M4 Dynamics Inc.

M4Dynamics Inc. logo

Based in Toronto, M4Dynamics™ is a software development and consulting company. We specialize in simulation analyses pertaining to solution thermodynamics and multiphysics, the design of customized COMSOL® applications and models, and COMSOL Multiphysics® training.

Utilizing our extensive experience in process simulation, we work closely with our clients to deliver high-quality and highly specialized simulation solutions – all while ensuring fast turn-around times.

Available Services


We offer a variety of services to our clients, including:

  • Coupled thermodynamic and multiphysics simulations
    • Creating numerical simulations of realistic problems for R&D and industrial-based applications
    • When dealing with multicomponent multiphase nonideal systems, for instance, we solve problems by incorporating the necessary calculations for solution thermodynamics
  • Custom simulation applications
  • Custom physics models
  • Thermodynamic database development
    • We have an input thermodynamic database file that contains a basic database of pure or stoichiometric compounds, enabling the successful simulation of complex thermochemical systems
  • Training opportunities
    • We offer COMSOL Multiphysics and M4 Dynamics Inc. product training in a scheduled class environment or in one-on-one training sessions, as needed

Specialized Markets


At M4 Dynamics Inc., our team shares more than 15 years of experience with industries such as:

  • Chemical processing
  • Extractive metallurgy
  • Mining


Featured COMSOL Multiphysics Projects


  • Projects featured at past COMSOL Conferences:
    • T. Marin-Alvarado, "Combining Multiphysics Modeling and Solution Thermodynamics Using M4Dlib, an External Library", COMSOL Conference 2015 Boston.
    • T. Marin, “Solidification of a liquid metal droplet impinging on a cold surface”, COMSOL Users Conference 2006, Boston, USA, Ed. Jeri’Ann Hiller, pp. 391-398, 2006.
    • T. Marin and T. Utigard, “Surface Tension Driven Flow During Oxygen Top Blowing of Liquid Copper”, Proceedings of the COMSOL Multiphysics International Conference 2005, Ed. Jeri’Ann Hiller, Cambridge, Massachusetts, USA, pp. 165-170, 2005.
  • Projects referencing and utilizing COMSOL Multiphysics:
    • T. Utigard, T. Marin, A. Warczok, R.A. Bergman, M. Barati, C. Diaz, “Energy Recovery from High Temperature Steel, Copper and Nickel Smelter Slags”, in Conference of Metallurgists 2011, Montreal, QC, 2011.
    • T. Marin, “Numerical Modelling of Free Surface Flow Problems with Phase Change- Three Phase Flows”, Chapter 9 in Multiphysics Modelling with Finite Element Methods, World Scientific, London, 2006, pp. 297-308.
    • T. Marin, T. Utigard, “The Kinetics and Mechanism of Molten Copper Oxidation by Top Blowing of Oxygen”, Journal of Metals, vol. 57, no. 7, pp. 58-62, July 2005.


Address & Contact Information


M4 Dynamics Inc.
1801-1 Yonge Street,
Toronto, ON M5E 1W7
Telephone: +1 647-518-0430
Email: contact@m4dynamics.com
Website: www.m4dynamics.com