A Runge Kutta Discontinuous Galerkin approach to solve reactive flows on conforming hybrid grids: the parabolic and source operators

作者：Billet G; Ryan J^*; Borrel M

来源：Computers & Fluids, 2014, 95: 98-115.

DOI：10.1016/j.compfluid.2014.01.031

• Discontinuous Galerkin approach
• Runge-Kutta time scheme
• Reactive flows
• Multispecies flows
• Unsteady flows
• Gaseous interface
• Hybrid grid

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.

• 出版日期2014-5-22