*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__

- Incompressible Water Flow
- Locked Rotor Analysis
- Complex Impeller and Volute Geometry

__Example: Air/Water Tank with Flow and 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

- 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

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