A Posteriori Analysis of Adaptive Multiscale Operator Decomposition Methods for Multiphysics Problems
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.
- Research Organization:
- Colorado State University, Fort Collins, CO, 80523
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- FG02-04ER25620
- OSTI ID:
- 971515
- Report Number(s):
- DOE/ER/25620-3; 5338440; TRN: US201206%%3
- Country of Publication:
- United States
- Language:
- English
Similar Records
Peridynamic Multiscale Finite Element Methods
Enabling Predictive Simulation and UQ of Complex Multiphysics PDE Systems by the Development of Goal-Oriented Variational Sensitivity Analysis and a-Posteriori Error Estimation Methods
Related Subjects
NUMERICAL SOLUTION
PHYSICS
STABILITY
multiscale
multiphysics models
operator decomposition
operator splitting
adaptive discretization
adaptive finite elements
a posteriori error estimate
conjugate heat transfer
coupled elliptic problems
computable error estimate
sensitivity analysis
adaptive sampling
boundary flux
iterative methods
quantity of interest
goal oriented adaptive error control
coupled physics
nonparametric density estimation
Green's functions