메뉴 건너뛰기




Volumn 225, Issue 2, 2007, Pages 1590-1602

A new consistent splitting scheme for incompressible Navier-Stokes flows: A least-squares spectral element implementation

Author keywords

Incompressible flow; Least squares; Spectral hp methods; Splitting schemes

Indexed keywords

ADVECTION; CIRCULAR CYLINDERS; CONJUGATE GRADIENT METHOD; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; POISSON EQUATION; REYNOLDS NUMBER; SOLENOIDS;

EID: 34547553839     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.02.009     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 0041192970 scopus 로고    scopus 로고
    • Stability of conjugate gradient and Lanczos methods for linear least-squares problems
    • Bjorck A., Elfving T., and Strakos Z. Stability of conjugate gradient and Lanczos methods for linear least-squares problems. SIAM J. Matrix Anal. Appl. 19 (1998) 720-736
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , pp. 720-736
    • Bjorck, A.1    Elfving, T.2    Strakos, Z.3
  • 2
    • 0000981612 scopus 로고    scopus 로고
    • Least-squares finite element method for the Stokes problem with zero residual of mass conservation
    • Chang C.L., and Nelson J.J. Least-squares finite element method for the Stokes problem with zero residual of mass conservation. J. Numer. Anal. 34 (1997) 480-489
    • (1997) J. Numer. Anal. , vol.34 , pp. 480-489
    • Chang, C.L.1    Nelson, J.J.2
  • 4
    • 0242679674 scopus 로고    scopus 로고
    • A new class of truly consistent splitting schemes for incompressible flows
    • Guermond J.L., and Shen J. A new class of truly consistent splitting schemes for incompressible flows. J. Comput. Phys. 192 (2003) 262-276
    • (2003) J. Comput. Phys. , vol.192 , pp. 262-276
    • Guermond, J.L.1    Shen, J.2
  • 5
    • 33746140897 scopus 로고    scopus 로고
    • An overview of projection methods for incompressible flows
    • Guermond J.L., Minev P., and Shen J. An overview of projection methods for incompressible flows. Comput. Methods Appl. Mech. Eng. 195 (2006) 6011-6045
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 6011-6045
    • Guermond, J.L.1    Minev, P.2    Shen, J.3
  • 6
    • 7544236194 scopus 로고    scopus 로고
    • Least-squares spectral collocation for the Navier-Stokes equations
    • Heinrichs W. Least-squares spectral collocation for the Navier-Stokes equations. J. Sci. Comput. 21 (2004) 81-90
    • (2004) J. Sci. Comput. , vol.21 , pp. 81-90
    • Heinrichs, W.1
  • 7
    • 0028993138 scopus 로고
    • Details on the drag curve near the onset of vortex shedding
    • Henderson R.D. Details on the drag curve near the onset of vortex shedding. Phys. Fluids 7 (1995) 2102-2105
    • (1995) Phys. Fluids , vol.7 , pp. 2102-2105
    • Henderson, R.D.1
  • 8
    • 0001030190 scopus 로고
    • Unstructured spectral element methods for simulation of turbulent flows
    • Henderson R.D., and Karniadakis G.E. Unstructured spectral element methods for simulation of turbulent flows. J. Comput. Phys. 122 (1995) 191-217
    • (1995) J. Comput. Phys. , vol.122 , pp. 191-217
    • Henderson, R.D.1    Karniadakis, G.E.2
  • 9
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • Hestenes M.R., and Stiefel E. Methods of conjugate gradients for solving linear systems. J. Res. Nat. Bur. Stds. B 49 (1952) 409-436
    • (1952) J. Res. Nat. Bur. Stds. B , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.2
  • 12
    • 0039943513 scopus 로고
    • LSQR: an algorithm for sparse linear equations and sparse least-squares
    • Paige C.C., and Saunders M.A. LSQR: an algorithm for sparse linear equations and sparse least-squares. ACM Trans. Math. Software 8 (1982) 43-71
    • (1982) ACM Trans. Math. Software , vol.8 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2
  • 13
    • 0141850310 scopus 로고    scopus 로고
    • Spectral/hp least-squares finite element formulation for the Navier-Stokes equations
    • Pontaza J.P., and Reddy J.N. Spectral/hp least-squares finite element formulation for the Navier-Stokes equations. J. Comput. Phys. 190 (2003) 523-549
    • (2003) J. Comput. Phys. , vol.190 , pp. 523-549
    • Pontaza, J.P.1    Reddy, J.N.2
  • 14
    • 33644589019 scopus 로고    scopus 로고
    • Least-squares finite element formulations for viscous incompressible and compressible fluid flows
    • Pontaza J.P., and Reddy J.N. Least-squares finite element formulations for viscous incompressible and compressible fluid flows. Comput. Methods Appl. Mech. Eng. 195 (2006) 2454-2494
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 2454-2494
    • Pontaza, J.P.1    Reddy, J.N.2
  • 15
    • 33748419683 scopus 로고    scopus 로고
    • A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling
    • Pontaza J.P. A least-squares finite element formulation for unsteady incompressible flows with improved velocity-pressure coupling. J. Comput. Phys. 217 (2006) 563-588
    • (2006) J. Comput. Phys. , vol.217 , pp. 563-588
    • Pontaza, J.P.1
  • 16
    • 0037144888 scopus 로고    scopus 로고
    • Least-squares spectral elements applied to the Stokes problem
    • Proot M.M.J., and Gerritsma M.I. Least-squares spectral elements applied to the Stokes problem. J. Comput. Phys. 181 (2002) 454-477
    • (2002) J. Comput. Phys. , vol.181 , pp. 454-477
    • Proot, M.M.J.1    Gerritsma, M.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.