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Volumn 47, Issue 10-11, 2005, Pages 1253-1259

Combining high-order accuracy with non-oscillatory methods through monotonicity preservation

Author keywords

High order; Monotonicity; Non oscillatory; Preserving

Indexed keywords

FLUID DYNAMICS;

EID: 16244378250     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.875     Document Type: Article
Times cited : (10)

References (14)
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    • Van Leer, B.1
  • 2
    • 34547419627 scopus 로고
    • The piecewise parabolic method (PPM) for gas-dynamical simulations
    • Colella P, Woodward PR. The piecewise parabolic method (PPM) for gas-dynamical simulations. Journal of Computational Physics 1984; 54:174-201.
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    • Colella, P.1    Woodward, P.R.2
  • 4
    • 0023329384 scopus 로고
    • Uniformly high-order accurate nonoscillatory schemes. I
    • Harten A, Osher S. Uniformly high-order accurate nonoscillatory schemes. I. SIAM Journal on Numerical Analysis 1987; 24:1565-1619.
    • (1987) SIAM Journal on Numerical Analysis , vol.24 , pp. 1565-1619
    • Harten, A.1    Osher, S.2
  • 6
    • 0000557968 scopus 로고
    • Accurate upwind methods for the Euler equations
    • Huynh HT. Accurate upwind methods for the Euler equations. SIAM Journal on Numerical Analysis 1995; 32:279-309.
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    • Huynh, H.T.1
  • 7
    • 0031234473 scopus 로고    scopus 로고
    • Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
    • Suresh A, Huynh HT. Accurate monotonicity-preserving schemes with Runge-Kutta time stepping. Journal of Computational Physics 1997; 136:83-99.
    • (1997) Journal of Computational Physics , vol.136 , pp. 83-99
    • Suresh, A.1    Huynh, H.T.2
  • 8
    • 3042961074 scopus 로고
    • A fluid transport algorithm that works
    • International Atomic Energy Commission: Trieste
    • Boris JP. A fluid transport algorithm that works. Computing as a Language for Physics. International Atomic Energy Commission: Trieste, 1971; 171-189.
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    • Boris, J.P.1
  • 9
    • 0000327531 scopus 로고
    • Towards the ultimate conservative differencing scheme I: The quest of monotonicity
    • Van Leer B. Towards the ultimate conservative differencing scheme I: The quest of monotonicity. Lecture Notes in Physics 1973; 163-168.
    • (1973) Lecture Notes in Physics , pp. 163-168
    • Van Leer, B.1
  • 10
    • 19644369292 scopus 로고
    • Dispersion-relation-preserving schemes for computational acoustics
    • Tam CKW, Webb JC. Dispersion-relation-preserving schemes for computational acoustics. Journal of Computational Physics 1993; 107:262-281.
    • (1993) Journal of Computational Physics , vol.107 , pp. 262-281
    • Tam, C.K.W.1    Webb, J.C.2
  • 11
    • 0033166006 scopus 로고    scopus 로고
    • An adaptive Riemann solver using a two-shock approximation
    • Rider WJ. An adaptive Riemann solver using a two-shock approximation. Computers and Fluids 1999; 28:741-777.
    • (1999) Computers and Fluids , vol.28 , pp. 741-777
    • Rider, W.J.1
  • 12
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    • A quantitative comparison of numerical methods for the compressible Euler equations
    • Greenough JA, Rider WJ. A quantitative comparison of numerical methods for the compressible Euler equations. Journal of Computational Physics 2004; 196(1):281-296.
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  • 13
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    • Extrema, accuracy and monotonicity preserving methods through adaptive nonlinear hybridizations
    • submitted. Also Los Alamos Report LA-UR-04-0593
    • Rider WJ, Greenough JA, Kamm JR. Extrema, accuracy and monotonicity preserving methods through adaptive nonlinear hybridizations. Journal of Computational Physics 2004, submitted. Also Los Alamos Report LA-UR-04-0593.
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  • 14
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    • Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.