Semi-meshless stencil selection for anisotropic point distributions

Abstract

Meshless methods are attractive for simulating moving body problems. The selection of the stencils over the domain for the meshless solver is crucial for the method to be competitive with established computational fluid dynamics techniques. Stencil selection is relatively straightforward if the point distributions are isotropic in nature, however, this is rarely the case in computations that solve the Navier–Stokes equations. In this paper, a fully automatic method of selecting the stencils from anisotropic point distributions, which are obtained from overlapping structured grids, is outlined. The original connectivity and the concept of a resolving direction are used to help construct good quality stencils with limited user input.

Keywords:

• meshless
• stencil selection
• Euler equations
• Navier–Stokes equations
• moving body
• multibody systems

Acknowledgements

This research has been supported by the Engineering and Physical Sciences Research Council and BAE SYSTEMS.

Notes

1. It could be that these points now lie inside a boundary wall, they are still flagged as interior for now though, and will be blanked in the next step outlined in Section 3.2.2.