A Dirac-delta function notation for source/sink terms in groundwater flow
JOURNAL OF HYDROLOGIC ENGINEERING, cilt.10, sa.5, ss.420-427, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 5
- Basım Tarihi: 2005
- Doi Numarası: 10.1061/(asce)1084-0699(2005)10:5(420)
- Dergi Adı: JOURNAL OF HYDROLOGIC ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.420-427
- Dokuz Eylül Üniversitesi Adresli: Hayır
Özet
The source/sink terms in groundwater flow are singularities that require special treatment in the numerical solution of a mathematical model. Except for the case of a point source, these singularities are not consistently defined in the governing partial differential equation or treated rigorously in the numerical solution of the governing equations. In this paper, we propose a consistent notation for handling the source/sink terms within the governing equation using the familiar Dirac-delta function notation for three-dimensional applications. We also present the domain integrals of these terms, similar to the ones that occur frequently in finite element solution of the mathematical model.