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Journal article
Solitary Wave Benchmarks in Magma Dynamics
Journal of scientific computing, v 49(3), pp 268-290
01 Dec 2011
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We present a model problem for benchmarking codes that investigate magma migration in the Earth's interior. This system retains the essential features of more sophisticated models, yet has the advantage of possessing solitary wave solutions. The existence of such exact solutions to the nonlinear problem make it an excellent benchmark problem for combinations of solver algorithms. In this work, we explore a novel algorithm for computing high quality approximations of the solitary waves in 1-, 2- and 3 dimensions and use them to benchmark a semi-Lagrangian Crank-Nicolson scheme for a finite element discretization of the time dependent problem.
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Details
- Title
- Solitary Wave Benchmarks in Magma Dynamics
- Creators
- G. Simpson - University of TorontoM. Spiegelman - Columbia University
- Publication Details
- Journal of scientific computing, v 49(3), pp 268-290
- Publisher
- Springer Nature
- Number of pages
- 23
- Grant note
- OCE-08-41079; CMG-05-30853 / NSF; National Science Foundation (NSF) NSERC; Natural Sciences and Engineering Research Council of Canada (NSERC)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000296735100002
- Scopus ID
- 2-s2.0-84855666981
- Other Identifier
- 991019296813204721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied