Dynamic Process Optimization Using a Reduced Order Modeling Framework

2020 ◽  
Author(s):  
Ravikishan Guddeti ◽  
Sathish Sankaran
Keyword(s):  
Process Optimization ◽  
Dynamic Process ◽  
Reduced Order Modeling ◽  
Modeling Framework ◽  
Reduced Order ◽  
Dynamic Process Optimization

scholarly journals A Proper Generalized Decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties

2019 ◽  
Vol 65 (2) ◽  
pp. 451-473 ◽  
Author(s):  
Hasini Garikapati ◽  
Sergio Zlotnik ◽  
Pedro Díez ◽  
Clemens V. Verhoosel ◽  
E. Harald van Brummelen
Keyword(s):  
Crack Propagation ◽  
Material Properties ◽  
Computational Cost ◽  
Brittle Materials ◽  
Energy Criterion ◽  
Reduced Order Modeling ◽  
Proper Generalized Decomposition ◽  
Modeling Framework ◽  
Global Energy ◽  
Reduced Order

Abstract Understanding the failure of brittle heterogeneous materials is essential in many applications. Heterogeneities in material properties are frequently modeled through random fields, which typically induces the need to solve finite element problems for a large number of realizations. In this context, we make use of reduced order modeling to solve these problems at an affordable computational cost. This paper proposes a reduced order modeling framework to predict crack propagation in brittle materials with random heterogeneities. The framework is based on a combination of the Proper Generalized Decomposition (PGD) method with Griffith’s global energy criterion. The PGD framework provides an explicit parametric solution for the physical response of the system. We illustrate that a non-intrusive sampling-based technique can be applied as a post-processing operation on the explicit solution provided by PGD. We first validate the framework using a global energy approach on a deterministic two-dimensional linear elastic fracture mechanics benchmark. Subsequently, we apply the reduced order modeling approach to a stochastic fracture propagation problem.

scholarly journals Nonintrusive reduced order modeling framework for quasigeostrophic turbulence

2019 ◽  
Vol 100 (5) ◽  
Author(s):  
Sk. M. Rahman ◽  
S. Pawar ◽  
O. San ◽  
A. Rasheed ◽  
T. Iliescu
Keyword(s):  
Reduced Order Modeling ◽  
Modeling Framework ◽  
Reduced Order

scholarly journals Reduced-Order Modeling Framework for Combustor Instabilities Using Truncated Domain Training

AIAA Journal ◽  
2020 ◽  
Vol 58 (2) ◽  
pp. 618-632 ◽  
Author(s):  
Jiayang Xu ◽  
Cheng Huang ◽  
Karthik Duraisamy
Keyword(s):  
Reduced Order Modeling ◽  
Modeling Framework ◽  
Reduced Order
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