TFSG can provide tailored finite element analysis to inform system design from concept through prototype of your Multiphysics process.  Below you will find an explanation of common examples and overview of possibilities.
Example: Centrifugal Water Pump
Velocity (m/s)
Pressure (psi)
  • Incompressible Water Flow
  • Locked Rotor Analysis
  • Complex Impeller and Volute Geometry
The centrifugal water pump example above was run on a TFSG custom-built liquid-cooled 64-core workstation for high accuracy and high speed.  Results match the idealized manufacturer pump curve very well.  Analysis is used to inform impeller and volute geometry prior to cutting metal for new rotating equipment designs: compressors, pumps, fans.  Analysis can be arranged to optimize to a particular system resistance and required flow.
Example: Air/Water Tank with Flow and Heat
Tank with Flow
Tank with Flow + Heat
  • Incompressible Water Flow + Compressible Air Flow
  • 1 Water Inlet (Left) + 2 Water Outlets (Bottom)
  • Tank Air Pressure Fixed
  • 70ºF Initial Tank Temperature with 120ºF High Velocity Water Inlet
TFSG is capable of complex Multiphysics CFD including this Compressible Flow + Incompressible Flow + Fluid Interface + Convective Heat Analysis.  In the velocity video on the left, the high velocity water flow can be seen stacking up on the opposite side of the inlet at the air/water interface, as would be expected.  In the temperature video on the right, both air and water are exchanging heat due to the influx of warm water.  Analysis like this is used to inform tank design for purposes like:
  • Avoiding vortex formation and air entrainment in water flow
  • Avoiding aeration at water inlets
  • Avoiding excessive mixing of hot and cold water (maintaining thermocline)
Possible Multiphysics Combinations
TFSG can combine nearly any of the below physics into a single Multiphysics analysis, based on customer needs.  Does your process or equipment fit into one or more of these categories?

Structural Mechanics
Electrostatics
Electric Currents
Pressure Acoustics, Frequency Domain
Chemical Transport of Diluted Species
Chemical Transport of Concentrated Species
Chemical Transport of Diluted Species in Porous Media
Chemical Moisture Transport in Building Materials
Chemical Moisture Transport in Air
Chemical Laminar Moisture Flow
Chemical Turbulent Moisture Flow (Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Chemical Laminar Reacting Flow
Chemical Laminar Reacting Flow, Diluted Species
Chemical Turbulent Reacting Flow (k-ε, k-ω, SST, Low Re k-ε)
Chemical Reacting Flow in Porous Media, Transport of Diluted Species
Chemcial Reacting Flow in Porous Media, Transport of Concentrated Species
Fluid Flow, Single-Phase, Creeping
Fluid Flow, Single-Phase, Laminar
Fluid Flow, Single-Phase, Turbulent (Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Fluid Flow, Single-Phase, Large Eddy Simulation (RBVM, RBVMWV, Smagorinsky)
Fluid Flow, Single-Phase, Rotating Machinery, Laminar Flow
Fluid Flow, Single-Phase, Rotating Machinery, Turbulent(Algebraic yPlus, L-VEL, k-ε)
Fluid Flow, Single-Phase, Viscoelastic Flow
Fluid Flow, Thin-Film, Shell
Fluid Flow, Multiphase, Bubbly, Laminar
Fluid Flow, Multiphase, Bubbly, Turbulent(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Fluid Flow, Multiphase, Mixture Model, Laminar
Fluid Flow, Multiphase, Mixture Model, Turbulent(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Fluid Flow, Multiphase, Euler-Euler, Laminar
Fluid Flow, Multiphase, Euler-Euler, Turbulent
Fluid Flow, Two-Phase, Level Set, Laminar
Fluid Flow, Two-Phase, Level Set, Turbulent(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Fluid Flow, Two-Phase, Phase Field, Laminar
Fluid Flow, Two-Phase, Phase Field, Turbulent(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Fluid Flow, Two-Phase, Moving Mesh, Laminar
Fluid Flow, Three-Phase, Phase Field, Laminar
Fluid Flow, Multiphase, Phase Transport
Fluid Flow, Multiphase, Phase Transport Mixture Model, Laminar
Fluid Flow, Multiphase, Phase Transport Mixture Model, Turbulent(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Fluid Flow, Porous Media and Subsurface Flow, Brinkman Equations
Fluid Flow, Porous Media and Subsurface Flow, Darcy's Law
Fluid Flow, Porous Media and Subsurface Flow, Multiphase Flow in Porous Media
Fluid Flow, Porous Media and Subsurface Flow, Two-Phase Darcy's Law
Fluid Flow, Porous Media and Subsurface Flow, Free and Porous Media Flow
Fluid Flow, Porous Media and Subsurface Flow, Phase Transport in Porous Media
Fluid Flow, Nonisothermal Flow, Laminar
Fluid Flow, Nonisothermal Flow, Turbulent(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Fluid Flow, Nonisothermal Flow, Large Eddy Simulation(RBVM, RBVMWV, Smagorinsky)
Fluid Flow, High Mach Number, Laminar
Fluid Flow, High Mach Number, Compressible Euler Equations
Fluid Flow, High Mach Number, Turbulent(k-ε, Spalart-Allmaras)
Heat Transfer, Conduction, Solids
Heat Transfer, Conduction, Fluids
Heat Transfer, Conduction, Solids and Fluids
Heat Transfer, Conjugate, Laminar Flow
Heat Transfer, Conjugate, Turbulent Flow(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Heat Transfer, Radiation, Heat Transfer with Surface-to-Surface Radiation
Heat Transfer, Radiation, Heat Transfer with Radiation in Participating Media
Heat Transfer, Radiation, Heat Transfer with Radiation in Absorbing-Scattering Media
Heat Transfer, Radiation, Heat Transfer with Radiative Beam in Absorbing Media
Heat Transfer, Radiation, Surface-to-Surface
Heat Transfer, Radiation, Participating Media
Heat Transfer, Radiation, Absorbing-Scattering Media
Heat Transfer, Radiation, Beam in Absorbing Media
Heat Transfer, Electromagnetic, Joule
Heat Transfer, Lumped Thermal System
Heat Transfer, Thin Structures, Shells
Heat Transfer, Thin Structures, Films
Heat Transfer, Thin Structures, Fractures
Heat Transfer, Heat and Moisture Transport, Building Materials
Heat Transfer, Heat and Moisture Transport, Moist Air
Heat Transfer, Heat and Moisture Flow, Laminar
Heat Transfer, Heat and Moisture Flow, Turbulent(Algebraic y-Plus, L-VEL, k-ε, Realizable k-ε, k-ω, SST, Low Re k-ε, Spalart-Allmaras, v2-f)
Heat Transfer, Heat Transfer in Porous Media
Heat Transfer, Local Thermal Nonequilibrium
Heat Transfer, Bioheat Transfer
Heat Transfer, Thermoelectric Effect
Custom Mathematics, PDE Interfaces, Coefficient Form PDE
Custom Mathematics, PDE Interfaces, General Form PDE
Custom Mathematics, PDE Interfaces, Wave Form PDE
Custom Mathematics, PDE Interfaces, Weak Form PDE
Custom Mathematics, PDE Interfaces, Boundary Elements
Custom Mathematics, PDE Interfaces, Lower Dimensions, Coefficient Form Boundary PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, Coefficient Form Edge PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, Coefficient Form Point PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, General Form Boundary PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, General Form Edge PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, General Form Point PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, Weak Form Boundary PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, Weak Form Edge PDE
Custom Mathematics, PDE Interfaces, Lower Dimensions, Weak Form Point PDE
Custom Mathematics, ODE and DAE Interfaces, Global ODEs and DAEs
Custom Mathematics, ODE and DAE Interfaces, Domain ODEs and DAEs
Custom Mathematics, ODE and DAE Interfaces, Events
Custom Mathematics, ODE and DAE Interfaces, Boundary ODEs and DAEs
Custom Mathematics, ODE and DAE Interfaces, Edge ODEs and DAEs
Custom Mathematics, ODE and DAE Interfaces, Point ODEs and DAEs
Custom Mathematics, Sensitivity
Custom Mathematics, Classical PDEs, Laplace Equation
Custom Mathematics, Classical PDEs, Poisson's Equation
Custom Mathematics, Classical PDEs, Stabilized Convection-Diffusion Equation
Custom Mathematics, Classical PDEs, Wave Equation
Custom Mathematics, Classical PDEs, Helmholtz Equation
Custom Mathematics, Classical PDEs, Heat Equation
Custom Mathematics, Classical PDEs, Convection-Diffusion Equation
Custom Mathematics, Moving Interface, Level Set
Custom Mathematics, Moving Interface, Phase Field
Custom Mathematics, Moving Interface, Ternary Phase Field
Custom Mathematics, Deformed Geometry
Custom Mathematics, Moving Mesh
Custom Mathematics, Wall Distance
Custom Mathematics, Curvilinear Coordinates