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

  • Book
  • © 2007

Overview

  • A real, challenging industrial problem is addressed by hierarchically solving simpler issues, while keeping the formulation rather general
  • Novel, fully compressible approach for the simulation of cavitating flows
  • Self-contained presentation of the relevant mathematical and numerical ingredients
  • Presents a constructive procedure for defining exact benchmarks

Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 3)

Part of the book sub series: Theses (Scuola Normale Superiore) (TSNS)

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Keywords

  • barotropic flow
  • numerical analysis
  • numerical scheme

About this book

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.

Authors and Affiliations

  • Scuola Normale Superiore di Pisa, Pisa, Italy

    Edoardo Sinibaldi

Bibliographic Information

  • Book Title: Implicit preconditioned numerical schemes for the simulation of three-dimensional barotropic flows

  • Authors: Edoardo Sinibaldi

  • Series Title: Publications of the Scuola Normale Superiore

  • Publisher: Edizioni della Normale Pisa

  • Copyright Information: Edizioni della Normale 2007

  • Softcover ISBN: 978-88-7642-310-9Published: 12 September 2007

  • Series ISSN: 2239-1460

  • Series E-ISSN: 2532-1668

  • Edition Number: 1

  • Number of Pages: XVII, 206

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