|
Showing 1 - 2 of
2 matches in All Departments
This monograph discusses modeling, adaptive discretisation
techniques and the numerical solution of fluid structure
interaction. An emphasis in part I lies on innovative
discretisation and advanced interface resolution techniques. The
second part covers the efficient and robust numerical solution of
fluid-structure interaction. In part III, recent advances in the
application fields vascular flows, binary-fluid-solid interaction,
and coupling to fractures in the solid part are presented. Moreover
each chapter provides a comprehensive overview in the respective
topics including many references to concurring state-of-the art
work. Contents Part I: Modeling and discretization On the
implementation and benchmarking of an extended ALE method for FSI
problems The locally adapted parametric finite element method for
interface problems on triangular meshes An accurate Eulerian
approach for fluid-structure interactions Part II: Solvers
Numerical methods for unsteady thermal fluid structure interaction
Recent development of robust monolithic fluid-structure interaction
solvers A monolithic FSI solver applied to the FSI 1,2,3 benchmarks
Part III: Applications Fluid-structure interaction for vascular
flows: From supercomputers to laptops Binary-fluid-solid
interaction based on the Navier-Stokes-Cahn-Hilliard Equations
Coupling fluid-structure interaction with phase-field fracture:
Algorithmic details
Fluid-structure interaction problems arise in many application
fields such as flows around elastic structures or blood flow
problems in arteries. One method for solving such a problem is
based on a reduction to an equation at the interface, involving the
so-called Steklov-Poincare operators. This interface equation is
solved by a Newton iteration for which directional derivatives with
respect to the interface perturbation have to be evaluated
appropriately. One step of the Newton iteration requires the
solution of several decoupled linear sub-problems in the structure
and the fluid domains. These sub-problems are spatially discretized
by a finite element method on hybrid meshes containing different
types of elements. For the time discretization implicit first order
methods are used. The discretized equations are solved by algebraic
multigrid methods for which a stabilized coarsening hierarchy is
constructed in a proper way.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.