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Implicit Preconditioned Numerical Schemes for the Simulation of Three-Dimensional Barotropic Flows

Implicit Preconditioned Numerical Schemes for the Simulation of Three-Dimensional Barotropic Flows

Paperback

General Mathematics

ISBN10: 8876423109
ISBN13: 9788876423109
Publisher: Edizioni Della Normale
Published: Sep 12 2007
Pages: 206
Weight: 0.95
Height: 0.70 Width: 5.90 Depth: 9.40
Language: English

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 one-dimensional 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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General Mathematics