TY - JOUR
T1 - A fast, high resolution, second-order central scheme for incompressible flows
AU - Kupferman, Raz
AU - Tadmor, Eitan
PY - 1997/5/13
Y1 - 1997/5/13
N2 - A high resolution, second-order central difference method for incompressible flows is presented. The method is based on a recent second- order extension of the classic Lax-Friedrichs scheme introduced for hyperbolic conservation laws (Nessyahu H. and Tadmor E. (1990) J. Comp. Physics. 87, 408-463; Jiang G.-S. and Tadmor E. (1996) UCLA CAM Report 96- 36, SIAM J. Sci. Comput., in press) and augmented by a new discrete Hodge projection. The projection is exact, yet the discrete Laplacian operator retains a compact stencil. The scheme is fast, easy to implement, and readily generalizable. Its performance was tested on the standard periodic double shear-layer problem; no spurious vorticity patterns appear when the flow is underresolved. A short discussion of numerical boundary conditions is also given, along with a numerical example.
AB - A high resolution, second-order central difference method for incompressible flows is presented. The method is based on a recent second- order extension of the classic Lax-Friedrichs scheme introduced for hyperbolic conservation laws (Nessyahu H. and Tadmor E. (1990) J. Comp. Physics. 87, 408-463; Jiang G.-S. and Tadmor E. (1996) UCLA CAM Report 96- 36, SIAM J. Sci. Comput., in press) and augmented by a new discrete Hodge projection. The projection is exact, yet the discrete Laplacian operator retains a compact stencil. The scheme is fast, easy to implement, and readily generalizable. Its performance was tested on the standard periodic double shear-layer problem; no spurious vorticity patterns appear when the flow is underresolved. A short discussion of numerical boundary conditions is also given, along with a numerical example.
KW - central difference schemes
KW - hyperbolic conservation laws
KW - nonoscillatory schemes
KW - second-order accuracy
UR - http://www.scopus.com/inward/record.url?scp=0031008396&partnerID=8YFLogxK
U2 - 10.1073/pnas.94.10.4848
DO - 10.1073/pnas.94.10.4848
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AN - SCOPUS:0031008396
SN - 0027-8424
VL - 94
SP - 4848
EP - 4852
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 10
ER -