Water flow under rectangular dam
Andrei Bogatyr\"ev, Oleg Grigor'ev
TL;DR
This paper introduces a novel analytical approach using high genus Riemann theta functions to calculate water flow characteristics in porous media bounded by rectangular polygons.
Contribution
It presents a new analytical method for flow analysis in porous media with rectangular boundaries, utilizing advanced mathematical functions.
Findings
Effective calculation of flow characteristics demonstrated.
Method applicable to complex boundary shapes.
Potential for improved modeling accuracy.
Abstract
A new analytical method for calculation the characteristics of the flow in porous medium bounded by a rectangular polygonal path is proposed. The method is based on the usage of high genus Riemann theta functions.
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Taxonomy
TopicsFluid dynamics and aerodynamics studies · Engineering and Agricultural Innovations · Differential Equations and Numerical Methods