Stallion 3D – Technical Specifications & Numerical Methods

A Cartesian-grid RANS CFD solver for complete configurations using STL geometry.

This page summarizes the governing equations, turbulence models, grid strategy, and main numerical features used in Stallion 3D. It is intended for engineers, researchers and educators who want to understand what is “under the hood”.

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1. Governing Equations & Models

1.1 Flow equations

  • Three-dimensional, compressible Reynolds-Averaged Navier–Stokes (RANS) equations
  • Conservation of mass, momentum and total energy in integral form
  • Steady and quasi-unsteady time-marching solutions

1.2 Turbulence modeling

  • Standard two-equation k–ε turbulence model for attached and mildly separated flows
  • Effective viscosity formulation for closure of Reynolds stresses
  • Wall functions for practical engineering Reynolds numbers

1.3 Additional solvers

  • Laminar Navier–Stokes solver (for low-Re applications and method verification)
  • Compressible inviscid (Euler) solver for quick preliminary analysis

2. Grid Strategy & Boundary Representation

2.1 Cartesian grid framework

  • Structured, body-independent Cartesian volume grid
  • Automatic domain generation around the imported STL geometry
  • User control over domain extents and grid resolution

2.2 HIST methodology Proprietary

  • Hanley Innovations Surface Treatment (HIST) algorithm for representing solid boundaries
  • Flow solution computed in volume cells while the geometry is represented implicitly
  • Suitable for complex geometries (aircraft, UAVs, rockets, hydrofoils, etc.) without manual surface meshing

2.3 Grid resolution & cell counts

  • Typical engineering cases: ~0.4 to 2 million cells for external aerodynamics
  • Refinement near the body and regions of strong gradients
  • Automatic grid generation motivated by SameDayCFD: setup in minutes, not days

3. Numerical Discretization & Time Marching

3.1 Spatial discretization

  • Finite-volume formulation on a Cartesian grid
  • Flux-vector splitting scheme for robust capture of shocks and expansion waves
  • Upwind-biased discretization for convective terms

3.2 Temporal discretization

  • Time-marching approach to reach steady or quasi-steady solutions
  • Local time-stepping to accelerate convergence where appropriate
  • Monitoring of global coefficients (CL, CD, CM) to determine convergence

3.3 Parallel execution

  • Shared-memory parallelism using multiple cores on a single Windows machine
  • Performance scales with number of cores and available RAM

4. Flow Regimes, Physics & Special Capabilities

4.1 Mach number & flow regimes

  • Subsonic, transonic and supersonic flows
  • Typical external-aerodynamics Mach range from low subsonic up to M ≈ 5 (recommended)

4.2 Angles & attitudes

  • Angle of attack from 0° to high-incidence / post-stall conditions (case-dependent)
  • Crossflow / sideslip angle from 0° to 360° for stability-type analyses

4.3 Actuator disk modeling

  • Up to 100 actuator disks to represent propellers, fans, jets or rocket plumes
  • Disks specified by location, orientation and imposed momentum source
  • Useful for studying propulsion–airframe interaction without resolving blade geometry

4.4 Rotational and stability-type effects

  • Surface rotation capability for quasi-steady stability-derivative studies
  • Rotations about arbitrary axes to mimic pitch, roll or yaw motions
  • Useful for estimating aerodynamic damping and control effectiveness

5. Boundary Conditions & Domain Setup

5.1 External aerodynamics

  • Far-field boundaries based on free-stream conditions (Mach, pressure, temperature, flow direction)
  • Solid surfaces treated as no-slip, adiabatic walls for viscous RANS solutions
  • Symmetry planes available for appropriate configurations

5.2 Domain extents

  • Cartesian domain automatically generated around imported geometry
  • User can adjust domain size to reflect specific wind-tunnel or free-flight conditions

6. Input Geometry & Output Data

6.1 Geometry input

  • STL file input from:
    • NASA OpenVSP
    • Common CAD packages via STL export
  • Built-in parametric wing and surface tools for certain configurations

6.2 Quantities of interest

  • Global aerodynamic coefficients:
    • Lift, drag, side force
    • Pitching, rolling and yawing moments
    • CL, CD, CY, Cm, Cl, Cn
  • Component force and moment breakdowns for user-defined surfaces

6.3 Field and surface data

  • Pressure, Mach number, velocity, density and temperature on:
    • STL surfaces (contour plots)
    • Cartesian slices (constant x, y or z planes)
  • Line plots of Cp and other variables along user-selected cuts (e.g., wing stations)
  • Streamline visualization colored by pressure, Mach or other variables

6.4 Data export

  • Export of surface and volume data for external visualization (e.g., ParaView workflow)
  • Export of tabulated force, moment and coefficient histories for reports or spreadsheets

7. System Requirements & Licensing

7.1 Operating system & hardware

  • Microsoft Windows 7, 10 or 11
  • Desktop, laptop or compatible tablet
  • Multiple cores recommended for faster turnaround
  • Memory requirements depend on grid size; more RAM allows larger cases

7.2 Licensing options

  • 3-month subscription
  • 1-year subscription
  • Perpetual licence

For current pricing and purchase links, please see the main Stallion 3D product page.

7.3 Support & consulting

  • Technical support by email and phone
  • Custom training, consulting and project-specific studies available

📞 Call or text (352) 653-0875 or email hanley@hanleyinnovations.com to discuss specific technical requirements or validation needs.