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Volumn 231, Issue 21, 2012, Pages 7335-7367

Sensitivity analysis and determination of free relaxation parameters for the weakly-compressible MRT-LBM schemes

Author keywords

BGK LBM; Computational aeroacoustics; Dispersion; Dissipation; Eigenvalue distribution; Group velocity; MRT LBM; Sensitivity; Von Neumann analysis

Indexed keywords

COMPUTATIONAL AEROACOUSTICS; COMPUTATIONAL FLUID DYNAMICS; DISPERSION (WAVES); EIGENVALUES AND EIGENFUNCTIONS; KINETIC PARAMETERS; KINETIC THEORY; LINEARIZATION; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS;

EID: 84865396820     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2012.07.005     Document Type: Article
Times cited : (34)

References (28)
  • 1
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., Doolen G. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 1998, 161:329-364.
    • (1998) Annu. Rev. Fluid Mech. , vol.161 , pp. 329-364
    • Chen, S.1    Doolen, G.2
  • 2
    • 82455210946 scopus 로고    scopus 로고
    • A lifting relation from macroscopic variables to mesoscopic variables in lattice Boltzmann method: derivation, numerical assessments and coupling computations validation
    • Xu H., Luan H.B., He Y.L., Tao W.Q. A lifting relation from macroscopic variables to mesoscopic variables in lattice Boltzmann method: derivation, numerical assessments and coupling computations validation. Comput. Fluids 2012, 54(30):92-104.
    • (2012) Comput. Fluids , vol.54 , Issue.30 , pp. 92-104
    • Xu, H.1    Luan, H.B.2    He, Y.L.3    Tao, W.Q.4
  • 3
    • 61349188259 scopus 로고    scopus 로고
    • Lattice Boltzmann model for three-dimensional decaying homogeneous isotropic turbulence
    • Xu H., Tao W.Q., Zhang Y. Lattice Boltzmann model for three-dimensional decaying homogeneous isotropic turbulence. Phys. Lett. A 2009, 373(15):1368-1373.
    • (2009) Phys. Lett. A , vol.373 , Issue.15 , pp. 1368-1373
    • Xu, H.1    Tao, W.Q.2    Zhang, Y.3
  • 5
    • 58149151198 scopus 로고    scopus 로고
    • Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics
    • Marié S., Ricot D., Sagaut P. Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics. J. Comput. Phys. 2009, 228:1056-1070.
    • (2009) J. Comput. Phys. , vol.228 , pp. 1056-1070
    • Marié, S.1    Ricot, D.2    Sagaut, P.3
  • 6
    • 67349199947 scopus 로고    scopus 로고
    • Lattice Boltzmann method with selective viscosity filter
    • Ricot D., Marié S., Sagaut P., Bailly C. Lattice Boltzmann method with selective viscosity filter. J. Comput. Phys. 2009, 228:4478-4490.
    • (2009) J. Comput. Phys. , vol.228 , pp. 4478-4490
    • Ricot, D.1    Marié, S.2    Sagaut, P.3    Bailly, C.4
  • 7
    • 0034595452 scopus 로고    scopus 로고
    • Lattice Boltzmann BGK simulation of non-linear sound waves: the development of a shock front
    • Buick J.M., Buckley C.L., Greated C.A., Gilbert J. Lattice Boltzmann BGK simulation of non-linear sound waves: the development of a shock front. J. Phys. A: Math. Gen. 2000, 33:3917-3928.
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 3917-3928
    • Buick, J.M.1    Buckley, C.L.2    Greated, C.A.3    Gilbert, J.4
  • 9
    • 0034206379 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability
    • Lallemand P., Luo L.S. Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys. Rev. E. 2000, 61(6):6546-6562.
    • (2000) Phys. Rev. E. , vol.61 , Issue.6 , pp. 6546-6562
    • Lallemand, P.1    Luo, L.S.2
  • 10
    • 79955373189 scopus 로고    scopus 로고
    • Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics
    • Xu H., Sagaut P. Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics. J. Comput. Phys 2011, 230(13):5353-5382.
    • (2011) J. Comput. Phys , vol.230 , Issue.13 , pp. 5353-5382
    • Xu, H.1    Sagaut, P.2
  • 14
    • 34548663545 scopus 로고    scopus 로고
    • Error dynamics: beyond von Neumann analysis
    • Sengupta T., Dipankar A., Sagaut P. Error dynamics: beyond von Neumann analysis. J. Comput. Phys. 2007, 226(2):1211-1218.
    • (2007) J. Comput. Phys. , vol.226 , Issue.2 , pp. 1211-1218
    • Sengupta, T.1    Dipankar, A.2    Sagaut, P.3
  • 16
    • 60949092668 scopus 로고    scopus 로고
    • Third order equivalent equation of lattice Boltzmann scheme
    • Dubois F. Third order equivalent equation of lattice Boltzmann scheme. Disc. Cont. Dynam. Syst. 2009, 23(1/2):221-248.
    • (2009) Disc. Cont. Dynam. Syst. , vol.23 , Issue.1-2 , pp. 221-248
    • Dubois, F.1
  • 19
    • 0032217343 scopus 로고    scopus 로고
    • Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
    • Andrew A.L., Tan R.C.E. Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. SIAM J. Matrix Anal. Appl. 1999, 20(1):78-100.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , Issue.1 , pp. 78-100
    • Andrew, A.L.1    Tan, R.C.E.2
  • 20
    • 34948836292 scopus 로고    scopus 로고
    • Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem
    • van der Aa N.P., ter Morsche H.G., Mattheij R.R.M. Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem. Electron. J. Linear Algeb. 2007, 16:300-314.
    • (2007) Electron. J. Linear Algeb. , vol.16 , pp. 300-314
    • van der Aa, N.P.1    ter Morsche, H.G.2    Mattheij, R.R.M.3
  • 21
    • 85190813455 scopus 로고    scopus 로고
    • User's Guide.
    • User's Guide. http://www.lbmethod.org/palabos/.
  • 22
    • 19644369292 scopus 로고
    • Dispersion-relation-preserving finite difference schemes for computational acoustics
    • Tam C.K.W., Webb J.C. Dispersion-relation-preserving finite difference schemes for computational acoustics. J. Comput. Phys. 1993, 107:262-281.
    • (1993) J. Comput. Phys. , vol.107 , pp. 262-281
    • Tam, C.K.W.1    Webb, J.C.2
  • 23
    • 14244272449 scopus 로고    scopus 로고
    • Three-dimensional non-reflective boundary conditions for acoustic simulations: far field formulation and validation test cases
    • Bogey C., Bailly C. Three-dimensional non-reflective boundary conditions for acoustic simulations: far field formulation and validation test cases. ACTA ACUSTICA united with ACOUSTICA 2002, 88:463-471.
    • (2002) ACTA ACUSTICA united with ACOUSTICA , vol.88 , pp. 463-471
    • Bogey, C.1    Bailly, C.2
  • 24
    • 4243690881 scopus 로고    scopus 로고
    • Second computational aeroacoustic (CAA) workshop on benchmark problems
    • No. NASA CP-3352
    • C.K.W. Tam, F.Q. Hu, Second computational aeroacoustic (CAA) workshop on benchmark problems, No. NASA CP-3352, 1997.
    • (1997)
    • Tam, C.K.W.1    Hu, F.Q.2
  • 25
    • 77951127874 scopus 로고    scopus 로고
    • Accuracy of the simultaneous-approximation term boundary condition for time dependent problems
    • Bodony D.J. Accuracy of the simultaneous-approximation term boundary condition for time dependent problems. J. Sci. Comput. 2010, 43:118-133.
    • (2010) J. Sci. Comput. , vol.43 , pp. 118-133
    • Bodony, D.J.1
  • 26
    • 19644399341 scopus 로고    scopus 로고
    • An optimized multi-dimensional interpolation scheme for computational aeroacoustics applications using overset grids
    • AIAA Paper
    • C.K.W. Tam, F.Q. Hu, An optimized multi-dimensional interpolation scheme for computational aeroacoustics applications using overset grids, in: Presented at the 10th AIAA/CEAS Aeroacoustics Conference, AIAA Paper, 2004, pp. 2004-2812.
    • (2004) Presented at the 10th AIAA/CEAS Aeroacoustics Conference , pp. 2004-2812
    • Tam, C.K.W.1    Hu, F.Q.2
  • 27
    • 0141515670 scopus 로고    scopus 로고
    • Optimized prefactored compact schemes
    • Ashcroft G., Zhang X. Optimized prefactored compact schemes. J. Comput. Phys. 2003, 190:459-477.
    • (2003) J. Comput. Phys. , vol.190 , pp. 459-477
    • Ashcroft, G.1    Zhang, X.2
  • 28
    • 0344006664 scopus 로고    scopus 로고
    • Low-dissipation and - dispersion Runge-Kutta schemes for computational acoustics
    • Hu F.Q., Hussaini M.Y., Manthey J. Low-dissipation and - dispersion Runge-Kutta schemes for computational acoustics. J. Comput. Phys. 1996, 124:177-191.
    • (1996) J. Comput. Phys. , vol.124 , pp. 177-191
    • Hu, F.Q.1    Hussaini, M.Y.2    Manthey, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.