A temporally adaptive hybridized discontinuous Galerkin method for instationary compressible flows
نویسندگان
چکیده
The potential of the hybridized discontinuous Galerkin (HDG) method has been recognized for the computation of stationary flows. Extending the method to instationary problems can, e.g., be done by backward difference formulae (BDF) or diagonally implicit Runge-Kutta (DIRK) methods. In this publication, we investigate the use of embedded DIRK methods in an HDG solver, including the use of adaptive timestep control. Numerical results are shown that demonstrate the performance of the method for both linear and nonlinear (systems of) instationary convectiondiffusion equations.
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