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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.

Recent Advances in Numerical Methods and Computational Mathematics

Theory, Algorithms, and Applications in Science and Engineering

Eds. Priya Nair, Hans Müller

This edited volume brings together contributions from world-leading researchers on the forefront of numerical analysis and computational mathematics. The book covers finite element methods, spectral methods, iterative solvers, and high-performance computing techniques, with applications spanning fluid dynamics, structural mechanics, and quantum systems.

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