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[02452] Fifth-order WENO Schemes with Z-type Nonlinear Weights for Hyperbolic Conservation Laws

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @E702
  • Type : Contributed Talk
  • Abstract : In this talk, we propose the variant Z-type nonlinear weights in the fifth-order weighted essentially non-oscillatory (WENO) finite difference scheme for hyperbolic conservation laws. We take new smoothness indicators and follow the form of Z-type nonlinear weights introduced by Borges et al., leading to fifth order accuracy in smooth regions and sharper approximations around discontinuities. Finally, numerical examples are presented to demonstrate the advantages of the proposed WENO schemes in shock-capturing.
  • Classification : 65M06
  • Author(s) :
    • Jiaxi Gu (Pohang University of Science and Technology)
    • Xinjuan Chen (Jimei University)
    • Jae-Hun Jung (Pohang University of Science and Technology)