TL;DRAbstract
In this thesis, we present an analysis of Bernoulli's equation in LES turbulence models. This analysis can be employed for prediction of Lift. Our approach is based on studying thevariation of the Bernoulli pressure in an infinit, inviscid, and incompressible flow along streamlines in different LES models. We prove Bernoulli pressure is constant for Zeroth Order Model(ZOM) and alpha model. However for Leray Regularization and Bardina Model, the Bernoullipressure is likely not constant. We show that Zeroth Order Model and alpha model conserveBernoulli pressure and by our simulation we demonstrate how a very small frictional force inthe fluid can have a major effect on the flow properties i.e. in a different setting of the kinematic viscosity parameter, we observe an approximate conservation of the Bernoulli pressure.
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In this thesis, we present an analysis of Bernoulli's equation in LES turbulence models. This analysis can be employed for prediction of Lift. Our approach is based on studying thevariation of the Bernoulli pressure in an infinit, inviscid, and incompressible flow along streamlines in different LES models. We prove Bernoulli pressure is constant for Zeroth Order Model(ZOM) and alpha model. However for Leray Regularization and Bardina Model, the Bernoullipressure is likely not constant. We show that Zeroth Order Model and alpha model conserveBernoulli pressure and by our simulation we demonstrate how a very small frictional force inthe fluid can have a major effect on the flow properties i.e. in a different setting of the kinematic viscosity parameter, we observe an approximate conservation of the Bernoulli pressure.
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