Volume 10, Issue 2
Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

Alan R. Schiemenz, Marc A. Hesse & Jan S. Hesthaven

Commun. Comput. Phys., 10 (2011), pp. 433-452.

Published online: 2011-10

Preview Full PDF 115 978
Export citation
  • 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. 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CiCP-10-433, author = {}, title = {Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method}, journal = {Communications in Computational Physics}, year = {2011}, volume = {10}, number = {2}, pages = {433--452}, 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. 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.030210.240910a}, url = {http://global-sci.org/intro/article_detail/cicp/7449.html} }
TY - JOUR T1 - Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method JO - Communications in Computational Physics VL - 2 SP - 433 EP - 452 PY - 2011 DA - 2011/10 SN - 10 DO - http://dor.org/10.4208/cicp.030210.240910a UR - https://global-sci.org/intro/article_detail/cicp/7449.html KW - AB -

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.

Alan R. Schiemenz, Marc A. Hesse & Jan S. Hesthaven . (2020). Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method. Communications in Computational Physics. 10 (2). 433-452. doi:10.4208/cicp.030210.240910a
Copy to clipboard
The citation has been copied to your clipboard