Grid and Zone Selection for AMR and ALE Schemes

Jameson, L ; Johnson, J ; Bihari, B ; Eliason, D ; Peyser, T

Lawrence Livermore National Laboratory

关键词: Polynomials;    Interpolation;    Algorithms;    Design;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;   

DOI  :  10.2172/15002527
RP-ID  :  UCRL-ID-147202-REV-1
RP-ID  :  W-7405-ENG-48
RP-ID  :  15002527

美国|英语

来源: UNT Digital Library

【 摘 要 】

Numerical algorithms are based fundamentally on polynomial interpolation. In regions of the computational domain where a low order polynomial fits the data well one will find small errors in the computed quantities. Therefore, in order to design robust methods for grid selection for AMR schemes or zone selection for ALE schemes, one needs some information on the local polynomial structure of the fields being computed. We provide here algorithms and software for selecting zones based on local estimates of polynomial interpolation error. The algorithms are based on multiresolution and wavelet analysis.