TY - JOUR
T1 - Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations
AU - Rokicki, J.
AU - Floryan, J. M.
N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].
PY - 1995/1
Y1 - 1995/1
N2 - We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determination of pressure from a suitable Poisson equation is given. Results of various tests show that the error of the algorithm is proportional to Re2 · h4. Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. © 1995 by Academic Press, Inc.
AB - We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determination of pressure from a suitable Poisson equation is given. Results of various tests show that the error of the algorithm is proportional to Re2 · h4. Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. © 1995 by Academic Press, Inc.
UR - http://www.scopus.com/inward/record.url?scp=0000489688&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0000489688&origin=recordpage
U2 - 10.1006/jcph.1995.1007
DO - 10.1006/jcph.1995.1007
M3 - RGC 21 - Publication in refereed journal
SN - 0021-9991
VL - 116
SP - 79
EP - 96
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -