Resources for solving fluid-structure interaction problems

I would like to get started solving Fluid-Structure interaction problems.

I already have some experience with Finite Elements, including my own MATLAB and Julia software packages for developing Finite Element programs, i.e., I can confidently approximate the solution to some basic 1D and 2D initial-boundary-value-problems using my code.

I am looking for resources (books or articles, or blog-posts, or any published material in general) that address issues related to the development of software for solving Fluid-Structure interaction problems. Can you make any suggestions?

• A possible next step would be to implement a Navier-Stokes solver – user21 Jun 15 '17 at 16:57
• That is something that I will probably do in the near future. I already have a solver for a (stationary) Stokes-flow in a lid-driven cavity boundary value problem ($\nu \Delta \textbf{u} + \frac{1}{\rho} \nabla p =\textbf{f}, \quad\nabla \cdot \textbf{u} = 0$). I also have a solver for a (dynamic) 1D dynamic Euler-Bernoulli beam ($EI \frac{\partial^4 w}{\partial x^4} = - \mu \frac{\partial^2 w}{\partial t^2} + f(x,t)$). I was thinking I could come up with a problem and solve it with a "partitioned approach" at first, since I already have these solvers. – amarney Jun 15 '17 at 17:12
• Particulate Stokes flow problems can be fun, and certainly have a wealth of literature backing them up; everything from theory to practice. – Spencer Bryngelson Jun 16 '17 at 1:39