메뉴 건너뛰기




Volumn 160, Issue 2, 2000, Pages 720-742

New High-Resolution Semi-discrete Central Schemes for Hamilton-Jacobi Equations

Author keywords

High resolution; Multidimensional Hamilton Jacobi equations; Non oscillatory time differencing; Semi discrete central schemes

Indexed keywords

RUNGE KUTTA METHODS;

EID: 0000356257     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6485     Document Type: Article
Times cited : (111)

References (26)
  • 1
    • 0030521036 scopus 로고    scopus 로고
    • Numerical discretization of first-order Hamilton-Jacobi equation on triangular meshes
    • Abgrall R. Numerical discretization of first-order Hamilton-Jacobi equation on triangular meshes. Comm. Pure Appl. Math. 49:1996;1339.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 1339
    • Abgrall, R.1
  • 2
    • 0001940777 scopus 로고    scopus 로고
    • Viscosity solutions and applications
    • edited by, I. Capuzzo, Dolcetta and P.-L. Lions, Lecture Notes in Mathematics, Springer-Verlag, New York/Berlin
    • M. Bardi, M. Crandall, L. Evans, H. Sonar, and, P. Souganidis, Viscosity solutions and applications, in, CIME Lecture Notes, edited by, I. Capuzzo, Dolcetta and P.-L. Lions, Lecture Notes in Mathematics, Springer-Verlag, New York/Berlin, 1997, Vol, 1660.
    • (1997) In, CIME Lecture Notes , vol.1660
    • Bardi, M.1    Crandall, M.2    Evans, L.3    Sonar, H.4    Souganidis, P.5
  • 3
    • 0001608079 scopus 로고
    • A second-order projection method for the incompressible Navier-Stokes equations
    • Bell J. B., Colella P., Glaz H. M. A second-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys. 85:1989;257.
    • (1989) J. Comput. Phys. , vol.85 , pp. 257
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 4
    • 0002170686 scopus 로고
    • Performance of under-resolved two-dimensional incompressible flow simulations
    • Brown D. L., Minion M. L. Performance of under-resolved two-dimensional incompressible flow simulations. J. Comput. Phys. 122:1995;165.
    • (1995) J. Comput. Phys. , vol.122 , pp. 165
    • Brown, D.L.1    Minion, M.L.2
  • 5
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A. Numerical solution of the Navier-Stokes equations. Math. Comp. 22:1968;745.
    • (1968) Math. Comp. , vol.22 , pp. 745
    • Chorin, A.1
  • 6
    • 84968511145 scopus 로고
    • Numerical schemes for conservation laws via Hamilton-Jacobi equations
    • Corrias L., Falcone M., Natalini R. Numerical schemes for conservation laws via Hamilton-Jacobi equations. Math. Comp. 64:1995;555.
    • (1995) Math. Comp. , vol.64 , pp. 555
    • Corrias, L.1    Falcone, M.2    Natalini, R.3
  • 7
    • 84966245867 scopus 로고
    • Two approximations of solutions of Hamilton-Jacobi equations
    • Crandall M. G., Lions P.-L. Two approximations of solutions of Hamilton-Jacobi equations. Math. Comp. 43:1984;1.
    • (1984) Math. Comp. , vol.43 , pp. 1
    • Crandall, M.G.1    Lions, P.-L.2
  • 8
    • 0030637848 scopus 로고    scopus 로고
    • Finite difference schemes for incompressible flows in the velocity-impulse density formulation
    • Liu J.-G. Finite difference schemes for incompressible flows in the velocity-impulse density formulation. J. Comput. Phys. 130:1997;67.
    • (1997) J. Comput. Phys. , vol.130 , pp. 67
    • Liu, J.-G.1
  • 9
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49:1983;357.
    • (1983) J. Comput. Phys. , vol.49 , pp. 357
    • Harten, A.1
  • 10
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes, III
    • Harten A., Engquist B., Osher S., Chakravarthy S. R. Uniformly high order accurate essentially non-oscillatory schemes, III. J. Comput. Phys. 71:1987;231.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.R.4
  • 11
    • 0025523018 scopus 로고
    • Smallest scale for the incompressible Navier-Stokes equations
    • Henshaw W., Kreiss H.-O., Reyna L. Smallest scale for the incompressible Navier-Stokes equations. Arch. Rat. Mech. Anal. 112:1990;21.
    • (1990) Arch. Rat. Mech. Anal. , vol.112 , pp. 21
    • Henshaw, W.1    Kreiss, H.-O.2    Reyna, L.3
  • 12
    • 0027607136 scopus 로고
    • Second-order convergence of a projection scheme for the incompressible Navier-Stokes equations with boundaries
    • Hou T. Y., Wetton B. T. R. Second-order convergence of a projection scheme for the incompressible Navier-Stokes equations with boundaries. SINUM. 30:1993;609.
    • (1993) SINUM , vol.30 , pp. 609
    • Hou, T.Y.1    Wetton, B.T.R.2
  • 15
    • 85037496007 scopus 로고    scopus 로고
    • New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
    • in press
    • A. Kurganov, and, E. Tadmor, New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations, J. Comput. Phys, in press.
    • J. Comput. Phys
    • Kurganov, A.1    Tadmor, E.2
  • 16
  • 17
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method. J. Comput. Phys. 32:1979;101.
    • (1979) J. Comput. Phys. , vol.32 , pp. 101
    • Van Leer, B.1
  • 18
    • 0031287205 scopus 로고    scopus 로고
    • Non-oscillatory central schemes for the incompressible 2-D Euler equations
    • Levy D., Tadmor E. Non-oscillatory central schemes for the incompressible 2-D Euler equations. Math. Res. Lett. 4:1997;1.
    • (1997) Math. Res. Lett. , vol.4 , pp. 1
    • Levy, D.1    Tadmor, E.2
  • 19
    • 33748158879 scopus 로고    scopus 로고
    • 1-stability and error estimates for approximate Hamilton-Jacobi solutions
    • in press
    • 1-stability and error estimates for approximate Hamilton-Jacobi solutions, Numer. Math, in press.
    • Numer. Math
    • Lin, C.-T.1    Tadmor, E.2
  • 20
    • 85189848094 scopus 로고    scopus 로고
    • High-resolution non-oscillatory central schemes for Hamilton-Jacobi equations
    • in press
    • C.-T. Lin, and, E. Tadmor, High-resolution non-oscillatory central schemes for Hamilton-Jacobi equations, SIAM J. Sci. Comput, in press.
    • SIAM J. Sci. Comput
    • Lin, C.-T.1    Tadmor, E.2
  • 21
    • 28144455569 scopus 로고
    • Non-oscillatory central differencing for hyperbolic conservation laws
    • Nessyahu H., Tadmor E. Non-oscillatory central differencing for hyperbolic conservation laws. J. Comput. Phys. 87:1990;408.
    • (1990) J. Comput. Phys. , vol.87 , pp. 408
    • Nessyahu, H.1    Tadmor, E.2
  • 22
    • 0026204106 scopus 로고
    • High-order essential nonoscillatory schemes for Hamilton-Jacobi equations
    • Osher S., Shu C.-W. High-order essential nonoscillatory schemes for Hamilton-Jacobi equations. SIAM J. Numer. Anal. 28:1991;907.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 907
    • Osher, S.1    Shu, C.-W.2
  • 23
    • 84966232121 scopus 로고
    • On the convergence of difference approximations to scalar conservation laws
    • Osher S., Tadmor E. On the convergence of difference approximations to scalar conservation laws. Math. Comp. 50:1988;19.
    • (1988) Math. Comp. , vol.50 , pp. 19
    • Osher, S.1    Tadmor, E.2
  • 24
    • 46549091075 scopus 로고
    • Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
    • Souganidis P. E. Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. J. Differential Equations. 59:1985;1.
    • (1985) J. Differential Equations , vol.59 , pp. 1
    • Souganidis, P.E.1
  • 25
    • 0000564951 scopus 로고
    • Total-variation-diminishing time discretizations
    • Shu C.-W. Total-variation-diminishing time discretizations. SISSC. 6:1988;1073.
    • (1988) SISSC , vol.6 , pp. 1073
    • Shu, C.-W.1
  • 26
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C.-W., Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77:1988;439.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439
    • Shu, C.-W.1    Osher, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.