지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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We present a multi-stage Roe-type numerical scheme for a model of two-phase flows arisen from the modeling of deflagration-to- detonation transition in granular materials. The first stage in the con- struction of the scheme computes the volume fraction at every time step.
The second stage deals with the nonconservative terms in the governing equations which produces states on both side of the contact wave at each node. In the third stage, a Roe matrix for the two-phase is used to ap- ply on the states obtained from the second stage. This scheme is shown to capture stationary waves and preserves the positivity of the volume fractions. Finally, we present numerical tests which all indicate that the proposed scheme can give very good approximations to the exact solution.
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참고문헌 (24)
참고문헌 신청
A. Ambroso / 2009 / Relaxation and numerical approximation of a two-fluid two-pressure diphasic model / Math. Model. Numer. Anal 43 (6) : 1063 ~ 1097
A. Chinnayya / 2004 / A well-balanced numerical scheme for the approximation of the shallow water equations with topography: the resonance phenomenon / Int. J. Finite Vol 1 (
B. L. Keyfitz / 2003 / Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow / Discrete Contin. Dyn. Syst. Ser. B 3 (4) : 541 ~ 563
D. Kroner / 2005 / Numerical solutions to compressible flows in a nozzle with variable cross-section / SIAM J. Numer. Anal 43 (2) : 796 ~ 824
D. Kroner / 2008 / The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section / Math. Model. Numer. Anal 42 (3) : 425 ~ 442
A. Chinnayya / 2004 / A well-balanced numerical scheme for the approximation of the shallow water equations with topography: the resonance phenomenon / Int. J. Finite Vol 1 (
B. L. Keyfitz / 2003 / Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow / Discrete Contin. Dyn. Syst. Ser. B 3 (4) : 541 ~ 563
D. Kroner / 2005 / Numerical solutions to compressible flows in a nozzle with variable cross-section / SIAM J. Numer. Anal 43 (2) : 796 ~ 824
D. Kroner / 2008 / The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section / Math. Model. Numer. Anal 42 (3) : 425 ~ 442
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