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Modeling Magma Dynamics with a Mixed Fourier Collocation-Discontinuous Galerkin Method
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作者 alan r.schiemenz Marc A.Hesse Jan S.Hesthaven 《Communications in Computational Physics》 SCIE 2011年第7期433-452,共20页
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-reactio... 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. 展开更多
关键词 Magma dynamics discontinuous Galerkin method Fourier collocation method numerical simulations linear stability analysis
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