Modeling Subgrid Viscosity for Advection--Diffusion Problems
We analyse the effect of the subgrid viscosity on a finite element discretisation, with piecewise linear elements, of a linear advection-diffusion scalar equation. We point out the importance of a proper tune-up of the viscosity coefficient, and we propose a heuristic method for obtaining reasonable...
Main Authors: | , , , |
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Format: | Report |
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1999
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_version_ | 1797106248389230592 |
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author | Brezzi, F Houston, P Marini, D Suli, E |
author_facet | Brezzi, F Houston, P Marini, D Suli, E |
author_sort | Brezzi, F |
collection | OXFORD |
description | We analyse the effect of the subgrid viscosity on a finite element discretisation, with piecewise linear elements, of a linear advection-diffusion scalar equation. We point out the importance of a proper tune-up of the viscosity coefficient, and we propose a heuristic method for obtaining reasonable values for it. The extension to more general problems is then hinted in the last section. |
first_indexed | 2024-03-07T06:59:01Z |
format | Report |
id | oxford-uuid:ff19a71e-242e-485e-a1aa-681ab6538f5c |
institution | University of Oxford |
last_indexed | 2024-03-07T06:59:01Z |
publishDate | 1999 |
publisher | Unspecified |
record_format | dspace |
spelling | oxford-uuid:ff19a71e-242e-485e-a1aa-681ab6538f5c2022-03-27T13:42:00ZModeling Subgrid Viscosity for Advection--Diffusion ProblemsReporthttp://purl.org/coar/resource_type/c_93fcuuid:ff19a71e-242e-485e-a1aa-681ab6538f5cMathematical Institute - ePrintsUnspecified1999Brezzi, FHouston, PMarini, DSuli, EWe analyse the effect of the subgrid viscosity on a finite element discretisation, with piecewise linear elements, of a linear advection-diffusion scalar equation. We point out the importance of a proper tune-up of the viscosity coefficient, and we propose a heuristic method for obtaining reasonable values for it. The extension to more general problems is then hinted in the last section. |
spellingShingle | Brezzi, F Houston, P Marini, D Suli, E Modeling Subgrid Viscosity for Advection--Diffusion Problems |
title | Modeling Subgrid Viscosity for Advection--Diffusion Problems |
title_full | Modeling Subgrid Viscosity for Advection--Diffusion Problems |
title_fullStr | Modeling Subgrid Viscosity for Advection--Diffusion Problems |
title_full_unstemmed | Modeling Subgrid Viscosity for Advection--Diffusion Problems |
title_short | Modeling Subgrid Viscosity for Advection--Diffusion Problems |
title_sort | modeling subgrid viscosity for advection diffusion problems |
work_keys_str_mv | AT brezzif modelingsubgridviscosityforadvectiondiffusionproblems AT houstonp modelingsubgridviscosityforadvectiondiffusionproblems AT marinid modelingsubgridviscosityforadvectiondiffusionproblems AT sulie modelingsubgridviscosityforadvectiondiffusionproblems |