On the use of CORLIB subroutines for the solution of a model fluid flow problem
Abstract
This report describes the use of several subroutines from the CORLIB core mathematical subroutine library for the solution of a model fluid flow problem. The model consists of the Euler partial differential equations. The equations are spatially discretized using the method of pseudocharacteristics. The resulting system of ordinary differential equations is then integrated using the method of lines. The stiff ordinary differential equation solver LSODE (2) from CORLIB is used to perform the time integration. The nonstiff solver ODE (4) is used to perform a related integration. The linear equation solver subroutines DECOMP and SOLVE are used to solve linear systems whose solutions are required in the calculation of the time derivatives. The monotone cubic spline interpolation subroutines PCHIM and PCHFE are used to approximate water properties. The report describes the use of each of these subroutines in detail. It illustrates the manner in which modules from a standard mathematical software library such as CORLIB can be used as building blocks in the solution of complex problems of practical interest.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1986
 Bibcode:
 1986STIN...8720509T
 Keywords:

 Computerized Simulation;
 Fluid Flow;
 Integral Equations;
 Partial Differential Equations;
 Subroutines;
 Euler Equations Of Motion;
 Mathematical Models;
 Problem Solving;
 Fluid Mechanics and Heat Transfer