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Volumn 227, Issue 15, 2008, Pages 7069-7076

A limiter for PPM that preserves accuracy at smooth extrema

Author keywords

Limiters; PPM; Upwind methods

Indexed keywords

COMPUTATIONAL PHYSICS; DIFFERENCE APPROXIMATION; DYNAMICAL SIMULATION; LINEAR COMBINATIONS; MONOTONICITY; NON LINEAR; PIECEWISE PARABOLIC METHOD; SECOND DERIVATIVES; UPWIND METHOD; WOODWARD;

EID: 45449098226     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.03.034     Document Type: Article
Times cited : (132)

References (17)
  • 1
    • 20344393858 scopus 로고    scopus 로고
    • A fourth-order accurate local refinement method for Poisson's equation
    • Barad M., and Colella P. A fourth-order accurate local refinement method for Poisson's equation. Journal of Computational Physics 209 (2005) 1-18
    • (2005) Journal of Computational Physics , vol.209 , pp. 1-18
    • Barad, M.1    Colella, P.2
  • 3
    • 0142175491 scopus 로고
    • Flux-corrected transport. III. Minimal-error FCT algorithms
    • Boris J.P., and Book D.L. Flux-corrected transport. III. Minimal-error FCT algorithms. Journal of Computational Physics 20 (1976) 397-431
    • (1976) Journal of Computational Physics , vol.20 , pp. 397-431
    • Boris, J.P.1    Book, D.L.2
  • 4
    • 34547419627 scopus 로고
    • The Piecewise Parabolic Method (PPM) for gas-dynamical simulations
    • Colella P., and Woodward P.R. The Piecewise Parabolic Method (PPM) for gas-dynamical simulations. Journal of Computational Physics 54 (1984) 174-201
    • (1984) Journal of Computational Physics , vol.54 , pp. 174-201
    • Colella, P.1    Woodward, P.R.2
  • 5
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics 49 (1983) 357-393
    • (1983) Journal of Computational Physics , vol.49 , pp. 357-393
    • Harten, A.1
  • 7
    • 0000557968 scopus 로고
    • Accurate upwind methods for the Euler equations
    • Huynh H.T. Accurate upwind methods for the Euler equations. SIAM Journal on Numerical Analysis 32 (1995) 1565-1619
    • (1995) SIAM Journal on Numerical Analysis , vol.32 , pp. 1565-1619
    • Huynh, H.T.1
  • 9
    • 0037146399 scopus 로고    scopus 로고
    • A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing
    • Miller G.H., and Colella P. A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing. Journal of Computational Physics 183 (2002) 26-82
    • (2002) Journal of Computational Physics , vol.183 , pp. 26-82
    • Miller, G.H.1    Colella, P.2
  • 10
    • 34547537336 scopus 로고    scopus 로고
    • Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations
    • Rider W.J., Greenough J.A., and Kamm J.R. Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations. Journal of Computational Physics 225 (2007) 1827-1848
    • (2007) Journal of Computational Physics , vol.225 , pp. 1827-1848
    • Rider, W.J.1    Greenough, J.A.2    Kamm, J.R.3
  • 11
    • 85190083692 scopus 로고    scopus 로고
    • M.D. Sekora, P. Colella, Extremum-preserving limiters for MUSCL and PPM methods (submitted for publication).
    • M.D. Sekora, P. Colella, Extremum-preserving limiters for MUSCL and PPM methods (submitted for publication).
  • 12
    • 85190075094 scopus 로고    scopus 로고
    • J.M. Stone, T.A. Gardiner, P. Teuben, J.F. Hawley, J.B. Simon, Athena: a new code for astrophysical MHD, Astrophysical Journal Supplement Series (in press).
    • J.M. Stone, T.A. Gardiner, P. Teuben, J.F. Hawley, J.B. Simon, Athena: a new code for astrophysical MHD, Astrophysical Journal Supplement Series (in press).
  • 13
    • 0031234473 scopus 로고    scopus 로고
    • Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
    • Suresh A., and Huynh H.T. Accurate monotonicity-preserving schemes with Runge-Kutta time stepping. Journal of Computational Physics 136 1 (1997) 83-99
    • (1997) Journal of Computational Physics , vol.136 , Issue.1 , pp. 83-99
    • Suresh, A.1    Huynh, H.T.2
  • 14
    • 49449129017 scopus 로고
    • Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
    • van Leer B. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection. Journal of Computational Physics 23 (1977) 276-299
    • (1977) Journal of Computational Physics , vol.23 , pp. 276-299
    • van Leer, B.1
  • 15
    • 85190080748 scopus 로고    scopus 로고
    • P.R. Woodward. Piecewise-parabolic methods for astrophysical fluid dynamics, in: K.H.A. Winkler, M.L. Norman (Eds.), Astrophysical Radiation Hydrodynamics, 1986, pp. 245-326.
    • P.R. Woodward. Piecewise-parabolic methods for astrophysical fluid dynamics, in: K.H.A. Winkler, M.L. Norman (Eds.), Astrophysical Radiation Hydrodynamics, 1986, pp. 245-326.
  • 16
    • 3743101779 scopus 로고
    • Fully multidimensional flux-corrected transport algorithms for fluids
    • Zalesak S.T. Fully multidimensional flux-corrected transport algorithms for fluids. Journal of Computational Physics 31 (1979) 335-362
    • (1979) Journal of Computational Physics , vol.31 , pp. 335-362
    • Zalesak, S.T.1
  • 17
    • 85190072393 scopus 로고    scopus 로고
    • S.T. Zalesak. A preliminary comparison of modern shock-capturing schemes: linear advection, in: R. Vichnevetsky, R. Stepleman (Eds.), Advances in Computer Methods for Partial Differential Equations VI, 1987, pp. 15-22.
    • S.T. Zalesak. A preliminary comparison of modern shock-capturing schemes: linear advection, in: R. Vichnevetsky, R. Stepleman (Eds.), Advances in Computer Methods for Partial Differential Equations VI, 1987, pp. 15-22.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.