Wright, A.M. and Turnock, S.R.
Convective cell approach for solving incompressible Euler flows: explicit flux vector splitting scheme using artificial compressibility. Southampton, UK, University of Southampton, 82pp.
(Ship Science Reports, 117).
Artificial compressibility has been used to model three dimensional steady state incompressible fluid flow. The numerical scheme applies the finite volume method to the Euler equations via multi-stage explicit time integration and flux vector splitting spatial discretisation. To allow the modelling of complex geometries arbitrary polyhedra control volumes have been used, defined by connectivity of geometrical entities. In addition moving meshes are allowed and the provision for adaptive meshing is provided. Solutions of flow over a two dimensional hump and around a Wigley hullform have produced acceptable convergence histories but are as yet unvalidated as to their accuracy. Ongoing work includes the validation of data, the imposition of a free surface boundary and the ability to model unsteady flow.
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