Numerical Analysis of Compressible Fluid Flows /

This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and...

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Bibliographic Details
Main Authors:	Feireisl, Eduard (Author), Lukáčová-Medviďová, Mária (Author), Mizerová, Hana (Author), She, Bangwei (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2021.
Edition:	1st ed. 2021.
Series:	MS&A, Modeling, Simulation and Applications, 20
Subjects:	Mathematical analysis. Mathematics-Data processing. Analysis. Computational Mathematics and Numerical Analysis. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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.