Design and analysis of ALE schemes with provable second-order time-accuracy for inviscid and viscous flow simulations
- 10 October 2003
- journal article
- Published by Elsevier BV in Journal of Computational Physics
- Vol. 191 (1), 206-227
- https://doi.org/10.1016/s0021-9991(03)00311-5
Abstract
We consider the solution of inviscid as well as viscous unsteady flow problems with moving boundaries by the arbitrary Lagrangian-Eulerian (ALE) method. We present two computational approaches for achieving formal second-order time-accuracy on moving grids. The first approach is based on flux time-averaging, and the second one on mesh configuration time-averaging. In both cases, we prove that formally second-order time-accurate ALE schemes can be designed. We illustrate our theoretical findings and highlight their impact on practice with the solution of inviscid as well as viscous, unsteady, nonlinear flow problems associated with the AGARD Wing 445.6 and a complete F-16 configuration.Keywords
This publication has 21 references indexed in Scilit:
- Aeroelastic Dynamic Analysis of a Full F-16 Configuration for Various Flight ConditionsAIAA Journal, 2003
- Application of a three-field nonlinear fluid–structure formulation to the prediction of the aeroelastic parameters of an F-16 fighterComputers & Fluids, 2002
- The Discrete Geometric Conservation Law and the Nonlinear Stability of ALE Schemes for the Solution of Flow Problems on Moving GridsJournal of Computational Physics, 2001
- The discrete geometric conservation law and its effects on nonlinear stability and accuracyPublished by American Institute of Aeronautics and Astronautics (AIAA) ,2001
- On the significance of the geometric conservation law for flow computations on moving meshesComputer Methods in Applied Mechanics and Engineering, 2000
- On the implicit time integration of semi-discrete viscous fluxes on unstructured dynamic meshesInternational Journal for Numerical Methods in Fluids, 1999
- Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshesComputer Methods in Applied Mechanics and Engineering, 1999
- Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computationsComputer Methods in Applied Mechanics and Engineering, 1996
- Mixed explicit/implicit time integration of coupled aeroelastic problems: Three‐field formulation, geometric conservation and distributed solutionInternational Journal for Numerical Methods in Fluids, 1995
- An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactionsComputer Methods in Applied Mechanics and Engineering, 1982