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AN EFFICIENT PROCEDURE FOR FINDING THE STEADY STATE SOLUTION OF CYCLIC, LINEAR, DISCRETE SYSTEMS

C. LOMBARD (Centre for Experimental and Numerical Thermoflow, Department of Mechanical Engineering, University of Pretoria, 0002 Pretoria, Republic of South Africa)
E.H. MATHEWS (Centre for Experimental and Numerical Thermoflow, Department of Mechanical Engineering, University of Pretoria, 0002 Pretoria, Republic of South Africa)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 January 1992

Abstract

A general numerical method for finding the steady state solution of a cyclic system is presented. The method determines the initial values by enforcing the conditions of periodicity. In this way the initial value is found by integrating through only one cycle, often resulting in a considerable saving of computing effort. The method is applicable to any linear discrete set of difference equations with periodic parameters and forcing functions. The application of the method to a single pole representation of heat flow in buildings is demonstrated.

Keywords

Citation

LOMBARD, C. and MATHEWS, E.H. (1992), "AN EFFICIENT PROCEDURE FOR FINDING THE STEADY STATE SOLUTION OF CYCLIC, LINEAR, DISCRETE SYSTEMS", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 2 No. 1, pp. 87-93. https://doi.org/10.1108/eb017482

Publisher

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MCB UP Ltd

Copyright © 1992, MCB UP Limited