Reduced-Order Modeling Techniques Based on Krylov Subspaces and Their Use in Circuit Simulation

1999 ◽  
pp. 435-498 ◽  
Author(s):  
Roland W. Freund
Keyword(s):  
Circuit Simulation ◽  
Reduced Order Modeling ◽  
Krylov Subspaces ◽  
Reduced Order ◽  
Modeling Techniques

Lattice Boltzmann Flow Simulations With Applications of Reduced Order Modeling Techniques.

2014 ◽  
Author(s):  
Donald L. Brown ◽  
Jun Li ◽  
Victor M. Calo ◽  
Mehdi Ghommem ◽  
Yalchin Efendiev
Keyword(s):  
Lattice Boltzmann ◽  
Reduced Order Modeling ◽  
Reduced Order ◽  
Flow Simulations ◽  
Modeling Techniques

scholarly journals Model reduction methods based on Krylov subspaces

Acta Numerica ◽  
2003 ◽  
Vol 12 ◽  
pp. 267-319 ◽  
Author(s):  
Roland W. Freund
Keyword(s):  
Large Scale ◽  
Krylov Subspace ◽  
Circuit Simulation ◽  
Krylov Subspaces ◽  
Lanczos Algorithm ◽  
Linear Dynamical Systems ◽  
Reduced Order ◽  
Reduced Order Modelling ◽  
Reduction Methods ◽  
Modelling Techniques

In recent years, reduced-order modelling techniques based on Krylov-subspace iterations, especially the Lanczos algorithm and the Arnoldi process, have become popular tools for tackling the large-scale time-invariant linear dynamical systems that arise in the simulation of electronic circuits. This paper reviews the main ideas of reduced-order modelling techniques based on Krylov subspaces and describes some applications of reduced-order modelling in circuit simulation.

Modeling Constrained Layer Frictional Interfaces With Discontinuous Basis Functions

2011 ◽  
Author(s):  
M. R. Brake ◽  
M. J. Starr ◽  
D. J. Segalman
Keyword(s):  
Continuous System ◽  
Reduced Order Modeling ◽  
Basis Functions ◽  
Mode Shapes ◽  
Symmetric Model ◽  
Reduced Order ◽  
Linear Mode ◽  
System A ◽  
Modeling Techniques ◽  
A New Technique

Constrained layer frictional interfaces, such as joints, are prevalent in engineering applications. Because these interfaces are often used in built-up structures, reduced order modeling techniques are utilized for developing simulations of them. One limitation of the existing reduced order modeling techniques, though, is the loss of the local kinematics due to regularization of the frictional interfaces. This paper aims to avoid the use of regularization in the modeling of constrained layer frictional interfaces by utilizing a new technique, the discontinuous basis function method. This method supplements the linear mode shapes of the system with a series of discontinuous basis functions that are used to account for nonlinear forces acting on the system. A symmetric, constrained layer frictional interface is modeled as a continuous system connected to two rigid planes by a series of Iwan elements. This symmetric model is used to test the hypothesis that symmetric problems are not subjected to the range of variability seen in physical structures, which have non-uniform pressure and friction distributions. Insights from solving the symmetric problem are used to consider the case where a non-uniform distribution of friction and pressure exists.

Reduced Order Modeling and Compression of Data Produced by Simulations of Transient and Periodic Heat Transfer Processes

2013 ◽  
Author(s):  
Trevor J. Blanc ◽  
Matthew R. Jones ◽  
Steven E. Gorrell ◽  
Earl P. N. Duque
Keyword(s):  
Heat Transfer ◽  
Reduced Order Modeling ◽  
Computationally Efficient ◽  
Reduced Order ◽  
Thermal Transients ◽  
Complex Dynamic Systems ◽  
Modeling Techniques ◽  
Small Set ◽  
Periodic Heat ◽  
Value Decomposition

Reduced Order Modeling may be used to obtain compact and computationally efficient representations of complex dynamic systems. The objective of this paper is to demonstrate the application of reduced order modeling techniques to systems undergoing thermal transients. In this paper, a reduced order model is defined as a spectral method in which the dominant features of a spatially and temporally varying temperature profile are represented using a relatively small set of basis vectors. Although various approaches are possible, reduced order modeling generally relies on the use the singular value decomposition of a matrix containing representative data to generate an orthonormal basis for the process to be modeled. The results presented in this paper illustrate reduced order modeling of periodic and transient heat transfer in an axisymmetric system. Measures demonstrating the accuracy and computational savings associated with the use of reduced order modeling are presented.

Sign in / Sign up

Export Citation Format

Share Document