Scientific Computing Group Report - Detail view

Identifier: 2010-4

Author(s): A.R. Schiemenz, M.A. Hesse, and J.S. Hesthaven

Title: Modeling magma dynamics with a mixed Fourier collocation - discontinuous Galerkin method

Page count: 20 pp.

Date: Jan. 30, 2010

Abstract:

A high-order discretization consisting of a tensor product of the Fourier collocation and discontinuous Galerkin methods is presented for numerical modeling of magma dynamics. We solve an advection-reaction-compaction system, consisting of two hyperbolic equations and one elliptic equation. The high-order solution basis allows for accurate and efficient representation of wave-like behavior that is predicted from linear theory. New insights into the processes of melt generation and segregation are revealed from time-dependent simulations of the model system.

BibTeX:

@techreport{brown_sc_2010_4,
  title = "{Modeling magma dynamics with a mixed Fourier collocation - discontinuous Galerkin method}",
  author = "A.R. Schiemenz, M.A. Hesse, and J.S. Hesthaven",
  institution = "Scientific Computing Group, Brown University",
  number = "2010-4",
  address = "Providence, RI, USA",
  year = 2010,
  month = jan,
}

Download:

• pdf (580.7 KB)
• ps.gz (3.3 MB)