A high-order Discontinuous Galerkin Chimera method for laminar and turbulent flows

作者：Wurst Michael^*; Kessler Manuel; Kraemer Ewald

来源：Computers & Fluids, 2015, 121: 102-113.

DOI：10.1016/j.compfluid.2015.08.013

• CFD
• High-order methods
• Chimera method
• RANS equations
• Discontinuous Galerkin

In this study we present a Chimera scheme for the Discontinuous Galerkin method for the compressible Navier-Stokes equations as well as the Reynolds-Averaged Navier-Stokes (RANS) equations. For the turbulent simulations we use the Spalart-Allmaras one-equation turbulence model to close the RANS system. Focus of the study is the implementation of the Chimera scheme with a detailed description of all the necessary parts of the method: hole-cutting, definition of an interpolation operator and adaption of the time integration scheme. Concerning the time integration scheme the differences between explicit and implicit Chimera boundary conditions are elaborated for an implicit time-integration scheme solved with a Newton-GMRES method. The accuracy of the implemented method is tested with the method of manufactured solutions and an inviscid simulation of a Gaussian bump. The robustness and reliability is then assessed with a circular cylinder (Re = 40) and a NACA0012 airfoil (Re = 2.88. 10(6)) at different angles of attack. Both cases are run with a single grid and a Chimera grid version and compared with each other and with experimental and numerical reference data.

• 出版日期2015-10-22