Modeling Magma Dynamics with a Mixed Fourier Collocation — Discontinuous Galerkin Method

Autor:	Marc A. Hesse, Jan S. Hesthaven, Alan Schiemenz
Rok vydání:	2011
Předmět:	symbols.namesake Collocation Fourier transform Physics and Astronomy (miscellaneous) Discretization Discontinuous Galerkin method Mathematical analysis Linear system symbols Galerkin method Hyperbolic partial differential equation Eigenvalues and eigenvectors Mathematics
Zdroj:	Communications in Computational Physics. 10:433-452
ISSN:	1991-7120 1815-2406
DOI:	10.4208/cicp.030210.240910a
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b9ed274005dee6ae325be0b4478ea72d https://doi.org/10.4208/cicp.030210.240910a Zobrazit plný text záznamu