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Comparison between the positive schemes and WENO for high Mach jets in 1D

하영수
대한수학회 (The Korean Mathematical Society)|2007.10|대한수학회논문집 (Communications of the KMS)|제22권 제4호|pp. 609-621

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참고문헌

주제분류수학

초록

Abstract

Comparison of high Mach number jets using positive schemesand Weighted ENO methods is considered in this paper. The positivescheme introduced by [11, 14] and Weighted ENO [9, 10] have allowed usto simulate very high Mach numbers more than Mach 80. Simulations athigh Mach numbers and with radiative cooling are essential for achievingdetailed agreement with astrophysical images.

참고문헌 (18)

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  2. "Positivity of ux vector splitting schemes", 155, pp.199~220 (1999)
  3. "Numerical Simulation of High MachNumber Astrophysical Jets with Radiative Cooling", 24, pp.29~44 (2005)
  4. "Explicit solutions to a convection-reaction equation and defectsof numerical schemes", 220, pp.511~531 (2006)
  5. "On upstream dierencing and Godunov-typeschemes for hyperbolic conservation laws", pp.3561~ (1983)
  6. "On a Class of High Resolution Total-Variation-Stable Finite-DierenceSchemes", pp.1~23 (1984)
  7. "Self-Adjusting Hybrid Schemes for Shock Computations", 9 (1972)
  8. "Hubble space telescope wide eldplanetary camera 2 observations of HH 1-2", 116, pp.372~395 (1998)
  9. "A High-Order WENO Finite Dierence Scheme for the Equa-tions of Ideal Magnetohydrodynamics", 150, pp.561~594 (1999)
  10. "Ecient Implementation of Weighted ENO schemes", 126, pp.202~228 (1996)
  11. "Solution of Two-Dimensional Riemann Problems of GasDynamics by Positive Schemes", 19(2), pp.319~340 (1998)
  12. "Systems of conservation laws", 13 (1960)
  13. "Comparison of Serveral Dierence Schemes on 1D and 2DTest Problems for the Euler Equations", 25(3), pp.995~1017 (2003)
  14. "Positive Schemes for Solving Multi-dimensional HyperbolicSystems of Conservation Laws", 5, pp.133~156 (1996)
  15. "Eective radiative cooling in optically thin plas-mas", 273 (1993)
  16. "Total-variation-diminshing time discretizations", 9 (1988)
  17. "Ecient implementation of essentially non-oscillatory shockcapturing schemes", pp.32~78 (1989)
  18. "Riemann Solvers and Numerical Methods for Fluid Dynamics" (1997), Springer-Verlag, New York

관련 논문AI추천

Adaptive mesh refinement for weighted essentially non-oscillatory schemes윤대기, 황운재, Hongjoong Kim대한수학회 · 대한수학회보2008 · 제45권 제4호A HIGH-RESOLUTION VAN LEER-TYPE SCHEME FOR A MODEL OF FLUID FLOWS IN A NOZZLE WITH VARIABLE CROSS-SECTIONDao Huy Cuong, Mai Duc Thanh대한수학회 · 대한수학회지2017 · 제54권 제1호Analysis of a Meshfree Method for the compressible Euler Equations김용식, 박대현대한수학회 · 대한수학회지2006 · 제43권 제5호Central schemes with Lax-Wendroff type time discretizations신수연, 황운재대한수학회 · 대한수학회보2011 · 제48권 제4호A second order upwind method for linear hyperbolic systemsJun Yong Shin, Sung-Ik Sohn대한수학회 · 대한수학회논문집2002 · 제17권 제1호A Numerical scheme with a mesh on characteristics for the Cauchy problem for one-dimensional hyperbolic conservation laws황운재, Daeki Yoon, Hongjoong Kim대한수학회 · 대한수학회논문집2009 · 제24권 제3호

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