An Efficient Method to Compute Pressure on Blades of Hydraulic Machines
Nataliya Kalashnykova
Felipe J. Castillo Pérez
Abstract:
Keywords-- Method of discrete hydrodynamic singularity, the implicit diagonal dominance, hydrodynamic charges.
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An Efficient Method to Compute Pressure on Blades of Hydraulic Machines | ||
| Published in: | Proceedings of the 13th Latin American and Caribbean Conference for Engineering and Technology: Engineering Education Facing the Grand Challenges, What Are We Doing? | |
| Date of Conference: | July 29 - 31, 2015 | |
| Location of Conference: | Santo Domingo, Dominican Republic | |
| Authors: | Vyacheslav Kalashnikov Nataliya Kalashnykova Felipe J. Castillo Pérez | |
| Refereed Paper: | #109 | |
Abstract: | ||
| In this paper we use the method of discrete
hydrodynamic singularity and a condition on the velocity normal
component at the flow’s boundary in order to reduce the problem of
ideal liquid flow around arbitrarily positioned bodies to the solution
of an appropriate linear equations with a block matrix structure.
Having applied discretization in such a way that the resulting
system’s matrix boasts an implicit diagonal dominance, one can
establish the convergence of a block Jacobi iteration method to the
exact solution of the system. The algorithm’s efficiency is
illustrated by a sample computing of hydrodynamic pressure on the
ring blades of a hydraulic turbine.
Keywords-- Method of discrete hydrodynamic singularity, the implicit diagonal dominance, hydrodynamic charges. | ||