Name
Title | ||
|---|---|---|
Three dimensional fluid-structure interaction under pulsatile flow by using distributed Lagrange multiplier method |
Abstract | ||
|---|---|---|
In this article we discuss an application of a Lagrange multiplier based fictitious domain method for the simulation of moving leaflets in an unsteady flow generated by pressure gradients during the systolic phase of the cardiac cycle in three dimensional geometry. The mathematical model includes the Navier-Stokes equations coupled with the Euler-Newton equations describing fluid-structure interaction for the generalized Neumann boundary conditions on upstream and downstream boundaries. The solution method includes the finite element method combined with an operator-splitting scheme, where the fictitious formulation allows the flow calculations to be in a fixed rectangular parallelepiped to predict the dynamic structural positions and flow field during the valve opening and closing phases. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.mcm.2010.07.009 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
fluid–structure interaction,finite element method,unsteady flow,fictitious domain method,navier-stokes equation,lagrange multiplier,distributed lagrange multiplier method,flow field,fictitious formulation,pulsatile flow,lagrange multiplier method,solution method,flow calculation,dimensional fluid-structure interaction,cardiac cycle,mathematical model,neumann boundary condition,pressure gradient,three dimensional | Boundary value problem,Mathematical optimization,Lagrange multiplier,Mathematical analysis,Fictitious domain method,Finite element method,Neumann boundary condition,Euler equations,Mathematics,Parallelepiped,Fluid–structure interaction | Journal |
Volume | Issue | ISSN |
53 | 1-2 | Mathematical and Computer Modelling |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Arati Nanda Pati | 1 | 3 | 1.47 |
| Kehinde Ladipo | 2 | 0 | 0.34 |
| David Paniagua | 3 | 1 | 0.71 |
| Roland Glowinski | 4 | 188 | 50.44 |