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A Conservative Front-Tracking Method for Scalar Conservation Laws in One Space Dimension with Nonconvex Flux

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Book cover System Simulation and Scientific Computing (ICSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 327))

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Abstract

The second author of this paper has designed a conservative front-tracking method. The method tracks discontinuities by using the conservation property of the hyperbolic conservation laws rather than the Hugoniot condition. We compute the numerical solution on each side of a discontinuity using information only from the same side. In this paper, we develop the method for one-dimensional scalar conservation laws with nonconvex flux. Numerical examples are presented to show the robustness and accuracy of the method.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, Jinan, Shandong, 250022, China

    Jingting Hu

  2. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Dekang Mao

Authors
  1. Jingting Hu
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  2. Dekang Mao
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Editor information

Editors and Affiliations

  1. National CIMS Engineering Research Center, Department of Automation, Tsinghua University, 100084, Beijing, China

    Tianyuan Xiao

  2. School of Automation Science and Electrical Engineering, Beihang University, 100191, Beijing, China

    Lin Zhang

  3. School of Mechatronics Engineering and Automation, Shanghai University, 200072, Shanghai, China

    Shiwei Ma

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© 2012 Springer-Verlag Berlin Heidelberg

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Hu, J., Mao, D. (2012). A Conservative Front-Tracking Method for Scalar Conservation Laws in One Space Dimension with Nonconvex Flux. In: Xiao, T., Zhang, L., Ma, S. (eds) System Simulation and Scientific Computing. ICSC 2012. Communications in Computer and Information Science, vol 327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34396-4_10

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  • DOI: https://doi.org/10.1007/978-3-642-34396-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34395-7

  • Online ISBN: 978-3-642-34396-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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