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Volumn 15, Issue 1, 2007, Pages 123-143

Stabilized discontinuous Galerkin methods for flow-sound interaction

Author keywords

DG; High order methods; Musical acoustics; Slope limiting; Wave propagation

Indexed keywords


EID: 34547448782     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X0700324X     Document Type: Conference Paper
Times cited : (12)

References (41)
  • 5
    • 0000564951 scopus 로고
    • Total-variational-diminishing time discretizations
    • C-W. Shu, Total-variational-diminishing time discretizations, SIAM J. Sci. Stat. Comput. 9 (1988) 1073.
    • (1988) SIAM J. Sci. Stat. Comput , vol.9 , pp. 1073
    • Shu, C.-W.1
  • 6
    • 26944450512 scopus 로고    scopus 로고
    • High-order accurate implementation of solid wall boundary conditions in curved geometries, Courant Institute of Mathematical Sciences
    • L. Krivodonova and M. Berger, High-order accurate implementation of solid wall boundary conditions in curved geometries, Courant Institute of Mathematical Sciences, J. Comput. Phys. 211 (2006) 492-512.
    • (2006) J. Comput. Phys , vol.211 , pp. 492-512
    • Krivodonova, L.1    Berger, M.2
  • 7
    • 0002483755 scopus 로고
    • Time-dependent boundary conditions for hyperbolic systems, I & II
    • K. W. Thompson, Time-dependent boundary conditions for hyperbolic systems, I & II, J. Comput. Phys. 68 (1987) 1-24.
    • (1987) J. Comput. Phys , vol.68 , pp. 1-24
    • Thompson, K.W.1
  • 8
  • 9
    • 34547425514 scopus 로고    scopus 로고
    • Stabilized local non-reflecting boundary conditions for high order methods
    • Technical Report, NADA, Royal Institute of Technology
    • D. Appelö and G. Kreiss, Stabilized local non-reflecting boundary conditions for high order methods, Technical Report, NADA, Royal Institute of Technology (2003).
    • (2003)
    • Appelö, D.1    Kreiss, G.2
  • 10
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • J. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114 (1994) 185-200.
    • (1994) J. Comput. Phys , vol.114 , pp. 185-200
    • Berenger, J.1
  • 11
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, J. Math. Comput. 31 (1977) 629-651.
    • (1977) J. Math. Comput , vol.31 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 12
    • 0025544847 scopus 로고
    • Nonreflecting boundary conditions for euler equation calculations
    • M. Giles, Nonreflecting boundary conditions for euler equation calculations, AIAA J. 28 (1990) 2050-2058.
    • (1990) AIAA J , vol.28 , pp. 2050-2058
    • Giles, M.1
  • 13
    • 0033417375 scopus 로고    scopus 로고
    • Recent advances in the DtN FE method
    • D. Givoli, Recent advances in the DtN FE method, Arch. Comput. Meth. Eng. 6 (1999) 71-116.
    • (1999) Arch. Comput. Meth. Eng , vol.6 , pp. 71-116
    • Givoli, D.1
  • 14
    • 0032141095 scopus 로고    scopus 로고
    • A formulation of asymptotic and exact boundary conditions using local operators
    • T. Hagstrom and S. I. Hariharan, A formulation of asymptotic and exact boundary conditions using local operators, J. Appl. Numer. Math. 27 (1998) 403-416.
    • (1998) J. Appl. Numer. Math , vol.27 , pp. 403-416
    • Hagstrom, T.1    Hariharan, S.I.2
  • 15
    • 0031188291 scopus 로고    scopus 로고
    • A mathematical analysis of the pml method
    • S. Abarbanel and D. Gottlieb. A mathematical analysis of the pml method, J. Comput. Phys. 134 (1997) 357-363.
    • (1997) J. Comput. Phys , vol.134 , pp. 357-363
    • Abarbanel, S.1    Gottlieb, D.2
  • 16
    • 0000804987 scopus 로고    scopus 로고
    • Well posed perfectly matched layers for advective acoustics
    • S. Abarbanel, D. Gottlieb and J. S. Hesthaven, Well posed perfectly matched layers for advective acoustics, J. Comput. Phys. 154 (1999) 266-283.
    • (1999) J. Comput. Phys , vol.154 , pp. 266-283
    • Abarbanel, S.1    Gottlieb, D.2    Hesthaven, J.S.3
  • 17
    • 0346374852 scopus 로고    scopus 로고
    • New results on absorbing layers and radiation boundary conditions
    • eds. M. Ainsworth, P. Davies, D. Duncan, P. Martin and B. Rynne Springer, New York
    • T. Hagstrom, New results on absorbing layers and radiation boundary conditions, in Topics in Computational Wave Propagation, eds. M. Ainsworth, P. Davies, D. Duncan, P. Martin and B. Rynne (Springer, New York, 2003).
    • (2003) Topics in Computational Wave Propagation
    • Hagstrom, T.1
  • 18
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Galerkin finite element method for conservation laws V: Multidimensional systems
    • B. Cockburn, S.-Y. Lin and C.-W. Shu, The Runge-Kutta discontinuous Galerkin finite element method for conservation laws V: Multidimensional systems, J. Comput. Phys. 141 (1998) 199-224.
    • (1998) J. Comput. Phys , vol.141 , pp. 199-224
    • Cockburn, B.1    Lin, S.-Y.2    Shu, C.-W.3
  • 19
    • 0012578036 scopus 로고    scopus 로고
    • Far-field operators for suppression of reflections from artificial boundaries
    • S. Karni, Far-field operators for suppression of reflections from artificial boundaries, SIAM J. Numer. Anal. 33 (1996) 1014-1047.
    • (1996) SIAM J. Numer. Anal , vol.33 , pp. 1014-1047
    • Karni, S.1
  • 22
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • C.-W. Shu and S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, J. Comput. Phys. 77 (1988) 439-471.
    • (1988) J. Comput. Phys , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 23
    • 1042281121 scopus 로고    scopus 로고
    • Shock detection and limiting with discontinuous galerkin methods for hyperbolic conservation laws
    • L. Krivodonova, J. Xin, J.-F. Remade, N. Chevaugeon and J. E. Flaherty, Shock detection and limiting with discontinuous galerkin methods for hyperbolic conservation laws, Appl. Numer. Math. 48 (2004) 323-338.
    • (2004) Appl. Numer. Math , vol.48 , pp. 323-338
    • Krivodonova, L.1    Xin, J.2    Remade, J.-F.3    Chevaugeon, N.4    Flaherty, J.E.5
  • 24
    • 33646565327 scopus 로고    scopus 로고
    • A Comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters
    • J. Qiu and C-W. Shu, A Comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters, J. Sci. Comput. 27 (2005) 995-1013.
    • (2005) J. Sci. Comput , vol.27 , pp. 995-1013
    • Qiu, J.1    Shu, C.-W.2
  • 27
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
    • B. Cockburn, S.-Y. Lin and C-W. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework, Math. Comput. 52 (1989) 411-435.
    • (1989) Math. Comput , vol.52 , pp. 411-435
    • Cockburn, B.1    Lin, S.-Y.2    Shu, C.-W.3
  • 28
    • 0028407037 scopus 로고
    • Parallel, adaptive finite element methods for conservation laws
    • R. Biswas, K. Devine and J. E. Flaherty, Parallel, adaptive finite element methods for conservation laws, Appl. Numer. Math. 14 (1994) 255-283.
    • (1994) Appl. Numer. Math , vol.14 , pp. 255-283
    • Biswas, R.1    Devine, K.2    Flaherty, J.E.3
  • 29
    • 0030123789 scopus 로고    scopus 로고
    • Parallel adaptive hp-refinement techniques for conservation laws
    • K. D. Devine and J. E. Flaherty, Parallel adaptive hp-refinement techniques for conservation laws, Appl. Numer. Math. 20 (1996) 367-386.
    • (1996) Appl. Numer. Math , vol.20 , pp. 367-386
    • Devine, K.D.1    Flaherty, J.E.2
  • 33
    • 85015796211 scopus 로고    scopus 로고
    • A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications
    • S. Tu and S. Aliabadi, A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications, J. Numer. Anal. Model. 2 (2005) 163-178.
    • (2005) J. Numer. Anal. Model , vol.2 , pp. 163-178
    • Tu, S.1    Aliabadi, S.2
  • 34
    • 10644264359 scopus 로고    scopus 로고
    • New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes
    • H. Hoteit, Ph. Ackerer, R. Mose, J. Erhel and B. Philippe, New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes, Int. J. Numer. Meth. Eng. 61 (2004) 2566-2593.
    • (2004) Int. J. Numer. Meth. Eng , vol.61 , pp. 2566-2593
    • Hoteit, H.1    Ackerer, P.2    Mose, R.3    Erhel, J.4    Philippe, B.5
  • 35
    • 0001314736 scopus 로고    scopus 로고
    • A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
    • A. Burbeau, P. Sagaut and Ch.-H. Bruneau, A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods, J. Comput. Phys. 169 (2001) 111-150.
    • (2001) J. Comput. Phys , vol.169 , pp. 111-150
    • Burbeau, A.1    Sagaut, P.2    Bruneau, C.-H.3
  • 36
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • P. Woodward and P. Colella, The numerical simulation of two-dimensional fluid flow with strong shocks, J. Comput. Phys. 54 (1984) 115-173.
    • (1984) J. Comput. Phys , vol.54 , pp. 115-173
    • Woodward, P.1    Colella, P.2
  • 37
    • 85086615366 scopus 로고    scopus 로고
    • A discrete analysis of non-reflecting boundary conditions for discontinuous Galerkin method
    • F. Q. Hu and H. L. Atkins, A discrete analysis of non-reflecting boundary conditions for discontinuous Galerkin method, AIAA Paper (2003) 3301.
    • (2003) AIAA Paper , pp. 3301
    • Hu, F.Q.1    Atkins, H.L.2
  • 38
    • 19644369292 scopus 로고
    • Dispersion-relation-preserving finite difference schemes for computational acoustics
    • C. K. W. Tam and J. C. Webb, Dispersion-relation-preserving finite difference schemes for computational acoustics, J. Comput. Phys. 107 (1993) 262-281.
    • (1993) J. Comput. Phys , vol.107 , pp. 262-281
    • Tam, C.K.W.1    Webb, J.C.2
  • 39
    • 0029916501 scopus 로고    scopus 로고
    • Wind-instrument reection function measurements in the time domain
    • D. Keefe, Wind-instrument reection function measurements in the time domain, J. Acoust. Soc. Am. 96 (1999) 2370-2381.
    • (1999) J. Acoust. Soc. Am , vol.96 , pp. 2370-2381
    • Keefe, D.1
  • 40
    • 84888407702 scopus 로고
    • Experiments on the single woodwind tone hole
    • D. Keefe, Experiments on the single woodwind tone hole, J. Acoust. Soc. Am. 72 (1982) 688-699.
    • (1982) J. Acoust. Soc. Am , vol.72 , pp. 688-699
    • Keefe, D.1
  • 41


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.