hpAdaptive discontinuous Galerkin methods for bifurcation phenomena in open flowsTools Cliffe, Andrew and Hall, Edward and Houston, Paul (2012) hpAdaptive discontinuous Galerkin methods for bifurcation phenomena in open flows. Computers and Mathematics with Applications . ISSN 08981221 (Submitted)
AbstractIn this article we consider the a posteriori error estimation and adaptive mesh refinement of hpversion discontinuous Galerkin finite element approximations of the bifurcation problem associated with the steady incompressible NavierStokes equations. Particular attention is given to the reliable error estimation of the critical Reynolds number at which a steady pitchfork bifurcation occurs when the underlying physical system possesses either reflectional Z_2 symmetry, or rotational and reflectional O(2) symmetry.
Actions (Archive Staff Only)
