Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids
<p>This thesis provides qualitative convergence results of a sequence of numerical approximate solutions for the flow of incompressible fluids subject to an implicit constitutive relation. </p> <p>The constitutive law between shear stress tensor and shear rate tensor is encoded by...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
2018
|
| _version_ | 1826315424133808128 |
|---|---|
| author | Tscherpel, T |
| author2 | Süli, E |
| author_facet | Süli, E Tscherpel, T |
| author_sort | Tscherpel, T |
| collection | OXFORD |
| description | <p>This thesis provides qualitative convergence results of a sequence of numerical approximate solutions for the flow of incompressible fluids subject to an implicit constitutive relation. </p> <p>The constitutive law between shear stress tensor and shear rate tensor is encoded by a (t,x)-dependent maximal monotone graph with q-growth, for q > 1. </p> <p>For the finite element approximation, the assumptions result in a pair of (conforming) inf-sup stable finite element spaces for the velocity and the pressure and in the unsteady case a fully discrete approximation based on backward Euler time-stepping is investigated. </p> |
| first_indexed | 2024-03-06T18:06:49Z |
| format | Thesis |
| id | oxford-uuid:01b4901c-9705-4087-80c1-4d656d160aed |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:25:25Z |
| publishDate | 2018 |
| record_format | dspace |
| spelling | oxford-uuid:01b4901c-9705-4087-80c1-4d656d160aed2024-12-01T09:01:26ZFinite element approximation for the unsteady flow of implicitly constituted incompressible fluidsThesishttp://purl.org/coar/resource_type/c_db06uuid:01b4901c-9705-4087-80c1-4d656d160aedEnglishORA Deposit2018Tscherpel, TSüli, E<p>This thesis provides qualitative convergence results of a sequence of numerical approximate solutions for the flow of incompressible fluids subject to an implicit constitutive relation. </p> <p>The constitutive law between shear stress tensor and shear rate tensor is encoded by a (t,x)-dependent maximal monotone graph with q-growth, for q > 1. </p> <p>For the finite element approximation, the assumptions result in a pair of (conforming) inf-sup stable finite element spaces for the velocity and the pressure and in the unsteady case a fully discrete approximation based on backward Euler time-stepping is investigated. </p> |
| spellingShingle | Tscherpel, T Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids |
| title | Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids |
| title_full | Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids |
| title_fullStr | Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids |
| title_full_unstemmed | Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids |
| title_short | Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids |
| title_sort | finite element approximation for the unsteady flow of implicitly constituted incompressible fluids |
| work_keys_str_mv | AT tscherpelt finiteelementapproximationfortheunsteadyflowofimplicitlyconstitutedincompressiblefluids |