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{ "item_title" : "Stable Numerical Schemes for Fluids, Structures and Their Interactions", "item_author" : [" Cornel Marius Murea "], "item_description" : "This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite element methods as well as new approaches.For Stokes and Navier-Stokes equations, the mixed finite element method is employed. An arbitrary Lagrangian Eulerian framework is used for fluids in a moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. For fluid-structure interaction, two schemes are analyzed: the first is fully implicit and the second is semi-implicit, where the fluid domain is computed explicitly and consequently the computational time is considerably reduced.The stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at Masters students in Mathematics or Mechanical Engineering.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/1/78/548/273/1785482734_b.jpg", "price_data" : { "retail_price" : "100.00", "online_price" : "100.00", "our_price" : "100.00", "club_price" : "100.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Stable Numerical Schemes for Fluids, Structures and Their Interactions|Cornel Marius Murea

Stable Numerical Schemes for Fluids, Structures and Their Interactions

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Overview

This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite element methods as well as new approaches.For Stokes and Navier-Stokes equations, the mixed finite element method is employed. An arbitrary Lagrangian Eulerian framework is used for fluids in a moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. For fluid-structure interaction, two schemes are analyzed: the first is fully implicit and the second is semi-implicit, where the fluid domain is computed explicitly and consequently the computational time is considerably reduced.The stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at Masters students in Mathematics or Mechanical Engineering.

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Details

  • ISBN-13: 9781785482731
  • ISBN-10: 1785482734
  • Publisher: Iste Press - Elsevier
  • Publish Date: September 2017
  • Page Count: 208

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