LEADER 04157nam 22007455 450 001 9910592989903321 005 20240221140904.0 010 $a3-031-08659-7 024 7 $a10.1007/978-3-031-08659-5 035 $a(MiAaPQ)EBC7084551 035 $a(Au-PeEL)EBL7084551 035 $a(CKB)24819534400041 035 $a(DE-He213)978-3-031-08659-5 035 $a(PPN)264953894 035 $a(EXLCZ)9924819534400041 100 $a20220910d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLevel Set Methods for Fluid-Structure Interaction /$fby Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (203 pages) 225 1 $aApplied Mathematical Sciences,$x2196-968X ;$v210 311 08$aPrint version: Cottet, Georges-Henri Level Set Methods for Fluid-Structure Interaction Cham : Springer International Publishing AG,c2022 9783031086588 320 $aIncludes bibliographical references. 327 $a1. 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. . 330 $aThis monograph is devoted to the study of Eulerian models for fluid-structure interaction from the original point of view of level set methods. In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids. This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into the applications and performance of these models. Assuming background at the level of a Master?s degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers. 410 0$aApplied Mathematical Sciences,$x2196-968X ;$v210 606 $aMathematical models 606 $aContinuum mechanics 606 $aNumerical analysis 606 $aMathematics$xData processing 606 $aMathematical Modeling and Industrial Mathematics 606 $aContinuum Mechanics 606 $aNumerical Analysis 606 $aComputational Science and Engineering 606 $aModels matemātics$2thub 606 $aMecānica dels medis continus$2thub 606 $aAnālisi numčrica$2thub 608 $aLlibres electrōnics$2thub 615 0$aMathematical models. 615 0$aContinuum mechanics. 615 0$aNumerical analysis. 615 0$aMathematics$xData processing. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aContinuum Mechanics. 615 24$aNumerical Analysis. 615 24$aComputational Science and Engineering. 615 7$aModels matemātics 615 7$aMecānica dels medis continus 615 7$aAnālisi numčrica 676 $a624.171 700 $aCottet$b Georges-Henri$062828 702 $aMaitre$b Emmanuel 702 $aMilcent$b Thomas 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910592989903321 996 $aLevel set methods for fluid-structure interaction$93008883 997 $aUNINA