國立虎尾科技大學 |

Level Set Methods for Fluid-Structure Interaction

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Level Set Methods for Fluid-Structure Interaction/ by Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent.
Author:	Cottet, Georges-Henri.
other author:	Maitre, Emmanuel.
Description:	IX, 197 p. 70 illus., 59 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-031-08659-5
ISBN:	9783031086595

Level Set Methods for Fluid-Structure Interaction
Cottet, Georges-Henri.

Level Set Methods for Fluid-Structure Interaction[electronic resource] /by Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent. - 1st ed. 2022. - IX, 197 p. 70 illus., 59 illus. in color.online resource. - Applied Mathematical Sciences,2102196-968X ;. - Applied Mathematical Sciences,191.

1. Level Set methods and Lagrangian interfaces -- 2. Mathematical tools for continuum mechanics -- 3. Interaction of an incompressible fluid with an elastic membrane -- 4. Immersed bodies : the case of elastic bodies -- 5. Immersed bodies : the case of rigid bodies -- 6. Interaction between bodies by the Level Set method -- 7. Appendix -- 8. References. .

This monograph is devoted to the study of Eulerian models for fluid-structure interaction from the original point of view of level set methods. In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids. This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into the applications and performance of these models. Assuming background at the level of a Master’s degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers.

ISBN: 9783031086595

Standard No.: 10.1007/978-3-031-08659-5doiSubjects--Topical Terms:

527886
Mathematical models.

LC Class. No.: TA342-343

Dewey Class. No.: 003.3

Level Set Methods for Fluid-Structure Interaction
LDR:03091nam a22004335i 4500 001 1083021
003 DE-He213
005 20220910115751.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031086595 $9 978-3-031-08659-5
024 7 $a 10.1007/978-3-031-08659-5 $2 doi
035 $a 978-3-031-08659-5
050 4 $a TA342-343
072 7 $a PBWH $2 bicssc
072 7 $a TBJ $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBWH $2 thema
072 7 $a TBJ $2 thema
082 0 4 $a 003.3 $2 23
100 1 $a Cottet, Georges-Henri. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1357682
245 1 0 $a Level Set Methods for Fluid-Structure Interaction $h [electronic resource] / $c by Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a IX, 197 p. 70 illus., 59 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Applied Mathematical Sciences, $x 2196-968X ; $v 210
505 0 $a 1. Level Set methods and Lagrangian interfaces -- 2. Mathematical tools for continuum mechanics -- 3. Interaction of an incompressible fluid with an elastic membrane -- 4. Immersed bodies : the case of elastic bodies -- 5. Immersed bodies : the case of rigid bodies -- 6. Interaction between bodies by the Level Set method -- 7. Appendix -- 8. References. .
520 $a This monograph is devoted to the study of Eulerian models for fluid-structure interaction from the original point of view of level set methods. In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids. This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into the applications and performance of these models. Assuming background at the level of a Master’s degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers.
650 0 $a Mathematical models. $3 527886
650 0 $a Continuum mechanics. $3 527691
650 0 $a Numerical analysis. $3 527939
650 0 $a Mathematics—Data processing. $3 1365953
650 1 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
650 2 4 $a Continuum Mechanics. $3 1366663
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Computational Science and Engineering. $3 670319
700 1 $a Maitre, Emmanuel. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1357683
700 1 $a Milcent, Thomas. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1357684
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031086588
776 0 8 $i Printed edition: $z 9783031086601
776 0 8 $i Printed edition: $z 9783031086618
830 0 $a Applied Mathematical Sciences, $x 0066-5452 ; $v 191 $3 1254006
856 4 0 $u https://doi.org/10.1007/978-3-031-08659-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)