Abstract
A Runge–Kutta Discontinuous Galerkin method (RKDG) to solve the parabolic and source parts of reactive Navier–Stokes equations written in conservation form is presented. The parabolic operator uses a recent recovery method set up by van Leer for structured grids and a new projection method proposed by Borrel–Ryan for unstructured grids. The physical model involves complex chemistry and detailed transport. Transport coefficients are evaluated using algorithms which provide empirical expressions. In 1-D test cases the RKDG method is compared with a high order finite difference method. 2-D test cases in structured, unstructured and hybrid meshes are presented.
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