[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.
