How does DA address scale interactions in truncated models?
Physical phenomena often include processes with different scales both in space and time. These processes are captured differently (or not at all) by models and observations. We provide a simple analysis for a linear two-scale problem with a fast and a slow component. We show how the interactions can lead to three elements in the slow scale: direct, memory and noise (simple and complex). We discuss how these elements are addressed in sequential DA and provide some ideas of how to improve this treatment.
Dr. Javier Amezcua University of Reading