Geodesic
Filtration under a Stepped Dam and Riemann Theta Functions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and mathematical physics, Tome 311 (2020), pp. 14-26

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A novel semi-analytical method for calculating the characteristics of the flow in a porous medium bounded by a rectangular polygonal barrier is proposed. The method is based on the usage of Riemann theta functions. It allows one to effectively solve certain filtration problems with machine accuracy and obtain some characteristics of the solutions without solving the problem as a whole.
Keywords: porous media, Schwarz–Christoffel integral, theta functions, real meromorphic differentials, hydraulic structures.
Mots-clés : moduli spaces 
@article{TM_2020_311_a1,
     author = {A. B. Bogatyrev and O. A. Grigor'ev},
     title = {Filtration under a {Stepped} {Dam} and {Riemann} {Theta} {Functions}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {14--26},
     publisher = {mathdoc},
     volume = {311},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_311_a1/}
}
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A. B. Bogatyrev; O. A. Grigor'ev. Filtration under a Stepped Dam and Riemann Theta Functions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and mathematical physics, Tome 311 (2020), pp. 14-26. http://geodesic.mathdoc.fr/item/TM_2020_311_a1/