## Introduction

Fluid-structure interaction (FSI) problems are important in many areas of engineering and applied science such as modeling of blood flow, flow-induced vibrations of structures, and wave energy devices, and there is significant interest in numerical simulation tools for such problems. Conjugate heat transfer (CHT) also plays an important role in many FSI simulations such as the cooling of turbine blades, heat exchangers, nuclear reactors, semiconductor devices, etc. In this research project, we aim to build upon our recent work in this area to develop stable partitioned algorithms for new classes of FSI problems that also include CHT effects. The faculty and students working on this project will address the development of high-order accurate schemes for these FSI-CHT problems. High-order schemes are especially useful for wave-dominated regimes such as high-Reynolds number turbulent flows and propagation of elastic waves. At the same time, achieving high-order accurate interface coupling approaches for partitioned schemes presents numerous intellectual and numerical challenges.

## Affiliated Researchers

Current Graduate Research Assistants:

- Kamala Liu
- Arthur Newell
- Sijia Huang
- Nour Al Hassanieh

Past Graduate Research Assistants:

- Fanlong Meng (now at COMSOL)
- Dan Serino (now at Applied Research in Acoustics)

Past Postdoctoral Research Fellows:

- Longfei Li (now at University of Louisiana, Lafayette)
- Qi Tang (now at Los Alamos National Laboratory)

## Funding Sources

- Division of Mathematical Sciences (DMS), National Science Foundation (NSF).

## Resources

Recent publications:

- D.A. Serino, J.W. Banks, W.D. Henshaw and D.W. Schwendeman,
*A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow: Model problem analysis*, SIAM J. Scientific Computing, 41 (2019), A2464-A2484. - D.A. Serino, J.W. Banks, W.D. Henshaw and D.W. Schwendeman,
*A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow*, J. Computational Physics, 399 (2019), 108923. - J.W. Banks, W.D. Henshaw, D.W. Schwendeman and Qi Tang,
*A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions*, J. Computational Physics,**373**(2018), 455-492. - F. Meng, J.W. Banks, W.D. Henshaw and D.W. Schwendeman,
*CHAMP: A stable and accurate partitioned algorithm for conjugate heat transfer*, J. Computational Physics,**344**(2017), 51-85. - L. Li, W.D. Henshaw, J.W. Banks, D.W. Schwendeman and G.A. Main,
*A stable partitioned FSI algorithm for incompressible flow and deforming beams*, J. Computational Physics,**312**(2016), 272-306.

Websites:

- Software, documentation and publications: overtureframework.org