
Computational Fluid Dynamics
OVERVIEW

- Compressible and incompressible flows
- Various equations of state – incompressible, barotropic, perfect and real gases
- Chemically reacting flows (equilibrium, non-equilibrium, flamelets)
- Thermal non-equilibrium
- Multiple phases
- Unsteady and steady flows
- Large range of speed regimes – low speeds through subsonic, transonic, supersonic and hypersonic speeds
- Conjugate heat transfer
- Radiation effects
- Wide range of initial and boundary conditions
- Generality and extensibility via file-based co-simulation or user-defined subroutines
- Adjoint methods for evaluating sensitivity
- Fluid-thermal-structure interaction (FSI) via MetaFSI® and CSM++®
- Solution-based adaptive mesh refinement via MIME®
- Six-degree-of-freedom (6DOF) module and prescribed mesh motion
- Problem setup wizards for quick setup
- Effective matching of problem size, complexity, and computational resource
- Easy problem setup with the Advanced User Interface
- Effective scaling from one to thousands of cores
- Available on cloud computing platforms
- Industry standard turbulence models
- Advanced turbulence models (RANS, Hybrid RANS/LES)
- Algorithmic capabilities for accuracy, robustness
- Fast computation of steady state and transient problems
Unifying Philosophies in CFD++®


All cell types
• Hexahedral
• Tetrahedral
• Prism
• Polyhedral
• Polygonal
• Quadrilateral
• Triangle
• Line
All grid types
• Structured
• Unstructured
• Patched
• Overset
• Hybrid
• Non-aligned
• Meshes with gaps
• Very large grids

APPLICATIONS












FEATURES
- Turbulence
- Hypersonics
- Multiphase flows
- flows with Combustion
- Heat transfer & Radiation
- Moving meshes
- Mesh Morphing
- Physics Source Terms
- Adjoint method
- Advanced Numerics
Turbulence modeling
Topography-parameter-independent models
- 1-equation models:
- Rt model
- SA (including QCR & RC variants)
- 2-equation models:
- Realizable k-ε model
- Nonlinear (cubic) k-ε model
- Menter’s Shear Stress Transport (SST)
- Nonlinear (quartic) Hellsten model
- 3-equation model:
- Realizable k-ε-Rt model
- 4-equation Langtry-Menter transition model
- 7-equation nonlinear RSTM model
Advanced Wall Functions
- Handle any y+ and provide consistent solutions at any y+
- Seamless switching between low and high Re approaches depending on y+
LES and Hybrid RANS/LES
- Models: LNS, DES97, DDES and IDDES
- Improved accuracy with smart sub-grid scale modeling
- Large-Eddy STimulation for automatic eddy seeding in LES
- Wall-modeled LES (WMLES) and monotonically-integrated LES (MiLES)


Hypersonics and Non-equilibrium Flows
High-Temperature Gas Dynamics
- Two temperature-based thermal and chemical non-equilibrium modeling
- Tannehill curve fits for equilibrium air
- Advanced models for high-temperature ionized air transport properties
- Species properties for Earth/Mars entry and ablation
over a five-temperature range up to 30,000 K - Catalytic wall conditions
- Ablative wall conditions
Applications
- Reentry and aero-heating
- Hypersonic plumes
- Scramjets



Multiphase flows
Eulerian Dispersed Phase (EDP) method
- Designed for flows with dispersed particles, droplets, or bubbles
- Interphasic and body forces: drag, lift, turbulence dispersion, pressure gradient, virtual mass, wall lubrication, buoyancy
- Interphasic mass and energy transfer
- Evaporation: constant rate, boiling, boiling + Hertz-Knudsen
- Condensation: homogeneous nucleation, Gyarmathy or Hertz-Kndsen model for droplet growth
- Melting and solidification
- Secondary aero breakup model
- Wall impingement model: Supercooled Large Droplet (SLD) model
- Radiation: direct to far-field, DO or P1 radiation models
- Oxygen Transfer Model (OTM)
- Pure and aerated jet injection in crossflow – generates droplet size and density distributions for injection flow condition
- Langmuir D distribution for icing simulations
- Applications: particle-laden flows, aircraft icing, rocket exhaust flows with solid particles, liquid jet injection, bubbly flows


Full Eulerian-Eulerian Method (FEEM)
- Full volume conservation across all phases with no volume fraction restriction and handling of special physics
- Interphasic and body forces
- Drag (including exchange between secondary phases)
- Lift, turbulence dispersion, virtual mass
- Wall lubrication, buoyancy and bubble induced turbulence
- Interphasic mass transfer
- Interface sharpening
- Large Scale Interface detection (LSI)
- Artificial compression algorithm
- Number density equation
- Coalescence and breakup models
- Secondary aero breakup model
- Bubble expansion/compression model
- Special wall boundary conditions


Lagrangian Dispersed Phase (LDP) method
- More suitable for modeling small injection ports in a very large domain
- More options for modeling primary and secondary breakup
- Taylor analogy breakup model
- Cascade atomization & drop breakup
- Wave breakup model
- Hybrid wave breakup model
- Special physics: multiple parcel injection, co-axial and cross-stream injection, spray angle and variable parcel velocity, solid particle rebound on walls

Mixture Model
- Homogeneous Mixture Model
- Effective for mixture flows where the dispersed phases are in dynamic and thermal equilibrium with the continuous phase
- Handles special physics such as evaporation, condensation, and cavitation
- Non-Homogeneous Model
- Slip/drift velocity between phases
- Turbulence dispersion included
- Cavitation models
- Zwart-Gerber-Belamri model, Schnerr-Sauer model & Singhal model
- Secondary phase compressibility and material density overrides for cavitation
- Applications: liquid injection, cavitation and supercavitation, solid grain burning


Volume of Fluid (VOF) method
- Ideal for simulating immiscible interfacial flows
- Distinct non-mixed phases with sharp interfaces
- Artificial compression for sharp interfaces
- Surface tension effects
- Gravity wave inflow
- Wall adhesion model
- Sloshing, ditching, boat flows
- Applications: free surface flows, sloshing, ditching, drainage flow



Reacting flows
- Generalized Arrhenius chemistry model
- Large database of gases and liquids
- Pressure dependent reactions
- CHEMKIN and Cantera conversion tool for species and reactions
- Reactions handled accurately and efficiently using smart integrator
- Volumetric source for simulating ignition
- Handling of supercritical combustion via cubic/generalized equations of state
- Equilibrium chemistry (mixed-is-burnt)
- User-defined chemistry (UDP) functionality
- Flamelet model
- Tabulated method for simulations with the same fuel/oxidizer condition
- Greatly reduces computational cost
- Turbulence-chemistry interaction
- Eddy dissipation concept model
- Dynamically thickened flame model resolves flame fronts
- Flamelet model with presumed PDF
- Applications
- Air-breathing engines
- Ramjets and scramjets
- Liquid/solid fueled rocket engines
- Detonation engines
- Rotating detonation engines
- Internal combustion engines








Heat transfer & Radiation
Conjugate heat transfer (CHT)
- Tightly and loosely coupled methodologies for different flow regimes
- Isotropic and constant properties
- Composites and temperature-dependent properties
Radiation
- P1 radiation model
- Discrete Ordinates (DO) model


Moving meshes
- Unique capabilities in simulating steady and unsteady flows over complex geometries, including bodies in relative motion
- Sliding and overset meshes
- Accurate treatment of conservation for such meshes
- Automated cutting & blanking mode for faster, easier setup
- Sequential cutting approach for cutting & blanking
- Global and body frame motion modes
- Integrated rigid body dynamics (RBD) with the Six-Degree-of-Freedom (6DOF) module
- Co-simulation capabilities in 6DOF mode


Mesh morphing
- Steady state and transient simulations
- Radial Basis Functions (RBF) based mesh morphing
- File-based and BC-based mesh morphing modes
- Special analytical morphing modes for flexible discs and pistons
- Automatic motion periodicity


Physics Source Terms
- Axisymmetric swirl
- Sinusoidal body force
- Porous media
- Mass injection
- Stator blade model
- Synthetic jet doublet
- Vortex generator
- Vortex-like source
- Plasma actuator model
- Volumetric source terms
- User-linked subroutines
- Rotors and Propellers:
- Actuator Disk model
- Useful as a first approximation for modeling rotors
- Applies pressure jump and swirl velocity
- Can apply incremental thrust and torque coefficients
- Rotor model
- Based on the blade-element method
- Helicopter and propeller mode
- Hub and tip loss corrections
- Rotor trimming based on pitch or rpm
- Blade sectional airfoil characteristics based on Reynolds and Mach numbers
- Several 3D correction models to account for the effects of rotation, blade twist and centrifugal pumping
- Actuator Disk model


Adjoint Method
- Wide range of objective definitions
- Simultaneous adjoint problem definitions
- Simple and complex sensitivities
- Sensitivities for shape optimization : parameterized geometry and free form


Advanced Numerics
- Choice of both density-based and pressure-based solvers for appropriate regimes.
- Multi-dimensional higher-order Total Variation Diminishing (TVD) interpolation is used to avoid spurious numerical oscillations.
- Approximate Riemann solvers to provide correct signal propagation for the for the various waves in the system
- Preconditioning to prevent eigenvalue spread, enhance convergence, and achieve near-optimal minimum levels of dissipation in low-speed flows.
- Advanced convergence acceleration techniques, including unique preconditioning, relaxation and multigrid algorithms.
