TY - JOUR
T1 - Investigation of blending-function-based overlapping-grid technique for compressible flows
AU - Drikakis, D.
AU - Majewski, J.
AU - Rokicki, J.
AU - Óltak, J.
N1 - Funding Information:
The present research was supported by the CEC Copernicus Grant No. CP94-01239 and also by the KBN Grants 7-T07-A022-14 and 9-T12-C069-14. A substantial part of the work was performed when Jacek Rokicki was staying at the Zentrum für Hochleistungsrechnen of TU-Dresden, whose hospitality is kindly acknowledged. Performance tests were run on the CRAY T3E at ZHR, TU-Dresden. The names of the authors appear in alphabetical order.
Copyright:
Copyright 2007 Elsevier B.V., All rights reserved.
PY - 2001/7/6
Y1 - 2001/7/6
N2 - The paper presents the development and investigation of a blending-function-based overlapping-grid technique for compressible Euler flows. In this technique, local solutions, obtained on overlapping subdomains, are combined into a global function using blending functions as weights. This global function is subsequently used to impose new boundary conditions on interfaces. The local solutions are obtained using the Riemann solver and an implicit-unfactored method, for spatial and temporal discretization, respectively. Several numerical experiments are carried out for flows around circular-arc and two-element airfoils, and demonstrate that the blending function approach improves the numerical convergence for grid configurations containing multiple overlaps.
AB - The paper presents the development and investigation of a blending-function-based overlapping-grid technique for compressible Euler flows. In this technique, local solutions, obtained on overlapping subdomains, are combined into a global function using blending functions as weights. This global function is subsequently used to impose new boundary conditions on interfaces. The local solutions are obtained using the Riemann solver and an implicit-unfactored method, for spatial and temporal discretization, respectively. Several numerical experiments are carried out for flows around circular-arc and two-element airfoils, and demonstrate that the blending function approach improves the numerical convergence for grid configurations containing multiple overlaps.
KW - Compressible flows
KW - Implicit methods
KW - Overlapping grids
UR - http://www.scopus.com/inward/record.url?scp=0035816349&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(00)00373-X
DO - 10.1016/S0045-7825(00)00373-X
M3 - Article
AN - SCOPUS:0035816349
SN - 0045-7825
VL - 190
SP - 5173
EP - 5195
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 39
ER -