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Implicit Preconditioned Numerical Schemes for the Simulation of Three-Dimensional Barotropic Flows illustrated edition Edition
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ISBN
:
9788876423109
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Publisher
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Birkhauser Boston
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Subject
:
Encyclopaedias & Reference Works
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Binding
:
Paperback
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Year
:
2007
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2128.0
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Description
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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