Simulation of unsteady fluid motion with arbitrary boundary motion or topological change remains restricted due to mesh motion limitations, especially if numerical conservation is required. This work presents an updated interpretation of the fluid conservation laws in space and time that leads to a mesh philosophy that unifies space and time. This effectively replaces the problem of mesh motion with the problem of mesh generation, and since connectivity is no longer constant in time any motion or topological change may be simulated. Examples are given applying the method to a standard pitching aerofoil test case and an appearing/disappearing object to validate and then demonstrate the capability of the method. Results for the pitching case are accurate, and the appearing/disappearing object shows qualitatively correct behaviour.
|Title of host publication||48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition|
|Number of pages||13|
|Publication status||Published - Jan 2010|
Bibliographical noteName and Venue of Event: Orlando, Florida, USA
Other identifier: AIAA 2010-509
Rendall, TCS., & Allen, CB. (2010). Conservative unsteady simulation of arbitrary boundary deformation using spacetime meshes. In 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition