THEORETICALLY AND NUMERICALLY ASSESSING THE VALIDITY OF EULERIAN TRUNCATION IN STOCHASTIC GROUNDWATER MODELING

作     者：Liao, Hua-Sheng Li, Shu-Guang 

作者机构：Hydraulics Lab.of High Speed Flows Sichuan Univ. Chengdu 610065 China Dept. of Civil and Environ. Eng. Michigan State Univ. East Lansing MI 48824 United States 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2002年第14卷第3期

页      面：13-20页

核心收录：

学科分类：081803[工学-地质工程] 08[工学] 0818[工学-地质资源与地质工程] 

基　　金：NationalScienceFoundationofUSAandpartlybyTrans CenturyTrainingProgrammeFounda tionfortheTalentsbytheStateEducationCommission 

主　　题：Computer simulation Monte Carlo methods Perturbation techniques Random processes Stochastic programming 

摘      要：A theoretical and numerical assessment of the validity of Eulerian truncation in stochastic modeling is presented. Specifically, we analyze and compare theoretically various existing Eulerian-based first-order techniques with and without invoking Eulerian truncation and quantify the terms truncated and retained in the stochastic perturbation equations using high resolution Monte Carlo simulations. We also analyze and compare numerically various existing Eulerian-based first-order techniques and Monte Carlo simulation. The obtained results have demonstrated theoretically and numerically that existing Eulerian-based stochastic perturbation techniques are equivalent. The terms truncated are indeed one order higher than those retained. Therefore, we conclude that Eulerian truncation is mathematically consistent and asymptotic.