Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A SECOND ORDER UPWIND METHOD FOR LINEAR HYPERBOLIC SYSTEMS

  • Sohn, Sung-Ik (School of Information Engineering, Tongmyong University of Information Technology) ;
  • Shin, Jun-Yong (Division of Mathematical Sciences, Pukyung National University)
  • Published : 2002.01.01
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Abstract

A second order upwind method for linear hyperbolic systems is studied in this paper. The method approximates solutions as piecewise linear functions, and state variables and slopes of the linear functions for next time step are computed separately. We present a new method for the computation of slopes, derived from an upwinding difference for a derivative. For nonoscillatory solutions, a monotonicity algorithm is also proposed by modifying an existing algorithm. To validate our second order upwind method, numerical results for linear advection equations and linear systems for elastic and acoustic waves are given.

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References

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