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Aerospace Computational Services

Comprehensive Aerospace Engineering Solutions

Pythias Numerics delivers specialised computational engineering services across the complete aircraft development lifecycle — from early conceptual design through certification and in-service support.

1. Computational Fluid Dynamics (CFD)

High-Fidelity RANS Analysis

  • Reynolds-Averaged Navier-Stokes simulations for complex configurations
  • Transonic flow analysis with shock capturing
  • Turbulence models: k-ω SST, Spalart-Allmaras, transition models
  • Structured and unstructured grid generation
  • Validation against experimental and wind tunnel data

Rapid Aerodynamic Methods

  • Quasi-3D methods combining 2D viscous data with lifting-surface theory
  • Panel–boundary layer coupling techniques
  • Trefftz-plane drag analysis
  • Parametric studies and design-space exploration
  • Up to 100× faster than full RANS with high accuracy

Solver Development & customisation

  • Custom boundary condition development
  • OpenFOAM solver modification and validation
  • Compressible potential-flow solvers
  • Method industrialisation for production environments

Applications

Complete Aircraft Configurations
Wing-Body-Tail Analysis
High-Lift Systems
Control Surface Effectiveness
Propulsion Integration
Store Carriage & Interference
2. AERODYNAMICS & LOADS

Preliminary Design Aerodynamics

  • Conceptual design performance estimation
  • Airfoil selection and optimisation
  • Wing planform optimisation
  • Drag breakdown and reduction strategies
  • Lift distribution optimisation

Detailed Aerodynamic Analysis

  • Wing twist optimisation for target load distributions
  • Spanwise load distribution analysis
  • Pressure distribution analysis and validation
  • Drag polar generation (zero-lift, induced, compressibility)
  • Maximum lift prediction and stall characteristics

Loads Analysis

  • Steady Manoeuvre loads
  • Gust loads analysis
  • Landing loads
  • Ground loads and taxi analysis
  • Store separation loads
  • Control surface hinge moments

High-Lift System Design

  • Flap and slat deployment optimisation
  • Multi-objective optimisation (CLmax, L/D, noise)
  • Gap, overlap, and deflection angle studies
  • Powered lift integration
  • Certification support for take-off and landing performance

Machine Learning for Aerodynamics

  • Surrogate models for rapid design exploration
  • Geometric parameter-based ML models
  • Pressure distribution prediction using neural networks
  • Training on AIRFRANS, BlendedNet, and custom datasets
  • Multi-output regression for complex aerodynamic responses
3. AEROELASTICITY & FLUID-STRUCTURE INTERACTION

Static Aeroelasticity

  • Rigid vs flexible wing performance comparison
  • Wing deformation under aerodynamic loads
  • Twist and bending deflection prediction
  • Control surface reversal analysis
  • Divergence speed calculation
  • Load redistribution on flexible structures

Aeroelastic Coupling Methods

  • Rapid aero-structural coupling (< 1 second per iteration)
  • Reduced-order structural models derived from FEM
  • Beam-stick model development
  • Modal analysis integration
  • Multi-database interpolation for improved accuracy

Dynamic Aeroelasticity

  • Flutter analysis
  • Gust response analysis
  • Limit cycle oscillation prediction
  • Control surface buzz investigation

Aeroservo elasticity

  • Flight control system integration with aeroelastic models
  • Stability and control analysis on flexible aircraft
  • Active load alleviation
  • Manoeuvre load control
  • Gust load alleviation systems

Wing optimisation with Flexibility

  • Jig-shape optimisation accounting for in-flight deflection
  • Trade studies between structural weight and aerodynamic efficiency
  • Multidisciplinary optimisation (aerodynamics + structures)
4. STORE SEPARATION & WEAPONS INTEGRATION

Safe Store Separation Analysis

  • Six-degree-of-freedom (6-DOF) trajectory simulation
  • Aerodynamic database generation for external stores
  • Captive carriage interference effects
  • Separation clearance envelope definition
  • Transonic and supersonic separation analysis

Weapons Integration

  • Carriage loads analysis
  • Aeroelastic effects on store separation
  • Multiple store configuration assessments
  • Internal and external carriage analysis
  • Emergency jettison scenario evaluation
5. CFD VALIDATION & VERIFICATION

Wind Tunnel Correlation

  • Pre-test CFD predictions
  • Post-test correlation and analysis
  • Test-to-analysis methodology development
  • Uncertainty quantification
  • Reynolds number scaling studies

Method Validation

  • Comparison against published experimental test cases
  • Code-to-code verification
  • Grid convergence and discretisation studies
  • Turbulence model sensitivity assessment
  • Compliance with solution verification standards
6. OPTIMISATION & DESIGN

Multi-Objective Optimisation

  • NSGA-II genetic algorithms for complex design spaces
  • Pareto front generation and trade-space visualisation
  • Design of experiments (DOE)
  • Response surface methodology
  • Gradient-based optimisation using adjoint methods

Geometry Parameterisation

  • Free-form deformation (FFD) techniques
  • Radial basis function (RBF) mesh deformation
  • CAD-based parametric geometry definition
  • Hicks–Henne functions for airfoil design
Software & Tools Expertise

Commercial CFD

  • ANSYS Fluent
  • STAR-CCM+
  • CFX

Open Source

  • OpenFOAM (custom solver development)
  • SU2
  • PyFR

Structural Analysis

  • ANSYS Mechanical
  • Nastran
  • Modal analysis tools

Optimisation & Scripting

  • Python (extensive automation)
  • MATLAB
  • ModelCenter
  • DAKOTA

Mesh Generation

  • ICEM CFD
  • Pointwise
  • Gmsh
Deliverables
Our typical project deliverables are structured to support design decisions, certification activities, and long-term knowledge transfer.
  • Technical reports with validation and verification evidence
  • CFD solution files and post-processing scripts
  • Aerodynamic databases (forces, moments, coefficients)
  • Optimised geometries with performance comparison studies
  • Training materials and structured knowledge transfer sessions
  • Publication-quality visualisations
  • Actionable recommendations for design improvements

Pythias Numerics is a technology-driven company delivering advanced engineering solutions, custom software development, cloud services, and data-driven consulting. We help businesses innovate, scale, and succeed through secure, scalable, and future-ready digital solutions.

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