسندگان
چکیده
The newly developed lifting collocation penalty (LCP) formulation for conservation laws is extended to solve the Navier-Stokes equations on 2D mixed meshes. The LCP formulation is an extension of the flux reconstruction (FR) method. Like the FR method, it can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a more efficient differential form. For the discretization of viscous fluxes, two compact formulations are employed, including the 2 nd approach of Bassi and Rebay (BR2) and the I-continuous approach recently introduced by Huynh (2009). Several test cases are conducted with the implicit LU-SGS scheme to demonstrate the capability of the LCP formulation.
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