Adaptive finite elements for flow problems with moving boundaries. I - Variational principles and a posteriori estimates
Abstract
Transient flow problems with moving boundaries (such as incompressible viscous flows in ducts with time-variant boundaries and transient heat conduction over time-variant domains) are investigated analytically using self-adaptive finite-element methods with polynomial-enrichment strategies. Variational principles, a penalty formulation, space-time finite elements, and a posteriori error estimates are developed and applied to model flow and heat-transfer problems, and the results of numerical computations are presented in extensive tables and graphs.
- Publication:
-
Computer Methods in Applied Mechanics and Engineering
- Pub Date:
- October 1984
- DOI:
- 10.1016/0045-7825(84)90063-X
- Bibcode:
- 1984CMAME..46..217D
- Keywords:
-
- Boundary Value Problems;
- Calculus Of Variations;
- Computational Fluid Dynamics;
- Error Analysis;
- Finite Element Method;
- Computational Grids;
- Conductive Heat Transfer;
- Ducted Flow;
- Fluid-Solid Interactions;
- Incompressible Flow;
- Nonlinear Equations;
- Penalty Function;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer