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DEVELOPMENT OF AN HIGH-ORDER IMPLICIT DISCONTINUOUS GALERKIN METHOD ON UNSTRUCTURED MESHES  

Lee, H.D. (한국과학기술원 대학원 항공우주공학과)
Kwon, O.J. (한국과학기술원 항공우주공학과)
Publication Information
Journal of computational fluids engineering / v.12, no.3, 2007 , pp. 29-40 More about this Journal
Abstract
An implicit discontinuous Galerkin method for the two-dimensional Euler equations was developed on unstructured triangular meshes. The method can achieve high-order spatial accuracy by using hierachical basis functions based on Legendre polynomials. Numerical tests were conducted to estimate the convergence order of numerical solutions to the Ringleb flow and the supersonic vortex flow for which analytic solutions are available. Also, the flows around a 2-D circular cylinder and an NACA0012 airfoil were numerically simulated. The numerical results showed that the implicit discontinuous Galerkin methods couples with a high-order representation of curved solid boundaries can be an efficient method to obtain very accurate numerical solutions on unstructured meshes.
Keywords
Discontinuous Galerkin Method; Implicit Time Integration; High-order Method; Unstructured Meshes;
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