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- W3129120634 abstract "In this text I will investigate steady single layer flow over an obstacle of which the height willbe increased slowly to see what this does to the solutions and eigenvalues of the model. Ifthe obstacle is not too high we will have completely subcritical flow. However, at a certainheight the flow may become supercritical.First I will introduce the basic equations for this problem. These will be derived fromthe Navier-Stokes equations. Using some assumptions and simplifications we arrive at theequations for our specific problem. After that I will derive the analytical solution to thelinearized equations and look at what this solution can learn us about the transition fromsub- to supercritical flow. This means we will look at the eigenvalue problem for a perturbationof the linear equations.Furthermore we take a look at the model that we need for the numerical analysis and whatmethods are used. We can come up with an eigenvalue problem related to the discretizedequations and this is important for the numerical research. After that I will investigatenumerical solutions of the equations and look what happens with the eigenvalues when we gofrom sub- to supercritical flow" @default.
- W3129120634 created "2021-02-15" @default.
- W3129120634 creator A5050805277 @default.
- W3129120634 date "2008-01-01" @default.
- W3129120634 modified "2023-09-27" @default.
- W3129120634 title "Continuation of a single layer flow over an obstacle" @default.
- W3129120634 hasPublicationYear "2008" @default.
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