Nicholas E. Wilson

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— We study an efficient finite element method for the NS-ω model, that uses van Cittert approximate deconvolution to improve accuracy and Scott-Vogelius elements to provide pointwise mass conservative solutions and remove the dependence of the (often large) Bernoulli pressure error on the velocity error. We provide a complete numerical analysis of the(More)
Local mass conservation is of great importance for accurate simulation of fluid flows, especially if the resulting velocity field is to be coupled to a transport equation. Previous work on simulation of saturated groundwater flows have used both mixed finite element methods and discontinuous Galerkin methods to achieve local mass conservation. However,(More)
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