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Application of multilevel scheme and two level discretization for POD based model order reduction of nonlinear transient heat transfer problems

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Title Application of multilevel scheme and two level discretization for POD based model order reduction of nonlinear transient heat transfer problems
 
Creator GAONKAR, AK
KULKARNI, SS
 
Subject PROPER ORTHOGONAL DECOMPOSITION
COHERENT STRUCTURES
MECHANICAL SYSTEMS
DYNAMIC ANALYSIS
TURBULENCE
SIMULATION
EQUATIONS
Model order reduction
Proper orthogonal decomposition
Multilevel schemes
Two-level discretization
Nonlinear heat transfer
 
Description In the present paper, a method to reduce the computational cost associated with solving a nonlinear transient heat conduction problem is presented. The proposed method combines the ideas of two level discretization and the multilevel time integration schemes with the proper orthogonal decomposition model order reduction technique. The accuracy and the computational efficiency of the proposed methods is discussed. Several numerical examples are presented for validation of the approach. Compared to the full finite element model, the proposed method significantly reduces the computational time while maintaining an acceptable level of accuracy.
 
Publisher SPRINGER
 
Date 2016-01-14T11:01:12Z
2016-01-14T11:01:12Z
2015
 
Type Article
 
Identifier COMPUTATIONAL MECHANICS, 55(1)179-191
0178-7675
1432-0924
http://dx.doi.org/10.1007/s00466-014-1089-y
http://dspace.library.iitb.ac.in/jspui/handle/100/17423
 
Language en