TY - JOUR
T1 - Semi-Implicit Interior Penalty Discontinuous Galerkin Methods for Viscous Compressible Flows
AU - Vít Dolejsí
JO - Communications in Computational Physics
VL - 2
SP - 231
EP - 274
PY - 2008
DA - 2008/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7789.html
KW - 
AB - <p style="text-align: justify;">We deal with the numerical solution of the Navier-Stokes equations describing a motion of viscous compressible fluids. In order to obtain a sufficiently stable
higher order scheme with respect to the time and space coordinates, we develop a
combination of the discontinuous Galerkin finite element (DGFE) method for the space
discretization and the backward difference formulae (BDF) for the time discretization.
Since the resulting discrete problem leads to a system of nonlinear algebraic equations at each time step, we employ suitable linearizations of inviscid as well as viscous
fluxes which give a linear algebraic problem at each time step. Finally, the resulting
BDF-DGFE scheme is applied to steady as well as unsteady flows and achieved results
are compared with reference data.</p>