Approximate deconvolution reduced order modeling

Approximate Deconvolution Reduced Order Modeling

This talk proposes an approximate deconvolution reduced order model (AD-ROM). The new AD-ROM is developed within the large eddy simulation reduced order modeling (LES-ROM) framework, in which a differential filter is used to define the large ROM structures and the AD approach is used to solve the ROM closure problem. The AD-ROM is tested in the numerical simulation of a three-dimensional flow p...

Reduced Order Long Interconnect Modeling

As the size of the integrated circuits become smaller with higher speed of operation, the RLC interconnect effects have greater impact on signal propagation and signal integrity issue that is reflected in terms of noise or cross talk effects and giving rise to delay, ringing, glitches and overshoot, undershoot or false signaling problems etc. (figure-1, [7]). These definitely impose a great cha...

Laguerre-svd Reduced Order Modeling

A reduced order modeling method based on a system description in terms of orthonormal Laguerre functions, together with a Krylov subspace decomposition technique is presented. The link with Padé approximation, the block Arnoldi process and singular value decomposition (SVD) leads to a simple and stable implementation of the algorithm. Novel features of the approach include the determination of ...

Reduced Order Control based on Approximate Inertial Manifolds

A reduced-order method based on approximate inertial manifolds is applied to optimal control problems in infinite-dimensional state spaces. A detailed analysis of the method is given for the linear quadratic regulator problem. The method can also be applied to higher-order control systems with an appropriate decomposition of the state space in terms of slow and fast exponential decay.

Reduced Order Modeling of Nonlinear Control Systems