Numerical analysis of compressible fluid flows / Eduard Feireisl, Mária Lukáčová-Medvid'ová, Hana Mizerová, Bangwei She.
Feireisl, Eduard, author.; Lukáčová-Medvid'ová, Mária, author.; Mizerová, Hana, author.; She, Bangwei, author.
2021
TA357
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Numerical analysis of compressible fluid flows / Eduard Feireisl, Mária Lukáčová-Medvid'ová, Hana Mizerová, Bangwei She.
Author Feireisl, Eduard, author.
ISBN 9783030737887 (electronic bk.)
3030737888 (electronic bk.)
9783030737870 (print)
303073787X
DOI https://doi.org/10.1007/978-3-030-73788-7
Published Cham : Springer, 2021.
Language English
Description 1 online resource (lx, 482 pages) : illustrations (some color).
Other Standard Identifiers 10.1007/978-3-030-73788-7 doi
Call Number TA357
Dewey Decimal Classification 620.1/064
Summary 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 physicists. The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments. Applications of these concepts are to be expected in other problems of fluid mechanics and related fields.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 6, 2022).
Added Author Lukáčová-Medvid'ová, Mária, author.
Mizerová, Hana, author.
She, Bangwei, author.
Series MS&A (Series) ; v. 20. 2037-5263
Available in Other Form Print version: 9783030737870
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
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.

Browse Subjects

Show more subjects...

Statistics

from
to
Export