TY - JOUR
T1 - Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows
AU - Björn Sjögreen & H. C. Yee
JO - Communications in Computational Physics
VL - 2-4
SP - 730
EP - 744
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7760.html
KW - 
AB - <p style="text-align: justify;">Flows containing steady or nearly steady strong shocks on parts of the flow
field, and unsteady turbulence with shocklets on other parts of the flow field are
difficult to capture accurately and efficiently employing the same numerical scheme,
even under the multiblock grid or adaptive grid refinement framework. While sixth-order or higher-order shock-capturing methods are appropriate for unsteady turbulence with shocklets, third-order or lower shock-capturing methods are more effective
for strong steady or nearly steady shocks in terms of convergence. In order to minimize the short comings of low order and high order shock-capturing schemes for the
subject flows, a multiblock overlapping grid with different types of spatial schemes
and orders of accuracy on different blocks is proposed. The recently developed single
block high order filter scheme in generalized geometries for Navier Stokes and magnetohydrodynamics systems is extended to multiblock overlapping grid geometries. The
first stage in validating the high order overlapping approach with several test cases is
included.</p>