Application of hpDGFEM to mechanisms at channel microband electrodes
We extend our earlier work (Harriman et al., Oxford University Computing Laboratory Technical Report NA04/19) on hp-DGFEM for disc electrodes to the case of reaction mechanisms to the increasingly popular channel microband electrode configuration. We present results for the simple E reaction mechani...
| Main Authors: | , , |
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| Format: | Report |
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Unspecified
2004
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| _version_ | 1797062272137297920 |
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| author | Harriman, K Gavaghan, D Suli, E |
| author_facet | Harriman, K Gavaghan, D Suli, E |
| author_sort | Harriman, K |
| collection | OXFORD |
| description | We extend our earlier work (Harriman et al., Oxford University Computing Laboratory Technical Report NA04/19) on hp-DGFEM for disc electrodes to the case of reaction mechanisms to the increasingly popular channel microband electrode configuration. We present results for the simple E reaction mechanism (convection-diffusion equation), for the ECE and EC2E reaction mechanisms (linear and nonlinear systems of reaction-convection- diffusion equations, respectively) and for the DISP1 and DISP2 reaction mechanisms (linear and nonlinear coupled systems of reaction-convection-diffusion equations, respectively). In all cases we demonstrate excellent agreement with previous results using relatively coarse meshes and without the need for streamline-diffusion stabilisation, even at high flow rates. |
| first_indexed | 2024-03-06T20:43:09Z |
| format | Report |
| id | oxford-uuid:34eea438-6669-433e-9a6c-a17ed36d929e |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:43:09Z |
| publishDate | 2004 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:34eea438-6669-433e-9a6c-a17ed36d929e2022-03-26T13:29:10ZApplication of hpDGFEM to mechanisms at channel microband electrodesReporthttp://purl.org/coar/resource_type/c_93fcuuid:34eea438-6669-433e-9a6c-a17ed36d929eMathematical Institute - ePrintsUnspecified2004Harriman, KGavaghan, DSuli, EWe extend our earlier work (Harriman et al., Oxford University Computing Laboratory Technical Report NA04/19) on hp-DGFEM for disc electrodes to the case of reaction mechanisms to the increasingly popular channel microband electrode configuration. We present results for the simple E reaction mechanism (convection-diffusion equation), for the ECE and EC2E reaction mechanisms (linear and nonlinear systems of reaction-convection- diffusion equations, respectively) and for the DISP1 and DISP2 reaction mechanisms (linear and nonlinear coupled systems of reaction-convection-diffusion equations, respectively). In all cases we demonstrate excellent agreement with previous results using relatively coarse meshes and without the need for streamline-diffusion stabilisation, even at high flow rates. |
| spellingShingle | Harriman, K Gavaghan, D Suli, E Application of hpDGFEM to mechanisms at channel microband electrodes |
| title | Application of hpDGFEM to mechanisms at channel microband electrodes |
| title_full | Application of hpDGFEM to mechanisms at channel microband electrodes |
| title_fullStr | Application of hpDGFEM to mechanisms at channel microband electrodes |
| title_full_unstemmed | Application of hpDGFEM to mechanisms at channel microband electrodes |
| title_short | Application of hpDGFEM to mechanisms at channel microband electrodes |
| title_sort | application of hpdgfem to mechanisms at channel microband electrodes |
| work_keys_str_mv | AT harrimank applicationofhpdgfemtomechanismsatchannelmicrobandelectrodes AT gavaghand applicationofhpdgfemtomechanismsatchannelmicrobandelectrodes AT sulie applicationofhpdgfemtomechanismsatchannelmicrobandelectrodes |