STABILITY OF MIXED TIME INTEGRATION SCHEMES FOR TRANSIENT THERMAL ANALYSIS
- 1 April 1982
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 5 (2), 211-222
- https://doi.org/10.1080/10407788208913444
Abstract
A current research topic in coupled-field problems is the development of effective transient algorithms that permit different time integration methods with different time steps to he used simultaneously in various regions of the problems. The implicit-explicit approach seems to be very successful in structural, fluid, and fluid-structure problems. This paper summarizes this research direction. A family of mixed time integration schemes, with the capabilities mentioned above, is also introduced for transient thermal analysis. A stability analysis and the computer implementation of this technique are also presented. In particular, it is shown that the mixed time implicit-explicit methods provide a natural framework for the further development of efficient, clean, modularized computer codes.Keywords
This publication has 11 references indexed in Scilit:
- Mixed-time implicit-explicit finite elements for transient analysisComputers & Structures, 1982
- EVALUATION OF FINITE-ELEMENT FORMULATIONS FOR TRANSIENT CONDUCTION FORCED-CONVECTION ANALYSISNumerical Heat Transfer, 1980
- Partitioned Transient Analysis Procedures for Coupled-Field Problems: Stability AnalysisJournal of Applied Mechanics, 1980
- Mixed time integration schemesComputers & Structures, 1979
- Mixed methods for time integrationComputer Methods in Applied Mechanics and Engineering, 1979
- Finite element analysis of incompressible viscous flows by the penalty function formulationJournal of Computational Physics, 1979
- Implicit-Explicit Finite Elements in Transient Analysis: Implementation and Numerical ExamplesJournal of Applied Mechanics, 1978
- Implicit-Explicit Finite Elements in Transient Analysis: Stability TheoryJournal of Applied Mechanics, 1978
- Finite-Element Methodology for Thermal Analysis of Convectively Cooled StructuresPublished by American Institute of Aeronautics and Astronautics (AIAA) ,1978
- Unconditionally stable algorithms for nonlinear heat conductionComputer Methods in Applied Mechanics and Engineering, 1977