Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.658009
Title: Truncation error estimates for mesh refinement in Lagrangian hydrocodes
Author: Cole, Sarah Lianne
Awarding Body: University of Reading
Current Institution: University of Reading
Date of Award: 2013
Availability of Full Text:
Access through EThOS:
Abstract:
Compressible fluid flows governed by the Euler Equations of gasdynamics exhibit sharp features such as shocks and expansions which are difficult to capture computationally. In order to focus efficiently on these features an adaptive facility is required. A standard numerical scheme is the so-called Lagrange-plus-remap method, otherwise known as the ALE (Arbitrary Lagrangian Eulerian) scheme, on a refined mesh using AMR (Adaptive Mesh Refinement). This thesis focuses on the Lagrangian step in the ALE scheme and on an adaptive strategy based on error estimates. The strategy makes use of truncation errors of pairs of schemes of the same order of accuracy to monitor the error and to refine the mesh. Error estimates are obtained for the Isothermal and Euler Equations in both one and two dimensions. The strategy is shown to be effective in refining areas of compressibility.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.658009  DOI: Not available
Share: