Church, Jon Matteo ORCID: https://orcid.org/0000-0002-7464-9430 (2022) Parallel Scientific Computing with Applications in Material Science and Metallurgy. PhD thesis, University of Leeds.
Abstract
A new software tool for the solution of complex time-dependent systems of partial differential is presented. High levels of parallelization are achieved in a framework that allows the developer to implement ad-hoc solvers for computationally challenging problems on a higher abstraction level without the need to understand in the low-level parallel implementation. Moreover, thanks to this new implementation, advanced numerical methods, such as mesh adaptivity, implicit time stepping, and multigrid methods can be employed with ease. Here the implementation of this new tool is presented and validated against simple elliptic and more complex phase-field models. Its parallel performance is then assessed.
Metadata
Supervisors: | Jimack, Peter |
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Related URLs: | |
Keywords: | AMR, SAMR, Mesh Adaptivity, Phase Field, Allen–Cahn, Cahn–Hillard, Scalability, Parallel Computing, MPI, Uintah, Hypre, Multigrid solvers |
Awarding institution: | University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds) |
Identification Number/EthosID: | uk.bl.ethos.863383 |
Depositing User: | Mr Jon Matteo Church |
Date Deposited: | 18 Oct 2022 10:00 |
Last Modified: | 11 Nov 2022 10:54 |
Open Archives Initiative ID (OAI ID): | oai:etheses.whiterose.ac.uk:31168 |
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