A vector potential for a partly penetrating well and flux in an approximate method of images

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 457, Issue 2013, 2001, Pages 2093-2111

  Steward, D R ^a  

^a 129 Seaton Hall   (United States)

Author keywords

Groundwater; Method of images; Three dimensional; Vector potential; Vortex line; Vortex sheet

Indexed keywords

EID: 57249113646     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2001.0792     Document Type: Article

References (46)

1. Significance of electromagnetic potentials in the quantum theory
2. Some computation-steeples in fluid mechanics
3. Vector potentials in three-dimensional non-smooth domains
4. Numerical solution of the three-dimensional equations of motion for laminar natural convection
5. An integral equation method to solve three-dimensional confined flow to drainage systems
6. On the fields of a torus and the role of the vector potential
7. Über eine allgemeine transformation der hydrodynamischen gleichungen
8. Discrete vector potential representation of a divergence-free vector field in three-dimensional domains: Numerical analysis of a model problem
9. Modeling three-dimensional flow in confined aquifers by superposition of both two- and three-dimensional analytic functions
10. A new analytic function for modeling partially penetrating wells
11. A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics
12. The linear antenna - Eighty years of progress
13. What the electromagnetic vector potential describes
14. Comparison of vector potential and extended scalar potential methods and true three-dimensional magnetostatic field calculation
15. A dynamical theory of the electromagnetic field
16. Collective electrodynamics. I
17. An exact method of integration for vector potentials of thin dipole antennas
18. A critical study of the vector potential
19. Determining 3D capture zones in homogeneous, anisotropic aquifers
20. Thoughts on the magnetic vector potential
21. Note on the existence and determination of a vector potential
22. Stream surfaces in two-dimensional and three-dimensional divergence-free flows
23. Three-dimensional analysis of the capture of contaminated leachate by fully penetrating, partially penetrating, and horizontal wells
24. Deformation of stream surfaces in steady axisymmetric flow
25. The exact kernel for cylindrical antenna
26. An exact formulation for the vector potential of a cylindrical antenna with uniformly distributed current and arbitrary radius
27. Techniques for evaluating the uniform current vector potential at the isolated singularity of the cylindrical wire kernel