메뉴 건너뛰기




Volumn 38, Issue 9, 2000, Pages 1594-1602

Implicit high-order-accurate-in-space algorithms for the Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; SHOCK WAVES; SUBSONIC FLOW; SUPERSONIC FLOW; VISCOUS FLOW;

EID: 0034274494     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1142     Document Type: Article
Times cited : (17)

References (28)
  • 1
    • 0000665727 scopus 로고
    • Compact high-order schemes for the Euler equations
    • Abarbanel, S., and Kumar, A., "Compact High-Order Schemes for the Euler Equations," Journal of Scientific Computing, Vol. 3, No. 3, 1988, pp. 275-288.
    • (1988) Journal of Scientific Computing , vol.3 , Issue.3 , pp. 275-288
    • Abarbanel, S.1    Kumar, A.2
  • 2
    • 0030215536 scopus 로고    scopus 로고
    • A high-resolution hybrid compact-ENO scheme for shock turbulence interaction problems
    • Adams, N. A., and Shariff, K., "A High-Resolution Hybrid Compact-ENO Scheme for Shock Turbulence Interaction Problems," Journal of Computational Physics, Vol. 127, No. 1, 1996, pp. 27-51.
    • (1996) Journal of Computational Physics , vol.127 , Issue.1 , pp. 27-51
    • Adams, N.A.1    Shariff, K.2
  • 3
    • 0001228989 scopus 로고    scopus 로고
    • Explicit and implicit multidimensional compact high-resolution shock-capturing methods: Formulation
    • Yee, H., "Explicit and Implicit Multidimensional Compact High-Resolution Shock-Capturing Methods: Formulation," Journal of Computational Physics, Vol. 131, No. 1, 1997, pp. 216-232.
    • (1997) Journal of Computational Physics , vol.131 , Issue.1 , pp. 216-232
    • Yee, H.1
  • 4
    • 0032595422 scopus 로고    scopus 로고
    • High-order-accurate methods for unsteady vortical flows on curvilinear meshes
    • Visbal, M. R., and Gaitonde, D. V., "High-Order-Accurate Methods for Unsteady Vortical Flows on Curvilinear Meshes," AIM Journal, Vol. 37, No. 10, 1999, pp. 1231-1239.
    • (1999) AIM Journal , vol.37 , Issue.10 , pp. 1231-1239
    • Visbal, M.R.1    Gaitonde, D.V.2
  • 5
    • 0000919507 scopus 로고    scopus 로고
    • High-order finite difference schemes for numerical simulation of hypersonic boundary-layer transition
    • Zhong, X., "High-Order Finite Difference Schemes for Numerical Simulation of Hypersonic Boundary-Layer Transition," Journal of Computational Physics, Vol. 144, No. 2, 1998, pp. 662-709.
    • (1998) Journal of Computational Physics , vol.144 , Issue.2 , pp. 662-709
    • Zhong, X.1
  • 6
    • 0004702118 scopus 로고    scopus 로고
    • Implicit high-order methods for gasdynamics and aeroacoustics
    • Ekaterinaris, J. A., "Implicit High-Order Methods for Gasdynamics and Aeroacoustics," Journal of Computational Physics, Vol. 156, No. 2, 1999, pp. 272-299.
    • (1999) Journal of Computational Physics , vol.156 , Issue.2 , pp. 272-299
    • Ekaterinaris, J.A.1
  • 7
    • 0000465701 scopus 로고
    • An easily implemented fourth-order method for the time integration of wave problems
    • de Froutos, J., and Sanz-Serna, J. M., "An Easily Implemented Fourth-Order Method for the Time Integration of Wave Problems," Journal of Computational Physics, Vol. 103, No. 1, 1992, pp. 160-168.
    • (1992) Journal of Computational Physics , vol.103 , Issue.1 , pp. 160-168
    • De Froutos, J.1    Sanz-Serna, J.M.2
  • 8
    • 28144458189 scopus 로고
    • Direct numerical simulation of transition and turbulence in a spatially evolving boundary layer
    • Rai, M. M., and Moin, P., "Direct Numerical Simulation of Transition and Turbulence in a Spatially Evolving Boundary Layer," Journal of Computational Physics, Vol. 109, No. 2, 1993, pp. 169-192.
    • (1993) Journal of Computational Physics , vol.109 , Issue.2 , pp. 169-192
    • Rai, M.M.1    Moin, P.2
  • 11
    • 0000841777 scopus 로고    scopus 로고
    • Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
    • Mavriplis, D. J., "Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes," Journal Computational Physics, Vol. 145, No. 1, 1998, pp. 141-165.
    • (1998) Journal Computational Physics , vol.145 , Issue.1 , pp. 141-165
    • Mavriplis, D.J.1
  • 12
    • 0030240515 scopus 로고    scopus 로고
    • Implicit method for the computation of unsteady flows on unstructured grids
    • Venkatakrishnan, V., and Mavriplis, D. J., "Implicit Method for the Computation of Unsteady Flows on Unstructured Grids," Journal of Computational Physics, Vol. 127, No. 2, 1996, pp. 380-397.
    • (1996) Journal of Computational Physics , vol.127 , Issue.2 , pp. 380-397
    • Venkatakrishnan, V.1    Mavriplis, D.J.2
  • 13
    • 0028993097 scopus 로고
    • Comparison of implicit schemes for the incompressible Navier-Stokes equations
    • Rogers, S. E., "Comparison of Implicit Schemes for the Incompressible Navier-Stokes Equations," AIAA Journal, Vol. 33, No. 11, 1995, pp. 2066-2072.
    • (1995) AIAA Journal , vol.33 , Issue.11 , pp. 2066-2072
    • Rogers, S.E.1
  • 14
    • 49549134229 scopus 로고
    • An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
    • Beam, R. M., and Warming, R. F., "An Implicit Finite-Difference Algorithm for Hyperbolic Systems in Conservation-Law Form," Journal of Computational Physics, Vol. 22, No. 1, 1976, pp. 87-110.
    • (1976) Journal of Computational Physics , vol.22 , Issue.1 , pp. 87-110
    • Beam, R.M.1    Warming, R.F.2
  • 15
    • 0022882108 scopus 로고
    • Artificial dissipation models for the Euler equations
    • Pulliam, T. H., "Artificial Dissipation Models for the Euler Equations," AIAA Journal, Vol. 24, No. 12, 1986, pp. 1931-1940.
    • (1986) AIAA Journal , vol.24 , Issue.12 , pp. 1931-1940
    • Pulliam, T.H.1
  • 16
    • 0028671373 scopus 로고
    • Computation of oscillating airfoil flows with one- and two-equation turbulence models
    • Ekaterinaris, J. A., and Menter, F. R., "Computation of Oscillating Airfoil Flows with One- and Two-Equation Turbulence Models," AIAA Journal, Vol. 32, No. 12, 1994, pp. 2359-2365.
    • (1994) AIAA Journal , vol.32 , Issue.12 , pp. 2359-2365
    • Ekaterinaris, J.A.1    Menter, F.R.2
  • 17
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • Lele, S. K., "Compact Finite Difference Schemes with Spectral-Like Resolution," Journal of Computational Physics, Vol. 103, No. 1, 1992, pp. 16-42.
    • (1992) Journal of Computational Physics , vol.103 , Issue.1 , pp. 16-42
    • Lele, S.K.1
  • 18
    • 0001439584 scopus 로고
    • The stability of numerical boundary treatments of compact high-order finite-difference schemes
    • Carpenter, M. H., Gottlieb, D., and Abarbanel, S., "The Stability of Numerical Boundary Treatments of Compact High-Order Finite-Difference Schemes," Journal of Computational Physics, Vol. 108, No. 2, 1993, pp. 272-295.
    • (1993) Journal of Computational Physics , vol.108 , Issue.2 , pp. 272-295
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3
  • 19
    • 33845433151 scopus 로고
    • A diagonal form of an implicit approximate-factorization algorithm
    • Pulliam, T. H., and Chaussee, D. S., "A Diagonal Form of an Implicit Approximate-Factorization Algorithm," Journal of Computational Physics, Vol. 39, No. 2, 1981, pp. 347-363.
    • (1981) Journal of Computational Physics , vol.39 , Issue.2 , pp. 347-363
    • Pulliam, T.H.1    Chaussee, D.S.2
  • 20
    • 49049151571 scopus 로고
    • Flux vector splitting of the inviscid gas dynamic equations with applications to finite-difference methods
    • Steger, J. L., and Warming, R. F., "Flux Vector Splitting of the Inviscid Gas Dynamic Equations with Applications to Finite-Difference Methods," Journal of Computational Physics, Vol. 40, No. 2, 1981, pp. 263-293.
    • (1981) Journal of Computational Physics , vol.40 , Issue.2 , pp. 263-293
    • Steger, J.L.1    Warming, R.F.2
  • 21
    • 0001849695 scopus 로고
    • Time-accurate unsteady incompressible flow algorithm based on artificial compressibility
    • June
    • Merkle, C. L., and Athavale, M., "Time-Accurate Unsteady Incompressible Flow Algorithm Based on Artificial Compressibility," AIAA Paper 87-1137, June 1987.
    • (1987) AIAA Paper 87-1137
    • Merkle, C.L.1    Athavale, M.2
  • 22
    • 0003243537 scopus 로고
    • Fourier analysis of numerical approximations of hyperbolic equations
    • Vichenevetsky, R., and Bowles, J. B., "Fourier Analysis of Numerical Approximations of Hyperbolic Equations," SIAM Series in Applied Mathematics, 1982, pp. 19-34.
    • (1982) SIAM Series in Applied Mathematics , pp. 19-34
    • Vichenevetsky, R.1    Bowles, J.B.2
  • 23
    • 0034274494 scopus 로고    scopus 로고
    • Implicit high-order accurate in space algorithms for the Navier-Stokes equations
    • June
    • Ekaterinaris, J. A., "Implicit High-Order Accurate in Space Algorithms for the Navier-Stokes Equations," AIAA Paper 99-3257, June 1999.
    • (1999) AIAA Paper 99-3257
    • Ekaterinaris, J.A.1
  • 25
    • 0000009391 scopus 로고
    • Boundary conditions for direct simulations of compressible viscous flows
    • Poinsot, T. J., and Lele, S. K., "Boundary Conditions for Direct Simulations of Compressible Viscous Flows," Journal of Computational Physics Vol. 101, No. 1, 1992, pp. 104-116.
    • (1992) Journal of Computational Physics , vol.101 , Issue.1 , pp. 104-116
    • Poinsot, T.J.1    Lele, S.K.2
  • 27
    • 0000104174 scopus 로고
    • Thin-layer approximation and algebraic model for separated turbulent flow
    • Jan.
    • Baldwin, B. S., and Lomax, H., "Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flow," AIAA Paper 78-0257, Jan. 1978.
    • (1978) AIAA Paper 78-0257
    • Baldwin, B.S.1    Lomax, H.2
  • 28
    • 0001430783 scopus 로고    scopus 로고
    • A family of high order finite difference schemes with good spectral resolution
    • Mahesh, K., "A Family of High Order Finite Difference Schemes with Good Spectral Resolution," Journal of Computational Physics, Vol. 145, No. 1, 1998, pp. 332-358.
    • (1998) Journal of Computational Physics , vol.145 , Issue.1 , pp. 332-358
    • Mahesh, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.