Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781725157903
Category :
Languages : en
Pages : 34
Book Description
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...
Application of the Hughes-Liu Algorithm to the 2-Dimensional Heat Equation
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781725157903
Category :
Languages : en
Pages : 34
Book Description
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...
Publisher: Createspace Independent Publishing Platform
ISBN: 9781725157903
Category :
Languages : en
Pages : 34
Book Description
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...
Application of the Hughes-LIU Algorithm to the 2-dimensional Heat Equation
Application of the Hughes-Liu Algorithm to the Two-dimensional Heat Equation
Author: David S. Malkus
Publisher:
ISBN:
Category : Heat
Languages : en
Pages : 146
Book Description
Publisher:
ISBN:
Category : Heat
Languages : en
Pages : 146
Book Description
Application of the Hughes-Liu Algorithm to the Two-dimensional Heat Equation
NASA Technical Paper
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 688
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 688
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Monthly Catalog of United States Government Publications
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 862
Book Description
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 862
Book Description
Studies of Implicit and Explicit Solution Techniques in Transient Thermal Analysis of Structures
Author: Howard M. Adelman
Publisher:
ISBN:
Category : Heat
Languages : en
Pages : 52
Book Description
Publisher:
ISBN:
Category : Heat
Languages : en
Pages : 52
Book Description
Monthly Catalogue, United States Public Documents
Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1054
Book Description
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1054
Book Description
An Implicit, Numerical Method for Solving the Two-dimensional Heat Equation
Author: George A. Baker
Publisher:
ISBN:
Category : Heat equation
Languages : en
Pages : 38
Book Description
Publisher:
ISBN:
Category : Heat equation
Languages : en
Pages : 38
Book Description