CFD++ Covers the following equations

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  • Navier Stokes: Either compressible or incompressible fluid flows. CFD++ features a second order Total Variation Diminishing (TVD) discretisation scheme based on a multi-dimensional interpolation framework.
  • Advection-Diffusion
  • Multi-Species
  • Turbulence Models
  • Chemical Reactions 

CFD++ Numerical features

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  • Multi-dimensional TVD polynomial reconstuction.
  • Up to fourth order accuracy in time in implicit mode
  • Finite-volume framework
  • Fast convergence to steady state
  • Fast computation of unsteady flows
  • Dual time stepping

CFD++ Unique efficient solutions methodologies

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  • Highspeed Reacting/Non-reacting flows.
  • Lowspeed reacting/non-reacting flows via preconditioning
  • Incompressible flows via preconditioning
  • Conjugate heat transfer
  • Multiphase flows
  • Sliding and overset meshes for flow around and within bodies in relative motion
  • 6-DOF Applications: Highly accurate 6-DOF module, providing trajectory analysis of bodies in flight. Used in applications such as: unsteady response to control surface actuation, safety of store separation from aircraft. The tightly coupled rigid-body and fluid dynamics produces accurate transient response

CFD++ Accuracy

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  • A multi-dimensional interpolation which is linearity preserving
  • Riemann solvers, which are exact for isolated waves, such as shocks, contacts and shears.
  • Preconditioning which prevents eigenvalue spread and achieves near-optimal minimum levels of dissipation in low speed flows
  • Advanced Turbulence models, which achieve more realistic representation of stress-tensor through physical realizability arguments.

CFD++ Reliability

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  • Coupled implicit solution procedure requiring no additional under-relaxation for stability
  • A multi-dimensional interpolation which is bounded or TVD
  • Riemann solvers which automatically enforce an entropy condition and preserve positivity.
  • Turbulence models, which prevent unbounded stress components through physical realizability arguments

CFD++ Speed

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  • Coupled, implicit solution with multi-grid acceleration
  • Consistent and fully implicit treatment of boundary conditions
  • Time-derivative preconditioning, which reduces stiffness at low speeds
  • Turbulence models, which avoid explicit fragments, stiff near-wall source terms
  • Topography-parameter-free Turbulence modeling
  • Separated/reversed flow prediction capability and unbounded diffusion rates

CFD++ Reacting flow capability

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  • Efficient simulation of both high and low speed reacting flows
  • Detonation waves, diffusion and premixed flames
  • Turbulence-chemistry interaction models in progress
  • LES for reacting flows

CFD++ Assets for unsteady flow

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  • Second-order accurate, implicit time-integration with dual time-stepping
  • Time step restriction based only on frequency/scales to be resolved: advantageous in turbulent reacting flows with embedded fine grids
  • Inner loop iterations using multigrid relaxation procedure avoids factorization error for multidimensional problems

CFD++ Numerical Features

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  • Multi-dimentional TVD polynomial reconstuction.
  • Up to fourth order accuracy in time in implicit mode
  • Finite-volume framework
  • Fast convergence to steady state
  • Fast computation of unsteady flows
  • Dual time stepping
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