- Title Information
- Title
- Discontinuous Galerkin Methods for Magma Dynamics
- Name:
Personal
- Name Part
- Tirupathi, Seshu
- Role
- Role Term:
Text
- creator
- Origin Information
- Copyright Date
- 2014
- Physical Description
- Extent
- xix, 116 p.
- digitalOrigin
- born digital
- Note
- Thesis (Ph.D. -- Brown University (2014)
- Name:
Personal
- Name Part
- Hesthaven, Jan
- Role
- Role Term:
Text
- Director
- Name:
Personal
- Name Part
- Ainsworth, Mark
- Role
- Role Term:
Text
- Reader
- Name:
Personal
- Name Part
- Liang, Yan
- Role
- Role Term:
Text
- Reader
- Name:
Personal
- Name Part
- Parmentier, Edgar
- Role
- Role Term:
Text
- Reader
- Name:
Corporate
- Name Part
- Brown University. Applied Mathematics
- Role
- Role Term:
Text
- sponsor
- Genre (aat)
- theses
- Abstract
- Generation and segregation of magma in the Earth and the interior of large planets has been a subject of intensive study in the earth science community. In particular, a fundamental understanding of melt migration beneath the mid-ocean ridge is necessary to explain the field observations on sections of the earth's mantle that has been uplifted to the surface.
The physical model of melt migration in a heterogeneous mantle is given by an advection-reaction type system consisting of two hyperbolic equations to evolve porosity and soluble mineral abundance, opx, and one elliptic equation to recover the global pressure. In this work, high order discontinuous Galerkin (DG) methods are presented for numerical modeling of melt migration for both advection and elliptic equations.
In addition, assembling and solving the elliptic equation is identified as the major bottleneck in these computations. To address this issue, numerical methods with adaptive mesh refinement, novel methods like local timestepping methods and a projective and adaptively applied pressure estimation techniques have been developed to significantly reduce the computational wall time without impacting the overall physical reliability in the modeling of important features of melt and segregation.
Important geophysical consequences like the formation of high-porosity channels and compaction-dissolution waves, features like the shapes of opx-depleted regions called dunites and the affect of mantle heterogeneities in dunite channel formation have been explained through the results obtained from the numerical simulations.
- Subject
- Topic
- discontinuous galerkin method
- Subject
- Topic
- scientific computing
- Subject
- Topic
- magma dynamics
- Subject
- Topic
- multi-phase
- Subject (FAST)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/1041273")
- Topic
- Numerical analysis
- Record Information
- Record Content Source (marcorg)
- RPB
- Record Creation Date
(encoding="iso8601")
- 20141006
- Language
- Language Term:
Code (ISO639-2B)
- eng
- Language Term:
Text
- English
- Identifier:
DOI
- 10.7301/Z0MC8XD1
- Access Condition:
rights statement
(href="http://rightsstatements.org/vocab/InC/1.0/")
- In Copyright
- Access Condition:
restriction on access
- Collection is open for research.
- Type of Resource (primo)
- dissertations