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[00225] Multidimensional WENO-AO Reconstructions Using A Simplified Smoothness Indicator

  • Session Time & Room : 4C (Aug.24, 13:20-15:00) @E704
  • Type : Contributed Talk
  • Abstract : Finite volume, weighted essentially non-oscillatory (WENO) schemes using the simple smoothness indicator $\sigma= 1/(L-1) \sum_{j} (u_{j} - u_{m})^2$, are presented, where $L$ is the number of mesh elements in the stencil, $u_j$ is the local function average over $j$th element, and index $m$ gives the target element. We develop a modification of WENO-Z weighting that gives a reliable and accurate reconstruction of adaptive order. Convergence results are proved. Numerical experimental results are also provided.
  • Classification : 65D15, 65M08, 65M12, 76M12
  • Format : Online Talk on Zoom
  • Author(s) :
    • Chiehsen Huang (National Sun Yat-sen University)
    • Todd Arbogast (University of Texas; Austin)
    • Chenyu Tian (University of Texas; Austin)