{"product_id":"9780081023808","title":"Stable Numerical Schemes for Fluids, Structures and their Interactions","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003ePresents a self-contained monograph of schemes for fluid and elastic structures, including their interactions\u003c\/li\u003e\n\u003cli\u003eProvides a numerical analysis of schemes for Stokes and Navier-Stokes equations\u003c\/li\u003e\n\u003cli\u003eCovers dynamic linear and non-linear elasticity and fluid-structure interaction\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Elsevier Science","offers":[{"title":"Default Title","offer_id":47148454248688,"sku":"9780081023808","price":85.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780081023808_p0.jpg?v=1763638547","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780081023808","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}