A robust upwind discretization method for advection, diffusion and source terms:
Abstract: "A finite-volume discretization for advection-diffusion equations with source term is described and applied. The complete space discretization is second- to third-order accurate and monotone. Good accuracy and monotonicity are guaranteed by an appropriate limiter function in the upwin...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1993
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1993,8 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "A finite-volume discretization for advection-diffusion equations with source term is described and applied. The complete space discretization is second- to third-order accurate and monotone. Good accuracy and monotonicity are guaranteed by an appropriate limiter function in the upwind advection operator. The discretization of diffusion is standard, second-order central. For source terms, an evaluation is proposed which is consistent with that of the advection terms. It leads to improved accuracy, as well as to improved residual convergence for steady problems. The complete space discretization works well for both smooth and non-smooth problems. This good robustness is considered to be the method's main property Except for two novelties (the limiter function and the source term evaluation), the space discretization is standard and well-proven in e.g. aircraft-aerodynamics computations. In air-pollution transport computations it is not. We think that it can be successfully applied in the latter field as well. |
| Beschreibung: | 22 S. |
Internformat
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| 100 | 1 | |a Koren, Barry |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A robust upwind discretization method for advection, diffusion and source terms |c B. Koren |
| 264 | 1 | |a Amsterdam |c 1993 | |
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| 520 | 3 | |a Abstract: "A finite-volume discretization for advection-diffusion equations with source term is described and applied. The complete space discretization is second- to third-order accurate and monotone. Good accuracy and monotonicity are guaranteed by an appropriate limiter function in the upwind advection operator. The discretization of diffusion is standard, second-order central. For source terms, an evaluation is proposed which is consistent with that of the advection terms. It leads to improved accuracy, as well as to improved residual convergence for steady problems. The complete space discretization works well for both smooth and non-smooth problems. This good robustness is considered to be the method's main property | |
| 520 | 3 | |a Except for two novelties (the limiter function and the source term evaluation), the space discretization is standard and well-proven in e.g. aircraft-aerodynamics computations. In air-pollution transport computations it is not. We think that it can be successfully applied in the latter field as well. | |
| 650 | 4 | |a Diffusion processes | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1993,8 |w (DE-604)BV010177152 |9 1993,8 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006768323 | ||
Datensatz im Suchindex
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| author | Koren, Barry |
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| id | DE-604.BV010187733 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006768323 |
| oclc_num | 31389661 |
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| physical | 22 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Koren, Barry Verfasser aut A robust upwind discretization method for advection, diffusion and source terms B. Koren Amsterdam 1993 22 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1993,8 Abstract: "A finite-volume discretization for advection-diffusion equations with source term is described and applied. The complete space discretization is second- to third-order accurate and monotone. Good accuracy and monotonicity are guaranteed by an appropriate limiter function in the upwind advection operator. The discretization of diffusion is standard, second-order central. For source terms, an evaluation is proposed which is consistent with that of the advection terms. It leads to improved accuracy, as well as to improved residual convergence for steady problems. The complete space discretization works well for both smooth and non-smooth problems. This good robustness is considered to be the method's main property Except for two novelties (the limiter function and the source term evaluation), the space discretization is standard and well-proven in e.g. aircraft-aerodynamics computations. In air-pollution transport computations it is not. We think that it can be successfully applied in the latter field as well. Diffusion processes Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1993,8 (DE-604)BV010177152 1993,8 |
| spellingShingle | Koren, Barry A robust upwind discretization method for advection, diffusion and source terms Diffusion processes |
| title | A robust upwind discretization method for advection, diffusion and source terms |
| title_auth | A robust upwind discretization method for advection, diffusion and source terms |
| title_exact_search | A robust upwind discretization method for advection, diffusion and source terms |
| title_full | A robust upwind discretization method for advection, diffusion and source terms B. Koren |
| title_fullStr | A robust upwind discretization method for advection, diffusion and source terms B. Koren |
| title_full_unstemmed | A robust upwind discretization method for advection, diffusion and source terms B. Koren |
| title_short | A robust upwind discretization method for advection, diffusion and source terms |
| title_sort | a robust upwind discretization method for advection diffusion and source terms |
| topic | Diffusion processes |
| topic_facet | Diffusion processes |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT korenbarry arobustupwinddiscretizationmethodforadvectiondiffusionandsourceterms |