Multiphysics Modeling and Simulation

Multiphysics Modeling and Simulation
Multiphysics Modeling and Simulation
Multiphysics Simulation and Applications


Multiphysics is the process of computer simulation of coupled and interacting physical phenomena such as heat and mass transfer, fluid flows, structural stresses, and electromagnetic effects. This could for example be heat and stress generation due to friction brakes, fluid flow transport with reacting chemical species, temperature and stress variations due to electrical fields and more.

These types of simulations are increasingly becoming an essential part of Computer Aided Engineering (CAE), virtual prototyping, R&D and product design fields, as they not only save time and costs, but also make it possible to perform experiments and analysis in the computer not possible in real world experiments.

Heat and Mass Transfer

Heat transport by thermal conduction in solids and convection in fluids is modeled with the heat transfer equation. For multiphysics applications, the temperature field can be coupled to other physics such as structural mechanics applications for thermal stresses, or fluid flow to account for buoyancy effects.

Mass transfer is treated by the analogous convection, diffusion, and reaction equation to account for mass diffusion and chemical reactions. Full two-way multiphysics couplings are also sometimes present accounting for the convective transport of concentration fields by the fluid flow.

Multiphysics - Heat and Mass Transfer Simulation
Multiphysics - Structural Mechanics Simulation

Structural Mechanics

Structural mechanics and mechanical engineering simulations are used to determine stresses, strains, displacements, and failure modes for objects and structures under varying load conditions.

Multiphysics simulations for stress-strain relations often also involve heating effects giving rise to temperature induced stresses, such as during braking procedures. Also fluid-structure interaction (FSI) whereby a fluid exerts significant forces on solid objects can often be found in pharmaceutical and bio-mechanical applications.

Fluid Mechanics

Computational fluid dynamics (CFD) simulations are typically used to model the behavior of fluids in motion. CFD application areas span everything from large scale aerospace, aerodynamic, geo and ocean engineering, to automotive, manufacturing and processing industry, and small scale bio and micro-fluidic applications.

In multiphysics applications the effects of fluid flow fields can often be very significant. For example, heat can be transported away by the fluid field such as in heat exchangers, chemical reactions might occur at significantly different rates in fluid stagnation zones, and fluids exert significant forces on and interact with surrounding objects such as in fluid-structure interaction applications.

Multiphysics - Computational Fluid Dynamics
Multiphysics - Computational Electromagnetics


Electromagnetic forces and field effects as for example found in antennas, wave guides, magnets, and electrical components are typically modeled with different forms of Maxwell's equations.

In multiphysics applications electromagnetic fields can generate forces on conductive objects, and also give rise to resistive and inductive heating effects.

Partial Differential Equations

Partial differential equations (PDE) are typically the building blocks in continuum mechanics and multiphysics modeling applications. The governing equations for the application areas above can often be reduced to the a form of classic and prototypical PDEs such as the Poisson's, Laplace, wave, and convection and diffusion equations.

The pre-defined physics modes in FEATool Multiphysics hides the work of defining PDEs and multiphysics couplings. These governing equation systems can then be coupled and automatically and efficiently solved together.

Multiphysics - Partial Differential Equations