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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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In this paper, we construct the analytic solutions and nu-merical solutions for a two-dimensional Riemann problem for Burgers’equation. In order to construct the analytic solution, we use the charac-teristic analysis with the shock and rarefaction base points. We apply thecomposite scheme suggested by Liska and Wendro to compute numer-ical solutions. The result is coincident with our analytic solution. Thisdemonstrates that the composite scheme works pretty well for Burgers’equation despite of its simplicity.
목차
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참고문헌 (18)
참고문헌 신청
C. Schulz-Rinne / 1993 / Classification of the Riemann problem for two-dimensional gas dy-namics / SIAM J. Math. Anal 24 (1) : 76 ~ 78
C. Schulz-Rinne / 1993 / Numerical solution of the Riemann problem for two-dimensional gas dynamics / SIAM J. Sci. Comput 14 (6) : 1394 ~ 1414
D. Wagner / 1983 / The Riemann problem in two space dimensions for a single conservation law / SIAM J. Math. Anal 14 (3) : 534 ~ 559
G. Chen / 1996 / Structure of Riemann solutions for 2-dimensional scalar conservation laws / J. Differential Equations 127 (1) : 124 ~ 147
J. Guckenheimer / 1975 / Shocks and rarefactions in two space dimensions / Arch. Rational Mech. Anal 59 (3) : 281 ~ 291
C. Schulz-Rinne / 1993 / Numerical solution of the Riemann problem for two-dimensional gas dynamics / SIAM J. Sci. Comput 14 (6) : 1394 ~ 1414
D. Wagner / 1983 / The Riemann problem in two space dimensions for a single conservation law / SIAM J. Math. Anal 14 (3) : 534 ~ 559
G. Chen / 1996 / Structure of Riemann solutions for 2-dimensional scalar conservation laws / J. Differential Equations 127 (1) : 124 ~ 147
J. Guckenheimer / 1975 / Shocks and rarefactions in two space dimensions / Arch. Rational Mech. Anal 59 (3) : 281 ~ 291
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