A Posteriori Analysis of Adaptive Multiscale Operator Decomposition Methods for Multiphysics Problems

Donald Estep ; Michael Holst ; Simon Tavener

关键词: NUMERICAL SOLUTION;    PHYSICS;    STABILITY multiscale;    multiphysics models;    operator decomposition;    operator splitting;    adaptive discretization;    adaptive finite elements;    a posteriori error estimate;    conjugate heat trans;   

DOI  :  10.2172/971515
RP-ID  :  DOE/ER/25620-3
PID  :  OSTI ID: 971515
Others  :  Other: 5338440
Others  :  TRN: US201206%%3

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

This project was concerned with the accurate computational error estimation for numerical solutions of multiphysics, multiscale systems that couple different physical processes acting across a large range of scales relevant to the interests of the DOE. Multiscale, multiphysics models are characterized by intimate interactions between different physics across a wide range of scales. This poses significant computational challenges addressed by the proposal, including: (1) Accurate and efficient computation; (2) Complex stability; and (3) Linking different physics. The research in this project focused on Multiscale Operator Decomposition methods for solving multiphysics problems. The general approach is to decompose a multiphysics problem into components involving simpler physics over a relatively limited range of scales, and then to seek the solution of the entire system through some sort of iterative procedure involving solutions of the individual components. MOD is a very widely used technique for solving multiphysics, multiscale problems; it is heavily used throughout the DOE computational landscape. This project made a major advance in the analysis of the solution of multiscale, multiphysics problems.