An adaptive finite element method for the simulation of transient 3D compressible inviscid flow is presented. The method is based upon an arbitrary Lagrangian-Eulerian formulation implemented on unstructured hybrid meshes. The addition of a mesh adaptivity procedure allows for the simulation of transient problems involving moving boundaries. For large movements, local remeshing is applied. The solution is advanced in time implicitly employing multigrid acceleration where the coarse meshes are automatically generated by an agglomeration procedure. The improvements in computational efficiency that can be achieved are demonstrated by presenting results achieved for several industrially relevant cases.
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