LEADER 03418cam a2200421Ii 4500001 99126222040106421 005 20240502072602.0 008 220518t20222022sz ad b 000 0 eng d 020 3031086589 |qhardcover 020 9783031086588 |qhardcover 020 |z9783031086595 |qelectronic book 035 (OCoLC)on1317833515 040 YDX |beng |erda |cYDX |dEAU |dOHX |dUKMGB |dOCLCF |dYDX |dBDX 050 4 QC173.4.I57 |bC67 2022 082 04 518/.64 |223/eng/20221114 100 1 Cottet, G.-H. |q(Georges-Henri), |d1956- |eauthor. 245 10 Level set methods for fluid-structure interaction / |cGeorges-Henri Cottet, Emmanuel Maitre, Thomas Milcent. 264 1 Cham, Switzerland : |bSpringer, |c[2022] 264 4 |c©2022 300 ix, 197 pages : |billustrations (some color), charts (some color) ; |c25 cm. 336 text |btxt |2rdacontent 337 unmediated |bn |2rdamedia 338 volume |bnc |2rdacarrier 490 1 Applied mathematical sciences, |x2196-968X ; |vvolume 210 504 Includes bibliographical references (pages 191-197). 505 0 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 in a fluid: the case of elastic bodies -- 5. Immersed bodies in incompressible fluids: the case of rigid bodies -- 6. Computing interactions between solids by level set methods -- 7. Annex -- Credits of figures reproduced with permission -- References. 520 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--back cover. 540 Current copyright fee: GBP19.00 |c42\0. |5Uk 650 0 Level set methods. 650 0 Fluid-structure interaction. 650 7 Fluid-structure interaction. |2fast |0(OCoLC)fst00928031 650 7 Level set methods. |2fast |0(OCoLC)fst00996962 700 1 Maitre, Emmanuel, |eauthor. 700 1 Milcent, Thomas, |eauthor. 830 0 Applied mathematical sciences (Springer-Verlag New York Inc.) ; |vvolume 210. |x2196-968X 902 000088300 |wcopy |120221205095241.0 914 (OCoLC)on1317833515 |bOCoLC |cmatch |d20240501 |eprocessed |f1317833515 956 |31850-9999 |uhttp://link.springer.com/ |xBLDSS