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Highlights • Spectral staggered space–time DG schemes for the incompressible Navier–Stokes equations. • Nodal tensor product basis allows to write the scheme as a sequence of simple 1D operators. • The staggered grid allows to obtain a pressure system with the minimum computational stencil. • The only unknown is the scalar pressure, the resulting system is symmetric and positive definite. • The pressure system can be solved by a matrix-free CG method without any preconditioner.

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This page is a summary of: Spectral semi-implicit and space–time discontinuous Galerkin methods for the incompressible Navier–Stokes equations on staggered Cartesian grids, Applied Numerical Mathematics, December 2016, Elsevier,
DOI: 10.1016/j.apnum.2016.07.014.
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