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Volumn 13, Issue 3, 2000, Pages 259-277

Nonlinear Comparison of High-order and Optimized Finite-difference Schemes

Author keywords

Computational aeroacoustics; Dispersion relation preserving schemes; High order finite differences; Nonlinear wave propagation

Indexed keywords


EID: 0034371022     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/10618560008940902     Document Type: Article
Times cited : (11)

References (18)
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    • (1993) Applied Numerical Mathematics , vol.12 , pp. 55-87
    • Carpenter, M.H.1    Gottlieb, D.2    Abarbanel, S.3
  • 3
    • 84966234283 scopus 로고
    • Dissipative Two-Four Method for Time Dependent Problems
    • Gottlieb, D. and Turkel, E. (1976) Dissipative Two-Four Method for Time Dependent Problems, Mathematics of Computation, 30, 703-723.
    • (1976) Mathematics of Computation , vol.30 , pp. 703-723
    • Gottlieb, D.1    Turkel, E.2
  • 4
    • 0001660647 scopus 로고
    • Finite-Difference Schemes for Long-Time Integration
    • Haras, Z. and Ta'asan, S. (1994) Finite-Difference Schemes for Long-Time Integration, J. Comp. Physics, 114, 265-279.
    • (1994) J. Comp. Physics , vol.114 , pp. 265-279
    • Haras, Z.1    Ta'asan, S.2
  • 5
    • 33749725182 scopus 로고
    • Uniformly High Order Accuracy Essentially Non-oscillatory Schemes III
    • Harten, A., Enquist, A., Osher, S. and Chakravarthy, S. (1987) Uniformly High Order Accuracy Essentially Non-oscillatory Schemes III', J. Comp. Phys., 71, 231-323.
    • (1987) J. Comp. Phys. , vol.71 , pp. 231-323
    • Harten, A.1    Enquist, A.2    Osher, S.3    Chakravarthy, S.4
  • 6
    • 0032273587 scopus 로고    scopus 로고
    • Evaluation of a High-Accuracy MacCormack-Type Scheme Using Benchmark Problems
    • Hixon, R. (1998a) Evaluation of a High-Accuracy MacCormack-Type Scheme Using Benchmark Problems, J. Comp. Acoust., 6, 291-305.
    • (1998) J. Comp. Acoust. , vol.6 , pp. 291-305
    • Hixon, R.1
  • 9
    • 0344006664 scopus 로고    scopus 로고
    • Low-Dissipation and Dispersion Runge-Kutta Schemes for Computational Acoustics
    • Hu, F. Q., Hussaini, M. Y. and Manthey, J. (1996) Low-Dissipation and Dispersion Runge-Kutta Schemes for Computational Acoustics, J. Comp. Phys., 124, 121-133.
    • (1996) J. Comp. Phys. , vol.124 , pp. 121-133
    • Hu, F.Q.1    Hussaini, M.Y.2    Manthey, J.3
  • 10
    • 43949161862 scopus 로고
    • Several New Numerical Methods for Compressible Shear-Layer Simulations
    • Kennedy, C. A. and Carpenter, M. H. (1994) Several New Numerical Methods for Compressible Shear-Layer Simulations, Appl. Num. Math., 14, 397-433.
    • (1994) Appl. Num. Math. , vol.14 , pp. 397-433
    • Kennedy, C.A.1    Carpenter, M.H.2
  • 11
    • 9144220381 scopus 로고
    • Compact Finite Difference Schemes with Spectral-like Resolution
    • Lele, S. K. (1992) Compact Finite Difference Schemes with Spectral-like Resolution, J. Comp. Phys., 103, 16-42.
    • (1992) J. Comp. Phys. , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 13
    • 0039496334 scopus 로고    scopus 로고
    • 2N-Storage Low Dissipation and Dispersion Runge-Kutta Schemes for Computational Acoustics
    • Stanescu, D. and Habashi, W. G. (1998) 2N-Storage Low Dissipation and Dispersion Runge-Kutta Schemes for Computational Acoustics, J. Comp. Phys., 143, 674-681.
    • (1998) J. Comp. Phys. , vol.143 , pp. 674-681
    • Stanescu, D.1    Habashi, W.G.2
  • 14
    • 0008077577 scopus 로고
    • Direct Computation of Nonlinear Acoustic Pulses Using High Order Finite Difference Schemes
    • Long Beach, CA
    • Tam, C. K. W. and Shen, H. (1993a) Direct Computation of Nonlinear Acoustic Pulses Using High Order Finite Difference Schemes, AIAA Paper 93-4325, 15th AIAA Aeroacoustics Conference, Long Beach, CA.
    • (1993) AIAA Paper 93-4325, 15th AIAA Aeroacoustics Conference
    • Tam, C.K.W.1    Shen, H.2
  • 15
    • 19644369292 scopus 로고
    • Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics
    • Tam, C. K. W. and Webb, J. C. (1993b) Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics, J. Comp. Phys., 107, 262-281.
    • (1993) J. Comp. Phys. , vol.107 , pp. 262-281
    • Tam, C.K.W.1    Webb, J.C.2
  • 18
    • 84983097243 scopus 로고    scopus 로고
    • A Review of High-order and Optimized Finite-Difference Methods for Simulating Linear Wave Phenomena
    • Snowmass, Colorado
    • Zingg, D. Q., 'A Review of High-order and Optimized Finite-Difference Methods for Simulating Linear Wave Phenomena', AIAA Paper 97-2088, AIAA 13th Computational Fluid Dynamics Conference, Snowmass, Colorado.
    • AIAA Paper 97-2088, AIAA 13th Computational Fluid Dynamics Conference
    • Zingg, D.Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.