메뉴 건너뛰기




Volumn 227, Issue 3, 2008, Pages 1676-1700

Reduced aliasing formulations of the convective terms within the Navier-Stokes equations for a compressible fluid

Author keywords

Aliasing; Compressible flows; Convective operators; Navier Stokes equations; Skew symmetric form

Indexed keywords

COST BENEFIT ANALYSIS; FOURIER ANALYSIS; NONLINEAR EQUATIONS; VISCOUS FLOW;

EID: 37249005231     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.09.020     Document Type: Article
Times cited : (253)

References (29)
  • 1
    • 85190785864 scopus 로고    scopus 로고
    • G.A. Blaisdell, N.N. Mansour, W.C. Reynolds, Numerical simulations of homogeneous compressible turbulence, Report TF-50, Thermoscience Divison, Department of Mechanical Engineering, Stanford University, Stanford, 1991.
  • 2
    • 0030196091 scopus 로고    scopus 로고
    • The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
    • Blaisdell G.A., Spyropoulos E.T., and Qin J.H. The effect of the formulation of nonlinear terms on aliasing errors in spectral methods. Appl. Numer. Math. 21 3 (1996) 207-219
    • (1996) Appl. Numer. Math. , vol.21 , Issue.3 , pp. 207-219
    • Blaisdell, G.A.1    Spyropoulos, E.T.2    Qin, J.H.3
  • 5
    • 0037455602 scopus 로고    scopus 로고
    • A further study of numerical errors in large-eddy simulations
    • Chow F.K., and Moin P. A further study of numerical errors in large-eddy simulations. J. Comput. Phys. 184 2 (2003) 366-380
    • (2003) J. Comput. Phys. , vol.184 , Issue.2 , pp. 366-380
    • Chow, F.K.1    Moin, P.2
  • 6
    • 0001395296 scopus 로고    scopus 로고
    • High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows
    • Ducros F., Laporte F., Soulères T., Guinot V., Moinat P., and Caruelle B. High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows. J. Comput. Phys. 161 1 (2000) 114-139
    • (2000) J. Comput. Phys. , vol.161 , Issue.1 , pp. 114-139
    • Ducros, F.1    Laporte, F.2    Soulères, T.3    Guinot, V.4    Moinat, P.5    Caruelle, B.6
  • 7
    • 0001803070 scopus 로고
    • Direct numerical simulation and large eddy simulation of compressible turbulence
    • Galperin B., and Orszag S.A. (Eds), Cambridge University Press
    • Erlebacher G., and Hussaini M.Y. Direct numerical simulation and large eddy simulation of compressible turbulence. In: Galperin B., and Orszag S.A. (Eds). Large Eddy Simulation of Complex Engineering and Geophysical Flows (1993), Cambridge University Press 231-254
    • (1993) Large Eddy Simulation of Complex Engineering and Geophysical Flows , pp. 231-254
    • Erlebacher, G.1    Hussaini, M.Y.2
  • 8
    • 0035842850 scopus 로고    scopus 로고
    • Revisiting numerical errors in direct and large eddy simulations of turbulence: physical and spectral spaces analysis
    • Fedioun I., Lardjane N., and Gökalp I. Revisiting numerical errors in direct and large eddy simulations of turbulence: physical and spectral spaces analysis. J. Comput. Phys. 174 2 (2001) 816-851
    • (2001) J. Comput. Phys. , vol.174 , Issue.2 , pp. 816-851
    • Fedioun, I.1    Lardjane, N.2    Gökalp, I.3
  • 9
    • 85190785900 scopus 로고    scopus 로고
    • W.J. Feiereisen, W.C. Reynolds, J.H. Ferziger, Numerical simulation of a compressible homogeneous, turbulent shear flow, Report TF-13, Thermoscience Division, Department of Mechanical Engineering, Stanford University, Stanford, 1981.
  • 11
    • 0016555995 scopus 로고
    • On a Fourier method for the integration of hyperbolic equations
    • Fornberg B. On a Fourier method for the integration of hyperbolic equations. SIAM J. Numer. Anal. 12 4 (1975) 509-528
    • (1975) SIAM J. Numer. Anal. , vol.12 , Issue.4 , pp. 509-528
    • Fornberg, B.1
  • 12
    • 8744273826 scopus 로고    scopus 로고
    • Higher entropy conservation and numerical stability of compressible turbulence simulations
    • Honein A.E., and Moin P. Higher entropy conservation and numerical stability of compressible turbulence simulations. J. Comput. Phys. 201 2 (2004) 531-545
    • (2004) J. Comput. Phys. , vol.201 , Issue.2 , pp. 531-545
    • Honein, A.E.1    Moin, P.2
  • 13
    • 0001103363 scopus 로고    scopus 로고
    • Truncation error analysis of the rotational form for the convective terms in the Navier-Stokes equations
    • Horiuti K., and Itami T. Truncation error analysis of the rotational form for the convective terms in the Navier-Stokes equations. J. Comput. Phys. 145 2 (1998) 671-692
    • (1998) J. Comput. Phys. , vol.145 , Issue.2 , pp. 671-692
    • Horiuti, K.1    Itami, T.2
  • 14
    • 85190780321 scopus 로고    scopus 로고
    • R.J. Kee, G. Dixon-Lewis, J. Warnatz, M.E. Coltrin, J.A. Miller, H.K. Moffat, A Fortran Chemical Kinetics Package for the Analysis of Gas-Phase Chemical Kinetics, Reaction Design Inc., Release 3.5, San Diego, 1999.
  • 15
    • 43949161862 scopus 로고
    • Several new numerical methods for compressible shear-layer simulations
    • Kennedy C.A., and Carpenter M.H. Several new numerical methods for compressible shear-layer simulations. Appl. Numer. Math. 14 4 (1994) 397-433
    • (1994) Appl. Numer. Math. , vol.14 , Issue.4 , pp. 397-433
    • Kennedy, C.A.1    Carpenter, M.H.2
  • 16
    • 0034316651 scopus 로고    scopus 로고
    • Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
    • Kennedy C.A., Carpenter M.H., and Lewis R.M. Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Appl. Numer. Math. 35 3 (2000) 177-219
    • (2000) Appl. Numer. Math. , vol.35 , Issue.3 , pp. 177-219
    • Kennedy, C.A.1    Carpenter, M.H.2    Lewis, R.M.3
  • 17
    • 0037216570 scopus 로고    scopus 로고
    • Additive Runge-Kutta schemes for convection-diffusion-reaction equations
    • Kennedy C.A., and Carpenter M.H. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Appl. Numer. Math. 44 1-2 (2003) 139-181
    • (2003) Appl. Numer. Math. , vol.44 , Issue.1-2 , pp. 139-181
    • Kennedy, C.A.1    Carpenter, M.H.2
  • 18
    • 0039646846 scopus 로고    scopus 로고
    • On the effect of numerical errors in large eddy simulations of turbulent flows
    • Kravchenko A.G., and Moin P. On the effect of numerical errors in large eddy simulations of turbulent flows. J. Comput. Phys. 131 2 (1997) 310-322
    • (1997) J. Comput. Phys. , vol.131 , Issue.2 , pp. 310-322
    • Kravchenko, A.G.1    Moin, P.2
  • 19
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral like resolution
    • Lele S.K. Compact finite difference schemes with spectral like resolution. J. Comput. Phys. 103 1 (1992) 16-42
    • (1992) J. Comput. Phys. , vol.103 , Issue.1 , pp. 16-42
    • Lele, S.K.1
  • 20
    • 4644324812 scopus 로고    scopus 로고
    • An updated comprehensive kinetic model of hydrogen combustion
    • Li J., Zhao Z., Kazakov A., and Dryer F.L. An updated comprehensive kinetic model of hydrogen combustion. Int. J. Chem. Kin. 36 10 (2004) 566-575
    • (2004) Int. J. Chem. Kin. , vol.36 , Issue.10 , pp. 566-575
    • Li, J.1    Zhao, Z.2    Kazakov, A.3    Dryer, F.L.4
  • 21
    • 0011836476 scopus 로고    scopus 로고
    • Stable finite-element calculation of incompressible flows using the rotation form of convection
    • Lube G., and Olshanskii M.A. Stable finite-element calculation of incompressible flows using the rotation form of convection. IMA J. Numer. Anal. 22 3 (2002) 437-461
    • (2002) IMA J. Numer. Anal. , vol.22 , Issue.3 , pp. 437-461
    • Lube, G.1    Olshanskii, M.A.2
  • 22
    • 0037408932 scopus 로고    scopus 로고
    • A DNS algorithm using B-spline collocation method for compressible turbulent channel flow
    • Morinishi Y., Tamano S., and Nakabayashi K. A DNS algorithm using B-spline collocation method for compressible turbulent channel flow. Comp. Fluids 32 5 (2003) 751-776
    • (2003) Comp. Fluids , vol.32 , Issue.5 , pp. 751-776
    • Morinishi, Y.1    Tamano, S.2    Nakabayashi, K.3
  • 23
    • 37249066924 scopus 로고    scopus 로고
    • Using high-order methods on adaptively refined block-structured meshes: derivatives, interpolations, and filters
    • Ray J., Kennedy C.A., Lefantzi S., and Najm H.N. Using high-order methods on adaptively refined block-structured meshes: derivatives, interpolations, and filters. SIAM J. Sci. Comput. 29 1 (2007) 139-181
    • (2007) SIAM J. Sci. Comput. , vol.29 , Issue.1 , pp. 139-181
    • Ray, J.1    Kennedy, C.A.2    Lefantzi, S.3    Najm, H.N.4
  • 24
    • 33846808954 scopus 로고    scopus 로고
    • Analysis of numerical errors in large eddy simulation using statistical closure theory
    • Park N., and Mahesh K. Analysis of numerical errors in large eddy simulation using statistical closure theory. J. Comput. Phys. 222 1 (2007) 194-216
    • (2007) J. Comput. Phys. , vol.222 , Issue.1 , pp. 194-216
    • Park, N.1    Mahesh, K.2
  • 25
    • 0023467733 scopus 로고
    • Numerical simulation of compressible homogeneous flows in the turbulent regime
    • Passot T., and Pouquet A. Numerical simulation of compressible homogeneous flows in the turbulent regime. J. Fluid Mech. 181 (1987) 441-466
    • (1987) J. Fluid Mech. , vol.181 , pp. 441-466
    • Passot, T.1    Pouquet, A.2
  • 26
    • 0003499697 scopus 로고
    • Kinematics of Vorticity
    • Indiana University Press, Bloomington
    • Truesdell C.A. Kinematics of Vorticity. Science Series 19 (1954), Indiana University Press, Bloomington
    • (1954) Science Series , vol.19
    • Truesdell, C.A.1
  • 27
    • 0037407582 scopus 로고    scopus 로고
    • Symmetry-preserving discretization of turbulent flow
    • Verstappen R.W.C.P., and Veldman A.E.P. Symmetry-preserving discretization of turbulent flow. J. Comput. Phys. 187 1 (2003) 343-368
    • (2003) J. Comput. Phys. , vol.187 , Issue.1 , pp. 343-368
    • Verstappen, R.W.C.P.1    Veldman, A.E.P.2
  • 28
    • 0035923846 scopus 로고    scopus 로고
    • N-2 spectral element discretizations of the Navier-Stokes equations
    • N-2 spectral element discretizations of the Navier-Stokes equations. J. Comput. Phys. 174 1 (2001) 306-326
    • (2001) J. Comput. Phys. , vol.174 , Issue.1 , pp. 306-326
    • Wilhelm, D.1    Kleiser, L.2
  • 29
    • 0025842042 scopus 로고
    • On the rotation and skew-symmetric forms for incompressible flow simulations
    • Zang T.A. On the rotation and skew-symmetric forms for incompressible flow simulations. Appl. Numer. Math. 7 1 (1991) 27-40
    • (1991) Appl. Numer. Math. , vol.7 , Issue.1 , pp. 27-40
    • Zang, T.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.