Special Session 177: Innovations in Data Assimilation: Theory, Algorithms, and Application

Spectral Viscosity with Continuous Data Assimilation: Model Mismatch
Nicholas White
University of Nebraska-Lincoln
USA
Co-Author(s):    Adam Larios
Abstract:
Continuous Data Assimilation aims to reconstruct the solution of a dissipative system given partial observations of large-scale data. Spectral viscosity, introduced by Tadmor (1989) applies dissipation only on small scales in order to resolve numerical simulations. In this work, we discuss the use of the Continuous Data Assimilation algorithm on the 2D Navier-Stokes Equations with only spectral viscosity. We also discuss the consequences of mismatch in dissipation strength between the observed and simulated solutions.