Transactions of Nanjing University of Aeronautics & Astronautics
An h-adaptive Discontinuous Galerkin Method for Laminar Compressible Navier-Stokes Equations on Curved Mesh
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Abstract:
An h-adaptive method is developed for highorder discontinuous Galerkin methods (DGM) to solve the laminar compressible Navier-Stokes (N-S) equations on unstructured mesh. The vorticity is regarded as the indicator of adaptivity. The elements where the vorticity is larger than a pre-defined upper limit are refined, and those where the vorticity is smaller than a pre-defined lower limit are coarsened if they have been refined. A high-order geometric approximation of curved boundaries is adopted to ensure the accuracy. Numerical results indicate that highly accurate numerical results can be obtained with the adaptive method at relatively low expense.
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