620 research outputs found
A temporally adaptive hybridized discontinuous Galerkin method for time-dependent compressible flows
The potential of the hybridized discontinuous Galerkin (HDG) method has been
recognized for the computation of stationary flows. Extending the method to
time-dependent problems can, e.g., be done by backward difference formulae
(BDF) or diagonally implicit Runge-Kutta (DIRK) methods. In this work, we
investigate the use of embedded DIRK methods in an HDG solver, including the
use of adaptive time-step control. Numerical results demonstrate the
performance of the method for both linear and nonlinear (systems of)
time-dependent convection-diffusion equations
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