Ahmad Shakibaeinia

    Assistant Professor

     Department of Civil, Geological and Mining Engineering

     Polytechnique Montreal





                                                                                                                                                                                                                                  EN / FR


High-performance robust mesh-free numerical models for multiphase flows

This research work involves the development and implementation of an innovative and revolutionary generation of numerical methods, the mesh-free Lagrangian (particle) methods, for high-performance simulation of complex multiphase and free surface  flow problems. Due to the ability of these methods in dealing with large interfacial deformations/fragmentations, these methods are expected to be a serious alternative for conventional mesh-based numerical methods in many environmental, geophysical and engineering applications. The primary focus is on the MPS (Moving Particle Semi-implicit) and SPH (smoothed Particle Hydrodynamics) methods. The research try to address:

  • Convergence, stability and accuracy

  • Boundary conditions

  • Multiphase implications (focus on multiphase granular, air-water and ice-water systems)

  • Performance and efficiency (massively parallel CPUs and GPUs implications)

  • Application to complex environmental and engineering flow systems

Following are the example applications of the developed models:

 3D dam-break wave hitting a structure

Turbulent flow over a rectangular sill

Vortex flow passing a column <click for animation>

Turbulent Slurry jet into still water <click for animation>


Two-phase dam-break wave

Two-phase oil-water flow in a separator


Two-phase sediment-water flow in mobile-bed dam break

Two-phase air-water interaction in hydraulic jump


   MPARS Open-source numerical solver

MPARS (Mesh-free PARticle Simulator) is an open-source mesh-free solver for simulation of fluid flows that I developed during the course of my PhD. The code is based on the MPS (Moving Particle Semi-implicit) method. Primarily it was to study free-surface open-boundary flow phenomena with large deformation of boundaries and interfaces where Eulerian methods (such as FEM and FVM) have difficulties. Later, the model was developed for Multiphase flow, non-Newtonian flow and Granular flow.  <CLICK HERE TO NAVIGATE TO MPARS PAGE>


Related publications:

  • Jafari-Nadoushan E., Shakibaeinia A., Hosseini K., Mousavi S. Meshless particle modelling of free surface flow over spillways. Journal of Hydroinformatics. 18(2), 354-370, 2016

  • Khanpour M, Zarrati AR Kolahdoozan M, Shakibaeinia A, Amirshahi S, Mesh-free SPH modeling of sediment scouring and flushing. Computer & Fluids 129:67-78, 2016

  • Shakibaeinia A., and Jin, Y.C. MPS mesh-free particle method for multiphase flows. Computer methods in Applied Mechanics and Engineering. 229-232: 13-26. 2012.

  • Shakibaeinia A., Mesh-free particle modelling of air-water interaction. In: Proc. of the 36th IAHR World Congress, June 2015, Netherlands.

  • Shakibaeinia A., and Jin, Y.C. Lagrangian multiphase modeling of sand discharge into still water. Advances in Water Resources. 48: 55-67. 2012.

  • Nazari, F., Jin, Y.C., and Shakibaeinia A., Numerical analysis of submerged hydraulic jump using moving particle semi-implicit method. Canadian Journal of Civil Engineering. 39(5): 495-505. 2012. (Editor's choice)

  • Shakibaeinia A., and Jin, Y.C. A mesh-free particle model for simulation of mobile bed dam-break. Advances in Water Resources. 34(6):794-80. 2011.

  • Shakibaeinia A., and Jin, Y.C. MPS based mesh-free particle method for open channel flow. Journal of Hydraulic Engineering ASCE. 137(11): 1375-1384. 2011.

  • Jabbari-Sahebari, A., Jin, Y.C., and Shakibaeinia A., Flow over sills by the mesh-free particle method. Journal of Hydraulic Research. 49(5):649-656. 2011.

  • Shakibaeinia A., and Jin, Y.C. A weakly compressible MPS method for modeling of open-boundary free-surface flows. International Journal for Numerical Methods in Fluids. 63 (10):1208-1232. 2010.

  • Shakibaeinia A., and Jin, Y.C. Mesh-free Lagrangian Modeling of Multiphase Flow In: 20th Annual Conference of the CFD Society of Canada, May 2012, Canmore, Canada.

  • Shakibaeinia A., and Jin, Y.C. A Mesh-free Particle Model for Shallow Waters. In: 3rd International Symposium on Shallow flows, June 2012, Iowa, USA.

  • Shakibaeinia A., and Jin, Y.C. Lagrangian Modeling of Flow over Spillways Using Moving Particle Semi-Implicit Method. In: Proceeding of 33rd IAHR Congress, 2009, Vancouver, Canada.

<Back To Research Page>

Research Interests

  • Environmental Hydraulics

  • Computational Fluid Mechanics and hydraulics (Main focus on mesh-free numerical methods)

  • Multiphase Flows (Multiphase granular flow and air-water interaction)

  • Granular flow and sediment dynamics

  • Fluvial and Coastal Mechanics (hydrodynamics, sediment transport and ice mechanics)

  • Cold-region hydraulics


Research works










2900, boul. Edouard-Montpetit
Campus de l'Universite de Montreal
2500, chemin de Polytechnique
Montreal (Quebec)
H3T 1J4


(514) 340-4711 Ext. 3927

ahmad.shakibaeinia [ AT ] polymtl.ca