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Computation of high-temperature equilibrium airflows using discontinuous Galerkin finite element method. (English) Zbl 1084.76050

Summary: The discontinuous Galerkin (DG) finite element method is applied to simulate high-temperature equilibrium airflows. Two approximate Riemann solvers are used to compute the advective flux. 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 effective \(\gamma\) approach. The effective \(\gamma\) is obtained through a polynomial curve fit. 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 effectiveness and accuracy of the DG method in chemically reacting airflows.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76V05 Reaction effects in flows
76N15 Gas dynamics (general theory)
80A32 Chemically reacting flows

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References:

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