HOMOGENIZATION AND UPSCALING OF FLOW THROUGH VEGETATION
Christopher E. Kees, Matthew W. Farthing, Steven Mattis, Clint N. Dawson · AGU Fall Meeting Abstracts · 2009
Key words: Computational hydraulics, homogenization, upscaling, vegetationSummary. Vegetated marshes and wetlands are complex hydrological systems. Due pri-marily to computational constraints, the e ects of vegetation must be incorporated intodepth-integrated ow models through empirical or theoretical resistance parameteriza-tions that are closely related to the classical Chezy, Manning, and Darcy laws for surfaceroughness and porous media. In this work we investigate the use of homogenization tech-niques and multi-scale numerical modeling to represent the e ect of vegetation on shallowwater ow. In particular, we use highly resolved two- and three-dimensional numericalmodels of ow through computer-generated vegetated, ow domains along with modernvolume averaging and homogenization techniques to better understand ow resistance invarious ow regimes. The numerical models use unstructured meshes to resolve complexgeometry, and the variational multi-scale ( nite element) method to resolve steady andunsteady, low and high Reynolds number ows.1 INTRODUCTIONAccurate predictive models of shallow water ows through coastal environments areneeded for a number of industrial, military, civil works and emergency management ap-plications. In many of these applications, for example coastal inundation due to hurricanestorm surges, large domains which extend beyond the region of interest are required tocapture the basin to coastal shelf to overland ow characteristics. Modeling coastal owprocesses is complicated by the presence of smaller-scale features, including stationary1