Using a Moving Mesh PDE for Cell Centres to Adapt a Finite Volume Grid

摘要

The paper is concerned with a grid adaptation approach based on a moving mesh partial differential equation. A method is proposed for discretizing this equation with a cell-centred finite volume method so that solution-dependent relocation of a fixed number of grid points without changing their topology becomes available as an attractive add-on for many finite volume solvers. Several interpolation strategies to determine appropriate cell corners from moved cell centre points are discussed and compared to each other. For a turbulent hill flow, numerical results are presented for two-dimensional adaptation based on an equidistribution of the gradient of the streamwise velocity and the production of turbulent kinetic energy.