About me

I am currently a PhD candidate at Department of Energy and Processes Engineering, Norwegian University of Science and Technology. I am working under supervision of Prof. Bernhard Müller and Dr. Martin Larsson.

Prior to beginning my PhD research I received the BSc degree in Mechanical Engineering/Heat and Fluids from University of Mazandaran in 2009, and the MSc degree in Mechanical Engineering/Energy Conversion from Babol University of Technology in 2013.

I love learning everything related to fluid mechanics and Computational Fluid Dynamics (CFD). When I am not studying fluids, I like reading literature and philosophy. There is a wealth of knowledge to be gained from them. I really love persian poetry. By reading poems of persian poets, I can gain wisdom for living a better life.

Research area

The title of my PhD project is “Mathematical Modeling of Fluid-Structure Interaction (FSI)”. My Project is part (WP3) of a larger research project entitled “Modeling of obstructive sleep apnea by fluid-structure interaction in the upper airways”. This research study is motivated by the intention to further understand upper airway dynamics aiming to explore computational modelling as a tool in diagnosis and treatment of Obstructive Sleep Apnea Syndrome (OSAS).

Similiar Fluid Structure Interaction models have successfully been employed in our research group to model the self-sustained oscillating interaction between the vocal folds and the expiratory airflow in the vocal tracts.


Obstructive sleep apnea syndrome (OSAS), a primary type of sleep disordered breathing, affects an estimated 2-4% of the adult working population.

You can find the difference between Snoring and Obstructive Sleep Apnea here.

Research plans

My reserach focuses are to expand a high order finite difference method to FSI of the soft palate in the pharynx, and to develop the method for FSI with large deformations. The main goals are detailed below.

  • To develop a multi-block approach to decompose the computational domain and implement Message Passing Interface (MPI) into the code existing in our research group to increase the geometric flexibility for OSAS modeling and to take advantage of parallelization.
  • To extend a high order finite difference method based on the arbitrary Lagrangian-Eulerian (ALE) approach to fluid-structure interaction (FSI) of a simplified model of the soft palate in the pharynx.
  • To develop an immersed boundary method (IBM) for FSI with large deformations of the soft palate in the pharynx in order to reduce the computational cost of the moving mesh and to improve the poor quality of the grids which are compressed or distorted by deformable structures.
  • To study basic biomechanical mechanisms of OSAS using the simplified model.
  • To provide accurate results of FSI with a simplified OSAS model for the verification of commercial software employed at SITNEF Materials and Chemistry.


Journal and conference papers

  • M. Khalili, M. Larsson, B. Müller; "Computational study of flow-induced oscillation of a simplified soft palate"; VII International Conference on Coupled Problems in Science and Engineering; 12-14 June, Rhodes Island, Greece; (Proceedings).

  • M. Khalili, M. Larsson, B. Müller; "Immersed boundary method for the compressible Navier-Stokes equations using high order summation-by-parts difference operators" ; 12th International Conference on Computational Fluid Dynamics In the Oil & Gas, Metallurgical and Process Industries ; May 30th - June 1st 2017, Trondheim, Norway ; (Proceedings).

  • M. Khalili, M. Larsson, B. Müller; "Interaction between a simplified soft palate and compressible viscous flow"; Journal of Fluids and Structures ; Vol. 67, pp. 85–105, 2016. (DOI)

  • M. Khalili, H. Yahyazadeh, M. Gorji-Bandpy, D.D. Ganji; "Aplication of Volume of Fluid Method for simulation of a droplet impacting a fiber"; Propulsion and Power Research ; Vol. 5, No. 2, pp. 123–133, 2016. (DOI)

  • H. Yahyazadeh, M. T. Khalili, D. D. Ganji, M. Gorji-Bandpy, "Simulation of falling droplet applying Volume of Fluid Method"; International Journal of Nonlinear Dynamics in Engineering and Sciences (IJNDES); Vol. 5 No. 1, pp. 115–120, 2013.

  • Hossein YAHYAZADEH, Davood Domairry GANJI, Arash YAHYAZADEH, MohammadTaghi KHALILI, Payam JALILI, and Mohsen JOUYA; "Evaluation of natural convection flow of a nanofluid over a linearly stretching sheet in the presence of magnetic field by the differential transformation method"; THERMAL SCIENCE ; Vol. 16, No. 5, pp. 1381-1387, 2012. (PDF)

  • Arash Yahyazadeh, Hossein Yahyazadeh, Mohammadtaghi Khalili, Milad Malekzadeh; "Analytical Solution of Two-Dimensional Viscous Flow between Slowly Expanding or Contracting Walls with Weak Permeability"; The Journal of Mathematics and Computer Science ; Vol .5 No.4, pp. 331-336, 2012. (PDF)

  • Mofid Gorji-Bandpy, Hossein Yahyazadeh-Jelodar, and Mohammadtaghi Khalili; "Optimization of heat exchanger network"; Applied Thermal Engineering; Vol. 31, No. 5, pp. 779–784, 2011. (DOI)

  • D. D. Ganji, M. Sheikholeslami, H. Yahyazadeh, M. Khalili, H. R. Ashorinejad; "The new method for solution of nonlinear differential equations arising in convective straight fins with temperature dependent thermal conductivity"; International Journal of Nonlinear Dynamics in Engineering and Sciences (IJNDES); Vol. 3, No. 1, pp. 63–71, 2011.


  • Office

  • Kølbjorn Hejes vei 2, Strømningsteknisk (Fluid Engineering Building) , room 111

    NO-7491 Trondheim, Norway .

  • Email

  • mohammadtaghi.khalili@ntnu.no