Semi-implicit DG methods for the incompressible Navier–Stokes equations on adaptive staggered grids

What is it about?

Highlights • Semi-implicit discontinuous Galerkin schemes on staggered space-time adaptive meshes (AMR). • Discrete pressure defined on the adaptive main grid using a cell-by-cell AMR framework. • Discrete velocity components defined on a set of face-based staggered dual grids. • Final discrete pressure system is symmetric and positive definite and has minimum stencil size. • Numerical flux functions are only needed for the nonlinear convective terms.

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