An algorithm for solving a generalized bernoulli equation
Date
6-1993
Degree
Bachelor of Science in Applied Mathematics
College
College of Arts and Sciences (CAS)
Adviser/Committee Chair
Rodolfo M. Castillo
Abstract
An explicit finite difference method had been widely used in solving a Bernoulli type equation with changing form of constitutive relations. The practical application is on simulating the pressure drop in the flow of water in a geothermal well. Though this numerical scheme is relatively easy to apply, the associated truncation errors and the rounding-off errors are relatively large, hence, unstable. This study outlines the development of a mixed implicit differencing-iterative refinement method for pressure drop simulation, along with a Newtonian iterative method for solving the resulting system of nonlinear equations at each refinement step. The method is validated against three family of equations with closed-form solutions. While this implicit formulation requires a dozen times more work than does the implicit one, it is shown to dramatically decrease the absolute errors and thus, to yield a more stable solution.
Language
English
Location
UPLB Main Library Special Collections Section (USCS)
Call Number
Thesis
Recommended Citation
Simangan, Romel L., "An algorithm for solving a generalized bernoulli equation" (1993). Undergraduate Theses. 10161.
https://www.ukdr.uplb.edu.ph/etd-undergrad/10161
Document Type
Thesis