Author(s): S. E. Mendi; C. Bayrak

Linked Author(s):

Keywords: Pipe Networks; Numerical Libraries; BLAS; LAPACK; Numerical Methods; Fortran

Abstract: The problem of finding the flow distribution in pipe networks occurs in the design of water distribution systems. Similar problems occur in connection with distribution systems for other fluids such as steam or air and with electrical circuits. In a computer implementation, a pipe network model is represented by a set of network data (values of parameters) and a set of equations (physical operation of the model). The fundamental model is formulated using the laws of physics. Subsequently, different models can be derived by mathematical manipulation. Real life software projects rely on the use of standard libraries to enable rapid development using established building blocks. In engineering, equation systems are often encountered and optimized numerical libraries are available that implement basic operations like matrix multiplication as well as advanced solvers. Along with physically simplified networks representing certain aspects of reality, neglecting other aspects with a smaller number of components than the original network, numerical computations become common practice. In this paper, first we form a mathematical model representing the physical system; second, we apply the numerical libraries BLAS and LAPACK for the solution and finally we post-process the results.

DOI:

Year: 2009