Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781725157903
Total Pages : 34 pages
Book Rating : 4.1/5 (579 download)
Book Synopsis Application of the Hughes-Liu Algorithm to the 2-Dimensional Heat Equation by : National Aeronautics and Space Administration (NASA)
Download or read book Application of the Hughes-Liu Algorithm to the 2-Dimensional Heat Equation written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: An implicit explicit algorithm for the solution of transient problems in structural dynamics is described. The method involved dividing the finite elements into implicit and explicit groups while automatically satisfying the conditions. This algorithm is applied to the solution of the linear, transient, two dimensional heat equation subject to an initial condition derived from the soluton of a steady state problem over an L-shaped region made up of a good conductor and an insulating material. Using the IIT/PRIME computer with virtual memory, a FORTRAN computer program code was developed to make accuracy, stability, and cost comparisons among the fully explicit Euler, the Hughes-Liu, and the fully implicit Crank-Nicholson algorithms. The Hughes-Liu claim that the explicit group governs the stability of the entire region while maintaining the unconditional stability of the implicit group is illustrated. Malkus, D. S. and Reichmann, P. I. and Haftka, R. T. Unspecified Center NASA-CR-3599, NAS 1.26:3599 NAG1-224; NSG-1266...