TY - JOUR
T1 - A Cartesian Compact Scheme for the Navier–Stokes Equations in Streamfunction Formulation in Irregular Domains
AU - Ben-Artzi, Matania
AU - Croisille, Jean Pierre
AU - Fishelov, Dalia
N1 - Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/12/1
Y1 - 2019/12/1
N2 - In Ben-Artzi et al. (SIAM J Numer Anal 47:3087–3108, 2009) we introduced an embedded Cartesian scheme for the biharmonic problem in two dimensions. Here we extend this methodology to the 2D Navier–Stokes system. Hermite (or Birkhoff) interpolation is invoked in one and two dimensions to obtain finite difference operators. The consistency analysis of the discrete formulas for irregular grids is emphasized. Numerical results demonstrate remarkable accuracy for a series of test cases for flows in elliptical domains.
AB - In Ben-Artzi et al. (SIAM J Numer Anal 47:3087–3108, 2009) we introduced an embedded Cartesian scheme for the biharmonic problem in two dimensions. Here we extend this methodology to the 2D Navier–Stokes system. Hermite (or Birkhoff) interpolation is invoked in one and two dimensions to obtain finite difference operators. The consistency analysis of the discrete formulas for irregular grids is emphasized. Numerical results demonstrate remarkable accuracy for a series of test cases for flows in elliptical domains.
KW - Biharmonic problem
KW - Embedded compact scheme
KW - Navier–Stokes equations
UR - http://www.scopus.com/inward/record.url?scp=85069172246&partnerID=8YFLogxK
U2 - 10.1007/s10915-019-01012-2
DO - 10.1007/s10915-019-01012-2
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AN - SCOPUS:85069172246
SN - 0885-7474
VL - 81
SP - 1386
EP - 1408
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
IS - 3
ER -