INTEGRATING A BILINEAR INTERPOLATION FUNCTION ACROSS QUADRILATERAL CELL BOUNDARIES

BROCK, J. S.

Los Alamos National Laboratory

关键词: Series Expansion;    Functionals;    Verification;    71 Classical And Quantum Mechanics, General Physics;    Interpolation;   

DOI  :  10.2172/772922
RP-ID  :  LA-UR-00-3329
RP-ID  :  W-7405-ENG-36
RP-ID  :  772922

美国|英语

来源: UNT Digital Library

【 摘 要 】

Computational models of particle dynamics often exchange solution data with discretized continuum-fields using interpolation functions. These particle methods require a series expansion of the interpolation function for two purposes: numerical analyses used to establish the models consistency and accuracy, and logical-coordinate evaluation used to locate particles within a grid. This report presents a new method of developing discrete-expansions for interpolation; they are similar to multi-variable expansions but, unlike a Taylor's series, discrete-expansions are valid throughout a discretized domain. Discrete-expansions are developed herein by parametrically integrating the interpolation function's total-differential between two particles located within separate, non-contiguous cells. Discrete-expansions are valid for numerical analyses since they acknowledge the functional dependence of interpolation and account for mapping discontinuities across cell boundaries. The use of discrete-expansions for logical-coordinate evaluation provides an algorithmically robust and computationally efficient particle localization method. Verification of this new method is demonstrated herein on a simple test problem.