Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries

S. Popinet (1)

1 NIWA - National Institute of Water and Atmospheric Research [Wellington]

An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented. The domain is spatially discretised using quad/octrees and a multilevel Poisson solver is used to obtain the pressure. Complex solid boundaries are represented using a volume-of- uid approach. Second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids. The quad/octree discretisation proves to be very exible and allows accurate and efficient tracking of ow features. The source code of the method implementation is freely available.

Domaines: Mécanique des fluides [physics.class-ph]

S. Popinet. Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries. Journal of Computational Physics, 2003, 190 (2), pp.572-600. ⟨10.1016/S0021-9991(03)00298-5⟩. ⟨hal-01445436⟩