Experiments With an Adapative Multigrid Shallow-Water Tropical Cyclone Model

Abstract

Accurate modeling of tropical cyclone motion and in. tensity change requires resolving the flow both within and around the storm. Since the spatial scales in these two regions differ substantially, uniform resolution is inherently inefficient: the grid should be refined only near the storm. This idea motivates conventional nested-grid methods such as used in VlCBAR (DeMaria et al., 1992) and the GFDL model (Kurihara et al., 1998). Adaptive multigrid methods also achieve nonuniform resolution by superimposing uni- form grids of different mesh sizes, but they combine this idea with multigrid processing (Brandt, 1977) to achieve optimum solution speed and provide accurate truncation error estimates. The latter can be used in an adaptive mesh refinement scheme to provide just the resolution needed at each point. The MUDBAR model of Fulton (2000) demonstrates the potential of adaptive multigrid methods in the context of a nondivergent barotropic model. We now consider the extension of these techniques to the next level of dynamical complexity, i.e., the shallow-water equations.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2000
Accession Number
ADA376799

Entities

People

  • Brittany L. Mitchell
  • Scott R. Fulton

Organizations

  • Clarkson University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Computational Fluid Dynamics
  • Computer Science
  • Cyclones
  • Equations
  • Geopotential
  • Gravity Waves
  • Hurricanes
  • Mathematical Analysis
  • Mathematics
  • Meteorology
  • New York
  • Shallow Water
  • Storms
  • Tropical Cyclones
  • Water

Readers

  • Atmospheric Science/Meteorology
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design