Modeling Magma Dynamics with a Mixed Fourier Collocation-Discontinuous Galerkin Method
作者机构：Department of Geological SciencesBrown UniversityProvidenceRI 02910USA Division of Applied MathematicsBrown UniversityProvidenceRI 02910USA Department of Geological SciencesUniversity of Texas at AustinAustinTX 78712USA Department of Earth and Environmental SciencesGeophysicsMunich UniversityTheresienstr.4180333 MunichGermany
出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)
年 卷 期：2011年第10卷第7期
页 面：433-452页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported in part by NSF grant DMS-0530862
主 题：Magma dynamics discontinuous Galerkin method Fourier collocation method numerical simulations linear stability analysis
摘 要：A high-order discretization consisting of a tensor product of the Fourier collocation and discontinuous Galerkin methods is presented for numerical modeling of magma *** physical model is an advection-reaction type system consisting of two hyperbolic equations and one elliptic *** high-order solution basis allows for accurate and efficient representation of compaction-dissolution waves that are predicted from linear *** discontinuous Galerkin method provides a robust and efficient solution to the eigenvalue problem formed by linear stability analysis of the physical *** insights into the processes of melt generation and segregation,such as melt channel bifurcation,are revealed from two-dimensional time-dependent simulations.
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