TY - JOUR
T1 - Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method
AU - Alan R. Schiemenz, Marc A. Hesse & Jan S. Hesthaven 
JO - Communications in Computational Physics
VL - 2
SP - 433
EP - 452
PY - 2011
DA - 2011/10
SN - 10
DO - http://doi.org/10.4208/cicp.030210.240910a
UR - https://global-sci.org/intro/article_detail/cicp/7449.html
KW - 
AB - <p style="text-align: justify;">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. The physical model is an advection-reaction type system consisting
of two hyperbolic equations and one elliptic equation. The high-order solution
basis allows for accurate and efficient representation of compaction-dissolution waves
that are predicted from linear theory. The discontinuous Galerkin method provides
a robust and efficient solution to the eigenvalue problem formed by linear stability
analysis of the physical system. New insights into the processes of melt generation
and segregation, such as melt channel bifurcation, are revealed from two-dimensional
time-dependent simulations.</p>