investigation of rossby and inertia gravity waves based on proper orthogonal decomposition (pod) in beta plain

Model Reduction by Proper Orthogonal Decomposition (POD)

Mathematical models for human tissue and blood flow both represent time dependent nonlinear partial differential equations in three space dimensions. Their numerical solution based on appropriate space/time discretizations requires computational times that even when using state-of-the-art algorithmic solvers are far from being acceptable for real time OR scenarios. A way to overcome this diffic...

Investigation of inertia-gravity waves with collocated radars

Investigation of inertia-gravity waves in the upper troposphere/lower stratosphere over northern Germany observed with collocated VHF/UHF radars A. Serafimovich, P. Hoffmann, D. Peters, and V. Lehmann Institute of Atmospheric Physics, Kühlungsborn, Germany Meteorological Observatory, Lindenberg, Germany Received: 6 July 2004 – Accepted: 20 July 2004 – Published: 5 August 2004 Correspondence to:...

Radar Measurements of Ocean Surface Waves Using Proper Orthogonal Decomposition

The influence of orographic Rossby and gravity waves on rainfall

Orography is known to influence winter precipitation in Asia and the Indo-Pacific Ocean by mechanically forcing winds, but the dynamics involved in the precipitation response are incompletely understood. This study investigates how two types of orographically forced oscillatory motions alter time-mean winds and precipitation. The quasi-geostrophic omega equation is used together with previous i...

Improvement of Reduced Order Modeling based on Proper Orthogonal Decomposition

This report focuses on improving the stability as well as the approximation properties of Reduced Order Models (ROM) based on Proper Orthogonal Decomposition (POD). The ROM is obtained by seeking a solution belonging to the POD subspace and that at the same time minimizes the Navier-Stokes residuals. We propose a modified ROM that directly incorporates the pressure term in the model. The ROM is...

System Identification Methods Based on the Proper Orthogonal Decomposition

The proper orthogonal decomposition is a powerful engineering analysis tool that has historically been used to reduce the dimension of large finite element models. The usefulness of this approach is limited because it requires the construction of a full-order finite element model. This research outlines a method for using experimental data to construct a system model that can be used to simulat...