Accession Number:

ADA604511

Title:

Localized Artificial Viscosity Stabilization of Discontinuous Galerkin Methods for Nonhydrostatic Mesoscale Atmospheric Modeling

Descriptive Note:

Journal article

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

• Yu, Meilin
• Giraldo, Francis X.
• Peng, Melinda
• Wang, Z. J.

Report Date:

2014-01-01

Pagination or Media Count:

33.0

Abstract:

Gibbs oscillation can show up near flow regions with strong temperature gradients in the numerical simulation of nonhydrostatic NH mesoscale atmospheric flows when using the high-order discontinuous Galerkin DG method. We propose to incorporate localized Laplacian artificial viscosity in the DG framework to suppress the spurious oscillation in the vicinity of sharp thermal fronts, while not contaminating the smooth flow features elsewhere. The resulting numerical formulation is then validated on several benchmark test cases, including a shock discontinuity problem with the 1D Burgers equation, and two test cases for the compressible Euler equations a rising thermal bubble and density current. The results indicate that the proposed DG-localized Laplacian artificial viscosity method works robustly with a wide range of grid sizes and polynomial orders.

Descriptors:

• *ATMOSPHERE MODELS
• FLOW
• GALERKIN METHOD
• VISCOSITY
• WEATHER FORECASTING

Subject Categories:

• Meteorology

Distribution Statement:

APPROVED FOR PUBLIC RELEASE