Numerical Analysis of Compressible Fluid Flows

By Eduard Feireisl

Part I Mathematics of compressible fluid flow: The state-of-the-art.- 1 Equations governing fluids in motion.- 2 Inviscid fluids: Euler system.- 3 Viscous fluids: Navier-Stokes-(Fourier) system.- Part II Generalized solutions to equations and systems describing compressible fluids.- 4 Classical and weak solutions, relative energy.- 5 Generalized weak solutions.- 6 Weak-strong uniqueness principle.- Part III Numerical analysis.- 7 Weak and strong convergence.- 8 Numerical methods.- 9 Finite volume method for the barotropic Euler system.- 10 Finite volume method for the complete Euler system.- 11 Finite volume method for the Navier-Stokes system.- 12 Finite volume method for the barotropic Euler system - revisited.- 13 Mixed finite volume - finite element method for the Navier-Stokes system.- 14 Finite difference method for the Navier-Stokes system.

• Format: Hardcover
• Language: English
• ISBN: 303073787X
• ISBN13: 9783030737870
• Release Date: December 2021
• Publisher: Springer
• Length: 482 Pages
• Weight: 2.06 lbs.
• Dimensions: 1.2" x 6.1" x 9.2"