A discontinuous Galerkin finite element method for multiphase viscous flow
Multiphase viscous flow is usually modeled by a coupled system of differential equations comprising hyperbolic partial differential equations describing the evolution of the volume fraction of each phase and elliptic partial differential equations describing quasi-static force balances. A discontinu...
| Հիմնական հեղինակ: | |
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| Ձևաչափ: | Journal article |
| Լեզու: | English |
| Հրապարակվել է: |
Society for Industrial and Applied Mathematics
2015
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| Խորագրեր: |
| _version_ | 1826314883543597056 |
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| author | Whiteley, J |
| author_facet | Whiteley, J |
| author_sort | Whiteley, J |
| collection | OXFORD |
| description | Multiphase viscous flow is usually modeled by a coupled system of differential equations comprising hyperbolic partial differential equations describing the evolution of the volume fraction of each phase and elliptic partial differential equations describing quasi-static force balances. A discontinuous Galerkin finite element method is derived for this system of equations by appealing to conservation of flux and stress of each phase across element boundaries. One- and two-dimensional examples are used to demonstrate (i) the long-time stability of this method for problems where sharp gradients in solution variables develop as time evolves and (ii) the superiority of this technique over the continuous Galerkin finite element method for these exemplar problems. |
| first_indexed | 2024-03-06T19:04:07Z |
| format | Journal article |
| id | oxford-uuid:148d029d-5c7a-4acb-a9c4-c6c9f4b3aee4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:13:28Z |
| publishDate | 2015 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:148d029d-5c7a-4acb-a9c4-c6c9f4b3aee42024-10-17T10:33:52ZA discontinuous Galerkin finite element method for multiphase viscous flowJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:148d029d-5c7a-4acb-a9c4-c6c9f4b3aee4Fluid mechanicsNumerical analysisEnglishORA DepositSociety for Industrial and Applied Mathematics2015Whiteley, JMultiphase viscous flow is usually modeled by a coupled system of differential equations comprising hyperbolic partial differential equations describing the evolution of the volume fraction of each phase and elliptic partial differential equations describing quasi-static force balances. A discontinuous Galerkin finite element method is derived for this system of equations by appealing to conservation of flux and stress of each phase across element boundaries. One- and two-dimensional examples are used to demonstrate (i) the long-time stability of this method for problems where sharp gradients in solution variables develop as time evolves and (ii) the superiority of this technique over the continuous Galerkin finite element method for these exemplar problems. |
| spellingShingle | Fluid mechanics Numerical analysis Whiteley, J A discontinuous Galerkin finite element method for multiphase viscous flow |
| title | A discontinuous Galerkin finite element method for multiphase viscous flow |
| title_full | A discontinuous Galerkin finite element method for multiphase viscous flow |
| title_fullStr | A discontinuous Galerkin finite element method for multiphase viscous flow |
| title_full_unstemmed | A discontinuous Galerkin finite element method for multiphase viscous flow |
| title_short | A discontinuous Galerkin finite element method for multiphase viscous flow |
| title_sort | discontinuous galerkin finite element method for multiphase viscous flow |
| topic | Fluid mechanics Numerical analysis |
| work_keys_str_mv | AT whiteleyj adiscontinuousgalerkinfiniteelementmethodformultiphaseviscousflow AT whiteleyj discontinuousgalerkinfiniteelementmethodformultiphaseviscousflow |