Computation of high-temperature equilibrium airflows using discontinuous Galerkin finite element method

Abstract

SUMMARYIn this paper, the discontinuous Galerkin (DG) ÿnite element method is applied to simulate hightemperature equilibrium air ows. Two approximate Riemann solvers are used to compute the advective ux. A second-order TVD Runge-Kutta time integration scheme is employed to march the solution in time. The extension to equilibrium chemistry is implemented by using the e ective approach. The e ective is obtained through a polynomial curve ÿt. With this approach, the computation of the species composition of the equilibrium air can be completely separated from the main solver. Several numerical examples are provided to demonstrate the e ectiveness and accuracy of the DG method in chemically reacting air ows.

Numerical methods for energy flux of temperature diffusion equation on unstructured meshes

“…When the cell nodes are at the material interface, the accuracy of unknowns is not satisfactory. As for more methods of flux approximation, the readers are referred to [10][11][12][13][14][15][16].…”