Moving Shape Analysis and Control: Applications to Fluid Structure Interactions

ISBN-13: 9780367391287 / Angielski / Miękka / 2019 / 312 str.

Marwan Moubachir; Jean-Paul Zolesio

Opis

Presenting a mathematical analysis of problems related to the evolution of domains, this book provides various tools to handle moving domains on the levels of intrinsic definition, computation, optimization, and control. The authors address real-world engineering problems with applications to free surface flows, phase changes, fracture and contact problems, and fluid interaction problems in industrial settings. They emphasize the Eulerian approach through evolution and derivation tools for controlling fluids and systems, describe fluid control using Navier–Stokes equations, and feature new approaches to deal with boundary control fluid–structure interaction systems.

Spis treści

Introduction. An Introductory Example: The Inverse Stefan Problem. Weak Evolution of Sets and Tube Derivatives. Shape Differential Equation and Level Set Formulation. Dynamical Shape Control of the Navier–Stokes Equations. Tube Derivative in a Lagrangian Setting. Sensitivity Analysis for a Simple Fluid–Solid Interaction System. Sensitivity Analysis for a General Fluid–Structure Interaction System. Appendix A: Functional Spaces and Regularity of Domains. Appendix B: Distribution Spaces. Appendix C: The Fourier Transform. Appendix D: Sobolev Spaces. References. Index.

O autorze

Moubachir, Marwan; Zolesio, Jean-Paul