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High-Order Spectral Methods for Incompressible Navier-Stokes Equations
Amara Patel, Ravi Sharma
In: Recent Advances in Numerical Methods and Computational Mathematics
This chapter presents high-order spectral element discretizations for the incompressible Navier-Stokes equations. We introduce a novel pressure-velocity coupling strategy that ensures inf-sup stability while maintaining spectral accuracy. The method is validated on Taylor-Green vortex and lid-driven cavity benchmark problems at moderate Reynolds numbers.