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

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.

Riassunto

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.

Dettagli sul prodotto

• Autori: Edoardo Sinibaldi
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 04.04.2008
• EAN: 9788876423109
• ISBN: 978-88-7642-310-9
• Pagine: 206
• Peso: 446 g
• Illustrazioni: XVII, 206 p.
• Serie: Publications of the Scuola Normale Superiore; Theses (Scuola Normale Superiore); Publications of the Scuola Nor; Publications of the Scuola Nor; Publications of the Scuola Normale Superiore; Theses (Scuola Normale Superiore)
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra; B, Mathematics and Statistics, Numerical analysis, Maths for engineers, Mathematical modelling, Mathematical Modeling and Industrial Mathematics, Mathematical models, barotropic flow;numerical analysis;numerical scheme