A high-order flux reconstruction method for 3D mixed overset meshes. (English) Zbl 1519.76141
Summary: The use of overset meshes can significantly simplify grid generation for complex configurations, and is particularly desired for moving boundary problems as remeshing is often unnecessary. In the present study, we develop a high-order flux reconstruction (FR) solver for mixed overset meshes including the near-body, and background meshes. The main objective is to achieve uniformly high order accuracy in the entire computational domain on both the near body and the background grids. Two different approaches to handle the overset interfaces are evaluated for accuracy, efficiency and robustness. Waves passing across the overset interfaces are tested with both smooth and discontinuous waves. In the present study, we focus on non-moving boundary problems, and demonstrate the overall methodology for steady and unsteady flow problems.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
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