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The parallelisation of the least-squares spectral element formulation of the Stokes problem is discussed for incompressible flow problems on unstructured grids. The method leads to a large symmetric positive definite algebraic system, that is solved iteratively by the conjugate gradient method. To improve the convergence rate, both Jacobi and Additive Schwarz preconditioners are applied. Numerical...
In this paper the extension of the Legendre least-squares spectral element formulation to Chebyshev polynomials will be explained. The new method will be applied to the incompressible Navier–Stokes equations and numerical results, obtained for the lid-driven cavity flow at Reynolds numbers varying between 1000 and 7500, will be compared with the commonly used benchmark results. The new results reveal...
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