Flow Science Lab






Links & Jobs



  1. Tian, F., Coupled FSI dynamics, UNSW Canberra Silverstar Award 01/2018-12/2018, UNSW Canberra.
  2. Xu, Y. Q., Duan, J. Y., Deng, H. B. and Tian, F. B., FSI simulations of the navigation motion of sperm and the associated dynamic mechanism of the motor behavior regulation, 01/2018-12/2021, National Natural Science Foundation of China.
  3. Neely, A., Young, J., Tian, F., Lai, J., de Baar, J. and Wu, D., UNSW Canberra workshop on fluid-structure interaction, Research Workshop Scheme 2018, UNSW Canberra.
  4. Tian, F., Numerical simulations of bushfire and virtual artery surgery, SEIT Discovery Funds 06/2017-06/2019, UNSW Canberra.
  5. Tian, F., Coupled dynamics, UNSW Canberra Silverstar Award 01/2017-12/2017, UNSW Canberra.
  6. Tian, F., Novel modelling of fluid-structure interactions in biological flows, Discovery Early Career Researcher Award (DECRA) 01/2016-12/2018, Australian Research Council.
  7. Tian, F., Novel modelling of fluid-structure interactions in biological flows, UNSW Canberra top-up for ARC DECRA 01/2016-12/2018, UNSW Canberra.
  8. Tian, F., Collective behaviours of a large number of swimming sperms, Rector's Start-Up Grant, 2016, UNSW Canberra.
  9. Tian, F., Arteriovenous-graft-thrombosis prediction by advanced computational fluid dynamics, Early Career Researcher Grants Scheme 2016, UNSW Canberra.
  10. Sui, Y. and Tian, F., Rector Funded Visiting Fellow 2016, UNSW Canberra.
  11. Tian, F., Fluid dynamics and free-body movement in aquatic animal swimming, Early Career Researcher Grants Scheme 2015, UNSW Canberra.
  12. Tian, F., Numerical investigation of chemotaxis and separation of biological cells, Special Research Grants Program 2015, UNSW Canberra.
  13. Tian, F., Fluid-structure interactions and complex flows in biological and biomedical systems, National Computational Infrastructure (Project No. fu4).

Theories and numerical methods

  1. Classical theoretical methods such as complex analysis, linear superposition method and Duhamel integral etc.
  2. Numerical methods such as space-time finite element method, projection finite element method, immersed boundary-lattice Boltzmann method, immersed boundary-finite differential method and arbitrary Lagrangian-Eulerian etc.

Fluid-structure interaction in daily life

The fluid-structure interaction (FSI) is ubiquitous in nature: a flag flapping in the air, a parachute falling in the sky and, eel swimming in the water. The FSI describes the interaction a viscous compressible/incompressible fluid and a deformable body. Flying and swimming animals, such as insects and fish, typically possesses superb maneuverability in locomotion. The animals' agility allows themselves to quickly catch food, escape from enemies, or simply dance around gracefully. Why can they do that? The secret lies in their marvelous skills of manipulating the surrounding fluid with their body parts (e.g., wings, fins, and flexible body) and taking advantage of fluid-body interaction. Equipped with efficient two-/three-dimensional computational algorithms, we study dynamics of the viscous unsteady flow as well as the fluid-structure interaction, and investigate the physical mechanism behind the biological maneuvers.

Free swimming of fish: wavy tail and wavy surface propulsion.

Filament(s) in the flow.

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Three-dimensional vortex around a fish.

The fin deformation and the vortical structure for a viscous fluid past a dorsal fin.

A flag flapping in the fluid.

A hovering hummingbird.

Self-propulsion of a 2D sperm.

A turning sperm.

Fluid-structure Interaction involving multiphase flows, shockwaves and stracture damages

FSI involving shock wave.

FSI involving shock wave.

FSI involving structure damages.

FSI involving structure damages.

FSI in supersonic flow.

FSI involving structure damages.

Computational modeling of phonation

Voice is the basic sound generated in the larynx, and we use it in our daily life to produce speech etc. From a physical point of view, the voice generation process, phonation, is a result of the biomechanical interaction between air expelled from lungs and a pair of vocal folds in larynx. To date, much remains to be understood regarding the dynamics of glottal airflow and vocal folds. A computational model that describes the physics of phonation with both high fidelity and efficiency could complement experimental studies and help us understand the voice production process. Furthermore, it may also be used for examining certain voice pathologies, diagnosing and treating voice disorders. Below are some recent CFD simulations of the flow/ rabbit vocal fold dynamics using a Cartesian grid based immersed-boundary method.

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Fluid-induced vocal fold vibration. Up-left: surface grid; up-right: stress of vocal fold when closed; down-left: stress of vocal fold when opened; down-right: the complex flow structure.

Fluid-structure-sound interaction modelling

Fluid-structure-sound interaction (FSSI) is an important topic in many fields. Recently, we develop immersed-boundary method for FSSI and promote its applications.

Polar diagram of the fluctuation pressure peaks at different frequencies for rigid foil (left) and flexible foil (right).

Moving particles/cells in the channel and the sediment deposition

It is very important in the environmental science to study the particles and the sediment deposition in rives and lakes. In the life science, the bilogical cells, such red blood cells in the capillary vessel also can be taken as the particle flow.

The particles driven by gravity in the channel. The pressure(left) and stream function(right)

A red blood cell in a stenosed vessel (left) and cell separation in a pinched channel (right)

Non-Newtonian fluid

The non-Newtonian fluid flow is very common in the life sciences and chemical engineering, such as the Carreau-Yasuda fluid in flood model, the power law fluid in chemical engineering.

The simulation for lid-driven cavity flow(left) and biforked channel flow(right) with power-law fluid.

Convective-diffusion phenomenon

The convective-diffusion phenomena are very common in daily life, such as the thermal transformation in bio-tissue, the thermal transformation in the soil. We developed an immersed boundary method to solve the convective-diffusion equation with complex boundaries, which can be broadly used in the problems mentioned above.

The grid and thermal contour for a hot cylinder in a cavity.

Incompressible variable-density flow

A first-order projection FDM code has been developed to solver the incompressible variable-density flow. Here we present the Rayleigh-Taylor instability problem as the demonstration. We take the following book chapter as reference for set up: Chapter 18 'Variable Density Flows and Volume Tracking Methods' in High-Resolution Methods for Incompressible and Low-Speed Flows, Springer Berlin Heidelberg, 2006.

The density contour at t=3.5, 4.0, 5.0, 5.5.