TY - JOUR
T1 - A numerical study of the axisymmetric couette-taylor problem using a fast high-resolution second-order central scheme
AU - Kupferman, R. A.Z.
PY - 1998
Y1 - 1998
N2 - We present a numerical study of the axisymmetric Couette-Taylor problem using a finite difference scheme. The scheme is based on a staggered version of a second-order centraldifferencing method combined with a discrete Hodge projection. The use of central-differencing operators obviates the need to trace the characteristic flow associated with the hyperbolic terms. The result is a simple and efficient scheme which is readily adaptable to other geometries and to more complicated flows. The scheme exhibits competitive performance in terms of accuracy, resolution, and robustness. The numerical results agree accurately with linear stability theory and with previous numerical studies.
AB - We present a numerical study of the axisymmetric Couette-Taylor problem using a finite difference scheme. The scheme is based on a staggered version of a second-order centraldifferencing method combined with a discrete Hodge projection. The use of central-differencing operators obviates the need to trace the characteristic flow associated with the hyperbolic terms. The result is a simple and efficient scheme which is readily adaptable to other geometries and to more complicated flows. The scheme exhibits competitive performance in terms of accuracy, resolution, and robustness. The numerical results agree accurately with linear stability theory and with previous numerical studies.
KW - Central difference schemes
KW - Couette-taylor problem
KW - Incompressible flow
UR - http://www.scopus.com/inward/record.url?scp=0032226451&partnerID=8YFLogxK
U2 - 10.1137/S1064827597318009
DO - 10.1137/S1064827597318009
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AN - SCOPUS:0032226451
SN - 1064-8275
VL - 20
SP - 858
EP - 877
JO - SIAM Journal on Scientific Computing
JF - SIAM Journal on Scientific Computing
IS - 3
ER -