Arbitrary unsteady motion demands a method that allows connectivity to change in time, whilst preserving accuracy and conservation. To achieve this, a mesh can be constructed in time as well as space, and this allows total flexibility; there are no restrictions on the type of motions that may be included, and the problem of mesh motion is replaced by mesh generation. Such a ‘space-time’ solver has been developed by the authors, and validated previously for a pitching aerofoil case. To extend this method, and make it applicable to entirely general problems, a cartesian cut-cell method has been developed, and is demonstrated here for creating space-time meshes in three dimensions, allowing arbitrary unsteady motion in two dimensions. This is demonstrated for cases involving aerofoils flying through a mesh and past obstacles in close proximity, which is accomplished in a fully conservative manner and to a level of accuracy consistent with what any equivalent steady simulation would be able to achieve.
|Translated title of the contribution||CFD simulation of arbitrary motion in two-dimensional spacetime using cut-cell meshes|
|Title of host publication||28th AIAA Applied Aerodynamics Conference, 28 June - 1 July 2010|
|Number of pages||11|
|Publication status||Published - Jun 2010|
Bibliographical noteName and Venue of Event: Chicago, Ill, USA
Conference Organiser: AIAA
Other identifier: AIAA-2010-4696