C. Farhat et al., MIXED EXPLICIT IMPLICIT TIME INTEGRATION OF COUPLED AEROELASTIC PROBLEMS - 3-FIELD FORMULATION, GEOMETRIC CONSERVATION AND DISTRIBUTED SOLUTION/, International journal for numerical methods in fluids, 21(10), 1995, pp. 807-835
A three-field arbitrary Lagrangian-Eulerian (ALE) finite element/volum
e formulation for coupled transient aeroelastic problems is presented.
The description includes a rigorous derivation of a geometric conserv
ation law for flow problems with moving boundaries and unstructured de
formable meshes. The solution of the coupled governing equations with
a mixed explicit (fluid)/implicit (structure) staggered procedure is d
iscussed with particular reference to accuracy, stability, distributed
computing, I/O transfers, subcycling and parallel processing. A gener
al and flexible framework for implementing partitioned solution proced
ures for coupled aeroelastic problems on heterogeneous and/or parallel
computational platforms is described. This framework and the explicit
/implicit partitioned procedures are demonstrated with the numerical i
nvestigation on an iPSC-860 massively parallel processor of the instab
ility of flat panels with infinite aspect ratio in supersonic airstrea
ms.