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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We present a high-resolution van Leer-type numerical scheme for the isentropic model of fluid flows in a nozzle with variable cross-section. Basically, the scheme is an improvement of the Godunov-type scheme. The scheme is shown to be well-balanced, as it can capture exactly equilibrium states. Numerical tests are conducted which include comparisons between the van Leer-type scheme and the Godunov-type scheme. It is shown that the van Leer-type scheme achieves a very good accuracy for initial data belong to both supersonic and supersonic regions, and the exact solution eventually possesses a resonant phenomenon.
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참고문헌 (36)
참고문헌 신청
P. G. LeFloch / 2007 / The Riemann problem for the shallow water equations with discontinuous to-pography / Commun. Math. Sci 5(4):865~885
P. G. LeFloch / 2011 / A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime / J. Comput. Phys 230(20):7631~7660
D. Marchesin / 1986 / A Riemann problem in gas dynamics with bifur-cation, Hyperbolic partial differential equations, III / Comput. Math. Appl. Part A 12(4-5):433~455
S. T. Munkejord / 2007 / Comparison of Roe-type methods for solving the two-fluid model with and without pressure relaxation / Computers & Fluids 36:1061~1080
R. Saurel / 1999 / A multiphase Godunov method for compressible multifluid and multiphase flows / J. Comput. Phys 150:425~467
P. G. LeFloch / 2011 / A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime / J. Comput. Phys 230(20):7631~7660
D. Marchesin / 1986 / A Riemann problem in gas dynamics with bifur-cation, Hyperbolic partial differential equations, III / Comput. Math. Appl. Part A 12(4-5):433~455
S. T. Munkejord / 2007 / Comparison of Roe-type methods for solving the two-fluid model with and without pressure relaxation / Computers & Fluids 36:1061~1080
R. Saurel / 1999 / A multiphase Godunov method for compressible multifluid and multiphase flows / J. Comput. Phys 150:425~467
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