Christopher J. Subich, Kevin G. Lamb and Marek Stastna Simulation of the Navier–Stokes equations in three dimensions with a spectral collocation method International Journal for Numerical Methods in Fluids 73
This work describes a nonlinear, three-dimensional spectral collocation method for the simulation of the incompressible Navier–Stokes equations under the Boussinesq approximation. This model implements bottom topography via coordinate mapping, and it permits simulation of boundary-layer dynamics in environmental and geophysical flows. A geometric-multigrid based finite-difference preconditioner is used to ensure performance on parallel systems, giving resolution-independent convergence rates.
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