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Volumn 229, Issue 10, 2010, Pages 3623-3651

Optimal time advancing dispersion relation preserving schemes

Author keywords

DRP property; Error propagation; Explicit Runge Kutta (RK) schemes; Lid driven cavity (LDC) problem; Navier Stokes equations; Optimized Runge Kutta (ORK) schemes

Indexed keywords

CONSTRAINED OPTIMIZATION; ERROR ANALYSIS; PROBLEM SOLVING; RUNGE KUTTA METHODS; VISCOUS FLOW;

EID: 77958454316     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.01.018     Document Type: Article
Times cited : (46)

References (33)
  • 1
    • 64049087583 scopus 로고    scopus 로고
    • A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena
    • M. Bernardini, S. Pirozzoli, A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena, J. Comput. Phys. 228 (2009) 4182-4199.
    • (2009) J. Comput. Phys. , vol.228 , pp. 4182-4199
    • Bernardini, M.1    Pirozzoli, S.2
  • 2
    • 0842333835 scopus 로고    scopus 로고
    • A family of low dispersive and low dissipative explicit schemes for flow and noise computations
    • C. Bogey, C. Bailly, A family of low dispersive and low dissipative explicit schemes for flow and noise computations, J. Comput. Phys. 194 (2004) 194-214.
    • (2004) J. Comput. Phys. , vol.194 , pp. 194-214
    • Bogey, C.1    Bailly, C.2
  • 3
    • 0032078546 scopus 로고    scopus 로고
    • Benchmark spectral results on the lid-driven cavity flow
    • O. Botella, R. Peyret, Benchmark spectral results on the lid-driven cavity flow, Comput. Fluids 27 (4) (1998) 421-433.
    • (1998) Comput. Fluids , vol.27 , Issue.4 , pp. 421-433
    • Botella, O.1    Peyret, R.2
  • 4
    • 28444438848 scopus 로고    scopus 로고
    • The 2D lid-driven cavity problem revisited
    • C.-H. Bruneau, M. Saad, The 2D lid-driven cavity problem revisited, Comput. Fluids 35 (2006) 326-348.
    • (2006) Comput. Fluids , vol.35 , pp. 326-348
    • Bruneau, C.-H.1    Saad, M.2
  • 6
    • 13844262845 scopus 로고    scopus 로고
    • A new minimum storage Runge-Kutta scheme for computational acoustics
    • M. Calvo, J.M. Franco, L. Randez, A new minimum storage Runge-Kutta scheme for computational acoustics, J. Comput. Phys. 201 (2004) 1-12.
    • (2004) J. Comput. Phys. , vol.201 , pp. 1-12
    • Calvo, M.1    Franco, J.M.2    Randez, L.3
  • 7
    • 0001694858 scopus 로고
    • Numerical integration of the barotropic vorticity equation
    • J.G. Charney, R. Fjortoft, J. von Neumann, Numerical integration of the barotropic vorticity equation, Tellus 2 (1950) 237-254.
    • (1950) Tellus , vol.2 , pp. 237-254
    • Charney, J.G.1    Fjortoft, R.2    von Neumann, J.3
  • 8
    • 84953600891 scopus 로고
    • A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type
    • J. Crank, P. Nicholson, A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type, Proc. Camb. Philol. Soc. 43 (1947) 50-67.
    • (1947) Proc. Camb. Philol. Soc. , vol.43 , pp. 50-67
    • Crank, J.1    Nicholson, P.2
  • 9
    • 33645880096 scopus 로고    scopus 로고
    • Symmetrized compact scheme for receptivity study of 2D transitional channel flow
    • A. Dipankar, T.K. Sengupta, Symmetrized compact scheme for receptivity study of 2D transitional channel flow, J. Comput. Phys. 215 (1) (2006) 245- 253.
    • (2006) J. Comput. Phys. , vol.215 , Issue.1 , pp. 245-253
    • Dipankar, A.1    Sengupta, T.K.2
  • 10
    • 49049143188 scopus 로고
    • High-Re solution for incompressible flow using the Navier-Stokes equations and a multigrid method
    • U. Ghia, K.N. Ghia, C.T. Shin, High-Re solution for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys.48 (1) (1982) 387-411.
    • (1982) J. Comput. Phys. , vol.48 , Issue.1 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 11
    • 0001660647 scopus 로고
    • Finite difference scheme for long time integration
    • Z. Haras, S. Ta'asan, Finite difference scheme for long time integration, J. Comput. Phys. 114 (1994) 265-279.
    • (1994) J. Comput. Phys. , vol.114 , pp. 265-279
    • Haras, Z.1    Ta'asan, S.2
  • 12
    • 0344006664 scopus 로고    scopus 로고
    • Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
    • F.Q. Hu, M.Y. Hussani, J.L. Manthey, Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics, J. Comput. Phys. 124 (1996) 177-191.
    • (1996) J. Comput. Phys. , vol.124 , pp. 177-191
    • Hu, F.Q.1    Hussani, M.Y.2    Manthey, J.L.3
  • 13
    • 85190076763 scopus 로고    scopus 로고
    • Numerical Methods for Scientific and Engineering Computation, New Age International Publishers
    • M.K. Jain, S.R.K. Iyengar, R.K. Jain, Numerical Methods for Scientific and Engineering Computation, New Age International Publishers, New Delhi, 2007.
    • (2007) New Delhi
    • Jain, M.K.1    Iyengar, S.R.K.2    Jain, R.K.3
  • 14
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • S.K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys. 103 (1992) 16-42.
    • (1992) J. Comput. Phys. , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 15
    • 33847074981 scopus 로고    scopus 로고
    • Performance analysis and optimization of finite-difference schemes for wave propagation problems
    • S. Pirozzoli, Performance analysis and optimization of finite-difference schemes for wave propagation problems, J. Comput. Phys. 222 (2007) 809-831.
    • (2007) J. Comput. Phys. , vol.222 , pp. 809-831
    • Pirozzoli, S.1
  • 17
    • 32644443377 scopus 로고    scopus 로고
    • Optimization of time integration schemes coupled with spatial discretization for use in CAA applications
    • J. Ramboer, T. Broeckhoven, S. Smirnov, C. Lacor, Optimization of time integration schemes coupled with spatial discretization for use in CAA applications, J. Comput. Phys. 213 (2006) 777-802.
    • (2006) J. Comput. Phys. , vol.213 , pp. 777-802
    • Ramboer, J.1    Broeckhoven, T.2    Smirnov, S.3    Lacor, C.4
  • 18
    • 0344154569 scopus 로고    scopus 로고
    • Analysis of central and upwind schemes
    • T.K. Sengupta, G. Ganeriwal, S. De, Analysis of central and upwind schemes, J. Comput. Phys. 192 (2) (2003) 677-694.
    • (2003) J. Comput. Phys. , vol.192 , Issue.2 , pp. 677-694
    • Sengupta, T.K.1    Ganeriwal, G.2    De, S.3
  • 20
    • 3042753362 scopus 로고    scopus 로고
    • A comparative study of time advancement methods for solving Navier-Stokes equations
    • T.K. Sengupta, A. Dipankar, A comparative study of time advancement methods for solving Navier-Stokes equations, J. Sci. Comput. 35 (2) (2004) 225- 250.
    • (2004) J. Sci. Comput. , vol.35 , Issue.2 , pp. 225-250
    • Sengupta, T.K.1    Dipankar, A.2
  • 21
    • 9144270606 scopus 로고    scopus 로고
    • High accuracy compact scheme and Gibb's phenomenon
    • T.K. Sengupta, G. Ganeriwal, A. Dipankar, High accuracy compact scheme and Gibb's phenomenon, J. Sci. Comput. 21 (3) (2004) 253-268.
    • (2004) J. Sci. Comput. , vol.21 , Issue.3 , pp. 253-268
    • Sengupta, T.K.1    Ganeriwal, G.2    Dipankar, A.3
  • 22
    • 32944456335 scopus 로고    scopus 로고
    • High accuracy schemes for DNS and acoustics
    • T.K. Sengupta, S.K. Sircar, A. Dipankar, High accuracy schemes for DNS and acoustics, J. Sci. Comput. 26 (2) (2006) 151-193.
    • (2006) J. Sci. Comput. , vol.26 , Issue.2 , pp. 151-193
    • Sengupta, T.K.1    Sircar, S.K.2    Dipankar, A.3
  • 23
    • 34548663545 scopus 로고    scopus 로고
    • Error dynamics: beyond von Neumann analysis
    • T.K. Sengupta, A. Dipankar, P. Sagaut, Error dynamics: beyond von Neumann analysis, J. Comput. Phys. 226 (2007) 1211-1218.
    • (2007) J. Comput. Phys. , vol.226 , pp. 1211-1218
    • Sengupta, T.K.1    Dipankar, A.2    Sagaut, P.3
  • 24
    • 61349197432 scopus 로고    scopus 로고
    • A new combined stable and dispersion relation preserving compact scheme for non periodic problems
    • T.K. Sengupta, V. Lakshmanan, V.V.S.N. Vijay, A new combined stable and dispersion relation preserving compact scheme for non periodic problems, J. Comput. Phys. 228 (2009) 3048-3071.
    • (2009) J. Comput. Phys. , vol.228 , pp. 3048-3071
    • Sengupta, T.K.1    Lakshmanan, V.2    Vijay, V.V.S.N.3
  • 25
    • 67650125192 scopus 로고    scopus 로고
    • Further improvement and analysis of CCD scheme: dissipation discretization and de-aliasing properties
    • T.K. Sengupta, V.V.S.N. Vijay, S. Bhaumik, Further improvement and analysis of CCD scheme: dissipation discretization and de-aliasing properties, J. Comput. Phys. 228 (2009) 6150-6168.
    • (2009) J. Comput. Phys. , vol.228 , pp. 6150-6168
    • Sengupta, T.K.1    Vijay, V.V.S.N.2    Bhaumik, S.3
  • 27
    • 0039496334 scopus 로고    scopus 로고
    • 2N-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics
    • D. Stanescu, W.G. Habashi, 2N-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics, J. Comput. Phys 143 (1998) 674-681.
    • (1998) J. Comput. Phys. , vol.143 , pp. 674-681
    • Stanescu, D.1    Habashi, W.G.2
  • 28
    • 19644369292 scopus 로고
    • Dispersion-relation preserving finite difference schemes for computational acoustics
    • C.K.W. Tam, 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
  • 30
    • 0000125555 scopus 로고
    • Group velocity in finite difference schemes
    • L.N. Trefethen, Group velocity in finite difference schemes, SIAM Rev. 24 (2) (1982) 113-136.
    • (1982) SIAM Rev. , vol.24 , Issue.2 , pp. 113-136
    • Trefethen, L.N.1
  • 31
    • 0000005482 scopus 로고
    • Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • H.A. Van Der Vorst, Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems, SIAM J. Sic. Stat. Comput. 13 (2) (1992) 631-644.
    • (1992) SIAM J. Sic. Stat. Comput. , vol.13 , Issue.2 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 32
    • 0003778172 scopus 로고
    • Fourier analysis of numerical approximations of hyperbolic equations
    • SIAM, Philadelphia, USA
    • R. Vichnevetsky, J.B. Bowles, Fourier analysis of numerical approximations of hyperbolic equations, SIAM Stud. Appl. Math., vol. 5, SIAM, Philadelphia, USA, 1982.
    • (1982) SIAM Stud. Appl. Math. , vol.5
    • Vichnevetsky, R.1    Bowles, J.B.2
  • 33
    • 49549156305 scopus 로고
    • The modified equation approach to the stability and accuracy analysis of finite difference methods
    • R. Warming, R. Hyett, The modified equation approach to the stability and accuracy analysis of finite difference methods, J. Comput. Phys. 14 (1974) 159-179.
    • (1974) J. Comput. Phys. , vol.14 , pp. 159-179
    • Warming, R.1    Hyett, R.2


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