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.

Summary

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.

Product details

• Authors: Edoardo Sinibaldi
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 04.04.2008
• EAN: 9788876423109
• ISBN: 978-88-7642-310-9
• No. of pages: 206
• Weight: 446 g
• Illustrations: XVII, 206 p.
• Series: 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)
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, 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