Two-dimensional Riemann problem for Burgers' equation

被引：5
|
作者：
Yoon, Daeki [1 ]
Hwang, Woonjae [2 ]
机构：
[1] Korea Univ, Dept Math, Seoul 136701, South Korea
[2] Korea Univ, Dept Informat & Math, Jochiwon 739700, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 01期
关键词：
2D Riemann problem; conservation laws; Burgers' equation; composite scheme;
D O I：
10.4134/BKMS.2008.45.1.191
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct the analytic solutions and numerical solutions for a two-dimensional Riemann problem for Burgers' equation. In order to construct the analytic solution, we use the characteristic analysis with the shock and rarefaction base points. We apply the composite scheme suggested by Liska and Wendroff to compute numerical solutions. The result is coincident with our analytic solution. This demonstrates that the composite scheme works pretty well for Burgers' equation despite of its simplicity.
引用
收藏
页码：191 / 205
页数：15
相关论文
共 50 条
  • [1] Two-dimensional probability distribution of the solution to the random Burgers-Riemann problem
    Jornet, Marc
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2023, 453
  • [2] TWO-DIMENSIONAL BURGERS-EQUATION
    BARTUCCELLI, M
    PANTANO, P
    BRUGARINO, T
    [J]. LETTERE AL NUOVO CIMENTO, 1983, 37 (12): : 433 - 438
  • [3] Exact solutions of the two-dimensional Burgers equation
    Sirendaoreji
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (39): : 6897 - 6900
  • [4] A spectral approximation of the two-dimensional Burgers' equation
    Boules, AN
    Eick, IJ
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (02): : 299 - 309
  • [5] The Riemann problem for the Leray-Burgers equation
    Bhat, H. S.
    Fetecau, R. C.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) : 3957 - 3979
  • [6] Artificial boundary method for two-dimensional Burgers' equation
    Wu, Xiaonan
    Zhang, Jiwei
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (01) : 242 - 256
  • [7] Comment on 'Exact solutions of the two-dimensional Burgers equation'
    Hietarinta, J
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (28): : 5157 - 5158
  • [8] Optimal order reduction for the the two-dimensional burgers' equation
    Djouadi, Seddik M.
    Camphouse, R. Chris
    Myatt, James H.
    [J]. PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 5859 - +
  • [9] NUMERICAL RESOLUTION OF COUPLED TWO-DIMENSIONAL BURGERS' EQUATION
    Cristescu, Ion Aurel
    [J]. ROMANIAN JOURNAL OF PHYSICS, 2017, 62 (1-2):
  • [10] NONLINEAR FEEDBACK STABILIZATION OF A TWO-DIMENSIONAL BURGERS EQUATION
    Thevenet, Laetitia
    Buchot, Jean-Marie
    Raymond, Jean-Pierre
    [J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (04): : 929 - 955
12345