Implicit preconditioned numerical schemes for the simulation of three-dimensional barotropic flows Zoom

Edoardo Sinibaldi

Implicit preconditioned numerical schemes for the simulation of three-dimensional barotropic flows

pp. ix-206

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By starting from a specific industrial problem related to the propellant flow within a liquid propellant rocket engine, a numerical method for simulating three-dimensional, generic barotropic flows in rotating frames is developed. A novel finite volume compressible approach for unstructured grids is proposed, suitably preconditioned for accurately dealing with nearly-incompressible flows; the time-advancing is performed by a novel, generic, linearized implicit scheme. A constructive procedure for solving the onedimensional Riemann problem associated with a generic convex barotropic state law is presented as well. All the proposed numerical ingredients are validated against one-dimensional exact solutions or three-dimensional experimental data related to complex, industrial flows also involving cavitation phenomena.

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Title Implicit preconditioned numerical schemes for the simulation of three-dimensional barotropic flows
Author (display) Edoardo Sinibaldi
Editing/translations No
ISBN 978-88-7642-310-9
Publishing year 2007
Subject Matematica e storia della matematica
Buy link http://www.springer.com/birkhauser/mathematics/scuola+normale+superiore/book/978-88-7642-310-9
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