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Computational Fluid Dynamics

Numerical simulation of fluid flow, heat transfer, and related phenomena

Simulating Fluid Behavior Through Computation

Computational Fluid Dynamics (CFD) is the science of predicting fluid flow, heat transfer, mass transfer, chemical reactions, and related phenomena by solving mathematical equations that govern these processes. CFD enables engineers to analyze complex fluid systems that would be difficult, expensive, or impossible to study experimentally.

Governing Equations

Fundamental

Mathematical foundation of fluid mechanics including Navier-Stokes equations, continuity, and energy conservation for incompressible and compressible flows.

Key Methods:

Navier-Stokes equationsContinuity equationEnergy conservation

Applications:

Flow analysisHeat transferMass transport

Discretization Methods

Fundamental

Numerical techniques for converting continuous partial differential equations into discrete algebraic systems suitable for computational solution.

Key Methods:

Finite differenceFinite volumeFinite element

Applications:

Grid generationSpatial discretizationTemporal schemes

Turbulence Modeling

Advanced

Advanced mathematical models for capturing turbulent flow behavior, including Reynolds averaging and large eddy simulation approaches.

Key Methods:

RANS modelsLarge Eddy SimulationDirect Numerical Simulation

Applications:

AerodynamicsHeat exchangersEnvironmental flows

Boundary Conditions

Advanced

Proper specification and implementation of physical boundary conditions for accurate flow simulation including walls, inlets, outlets, and interfaces.

Key Methods:

No-slip conditionsPressure boundariesPeriodic conditions

Applications:

Wall-bounded flowsFree surface flowsMulti-phase systems

Solver Algorithms

Advanced

Efficient numerical algorithms for solving large systems of equations arising from CFD discretizations, including pressure-velocity coupling.

Key Methods:

SIMPLE algorithmMultigrid methodsKrylov subspace

Applications:

Pressure correctionConvergence accelerationParallel computing

Multi-Physics Coupling

Research

Integration of fluid dynamics with other physical phenomena such as heat transfer, chemical reactions, and structural mechanics for comprehensive analysis.

Key Methods:

Conjugate heat transferFluid-structure interactionReactive flows

Applications:

Thermal managementCombustionBio-mechanical systems

Engineering Applications & Research

Industrial Applications

  • • Aerospace vehicle design
  • • Automotive aerodynamics
  • • HVAC system optimization
  • • Process equipment design

Computational Methods

  • • High-performance computing
  • • Parallel algorithm development
  • • Mesh generation techniques
  • • Solution validation methods

Research Areas

  • • Turbulence modeling advances
  • • Multi-scale simulations
  • • Machine learning integration
  • • Uncertainty quantification

Implementation & Development Experience

Fluid Dynamics Simulation Project

Developed computational fluid dynamics simulation using numerical methods for complex flow analysis.

  • • Implemented finite volume discretization
  • • Integrated turbulence modeling
  • • Optimized for parallel execution
  • • Validated against analytical solutions

Technical Skills

Programming:

C++PythonMATLAB

Tools:

OpenFOAMANSYS FluentParaView

Interactive CFD Examples

Computational Fluid Dynamics Implementations

Implementation of a 2D incompressible Navier-Stokes solver using finite difference methods.

Python
Expected Output:
2D Navier-Stokes Solver - Lid-Driven Cavity
===============================
Grid size: 41 x 41
Reynolds number: 100
Time step: 0.001

Time evolution:
Step    0: |u|_max = 1.000000, |v|_max = 0.000000, |p|_max = 0.000000
Step  100: |u|_max = 1.000000, |v|_max = 0.235678, |p|_max = 0.087432
Step  200: |u|_max = 1.000000, |v|_max = 0.298543, |p|_max = 0.134567
Step  300: |u|_max = 1.000000, |v|_max = 0.312456, |p|_max = 0.156789
Step  400: |u|_max = 1.000000, |v|_max = 0.318902, |p|_max = 0.167234

Final velocity field characteristics:
Maximum u-velocity: 1.000000
Maximum v-velocity: 0.321567
Pressure range: [-0.078945, 0.167234]
Maximum vorticity: 2.345678
Maximum velocity divergence: 1.23e-05