Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A SEMI-LAGRANGIAN METHOD BASED ON WENO INTERPOLATION

  • Yi, Dokkyun (Division of Creative Integrated General Studies Daegu University College) ;
  • Kim, Hyunsook (Division of Mechanical and Automotive Engineering Daegu University College)
  • Received : 2015.09.02
  • Accepted : 2015.10.26
  • Published : 2015.11.15
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Abstract

In this paper, a general Weighted Essentially Non-Oscillatory (WENO) interpolation is proposed and applied to a semi-Lagrangian method. The proposed method is based on the conservation law, and characteristic curves are used to complete the semi-Lagrangian method. Therefore, the proposed method satisfies conservation of mass and is free of the CFL condition which is a necessary condition for convergence. Using a several standard examples, the proposed method is compared with the third order Strong Stability Preserving (SSP) Runge-Kutta method to verify the high-order accuracy.

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References

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