Numerical characterization of dispersion coefficients by meshless‐based inverse analysis

Abstract

SUMMARYThis study presents the preliminary development of a meshless-based indirect inverse analysis. Two goals are desired to be attained: (a) identifying fewer quantities in an indirect inverse analysis and (b) getting the interpolation results of spatial variation of a quantity insensitive to the replacement of one or few interpolation points with other points. This idea is illustrated by modifying a meshless local PetrovGalerkin (MLPG) formulation of a two-dimensional (2D) contaminant transport problem under the concept of boundary control. Thus, dispersion coefficients to be identified are solved from measured or prescribed pollutant concentrations.A field problem is introduced to test the performance of resulting meshless-based indirect inverse analysis procedure. This test finds a major motive and a minor one for performing a meshless-based indirect inverse analysis. The major motive is attaining the aforementioned Goal (b), while the abovementioned Goal (a) is the minor motive. In conclusion, the development of a meshless-based indirect inverse analysis procedure can be a valuable application of the MLPG method.