Navier Stokes Equations Courses and Certifications

IIT Madras;  NPTEL

Turbulence Modeling

Builds advanced foundations in statistical, RANS, DNS, LES, and hybrid turbulence modeling for implementing and evaluating models in CFD applications.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

NPTEL;  IIT Kharagpur

Introduction to Aerodynamics

1 rating

An introduction to aerodynamic theory, from aircraft forces and fluid motion to potential flow, conformal transformations, and boundary-layer theory.

• YouTube
• 1 day 20 hours
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Marine Hydrodynamics

1 rating

Study ideal and viscous fluid flow, aerofoil theory, boundary layers, and water waves through marine hydrodynamics equations and worked problems.

• YouTube
• 1 day 12 hours
• Self-Paced
• Free Video

NPTEL;  IIT Kharagpur

Computational Fluid Dynamics

The course deals with the numerical solution of equations governing fluid flow and would be of interest to engineers and scientists. The course deals with the basic techniques that enable the numerical solution of these equations.

• YouTube
• 1 day 7 hours
• Self-Paced
• Free Video

NPTEL-NOC IITM

Fluid and Particle Mechanics

Master fundamental fluid properties, Navier-Stokes equations, dimensional analysis, and particle mechanics through comprehensive coverage of laminar/turbulent flows, boundary layers, and engineering applications.

• YouTube
• 1 day 7 hours 45 minutes
• Self-Paced
• Free Video

Sebastian Lague

Coding Adventure - Simulating Smoke

Dive into grid-based fluid simulation programming to create realistic smoke effects using Navier-Stokes equations, pressure solving, and advanced rendering techniques.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Guwahati

Viscous Fluid Flow

Explore the mathematical treatment of viscosity in Newtonian flows, from Navier–Stokes derivation and exact solutions to boundary layers, stability, and turbulence.

• YouTube
• 1 day 6 hours
• Self-Paced
• Free Video

Steve Brunton

Turbulence Closure Models - Reynolds Averaged Navier Stokes and Large Eddy Simulations

Explore turbulence closure modeling with Reynolds-averaged Navier–Stokes equations, eddy-viscosity and k–ε models, large eddy simulation, and detached eddy simulation.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

The Royal Institution

The Million Dollar Equations - With Tom Crawford

An overview of four Millennium Prize problems—Riemann, P vs NP, Poincaré, and Navier–Stokes—and why they remain unsolved.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Madras

Introduction to Boundary Layers

Explore boundary-layer thickness, Prandtl’s equations, laminar-to-turbulent transition, separation, friction drag, and thermal boundary layers.

• YouTube
• 22 hours
• Self-Paced
• Free Video

Tom Rocks Maths

Yang Mills Mass Gap Hypothesis

Explore the million-dollar Yang Mills Mass Gap problem with 2014 Fields Medalist Martin Hairer, discussing his groundbreaking research on this fundamental physics challenge.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Australian Water School

From Courant to Saint Venant

Explores the equations behind hydraulic modeling, tracing the Courant number and Saint-Venant shallow-water equations back to conservation laws and first principles.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Steve Brunton

Crafting a Physics-Informed Loss Function for AI/ML in Physics - Part 4

Explores designing physics-informed loss functions in AI/ML, including case studies on fluid dynamics, sparse modeling, and equivariant loss, to enhance model performance and incorporate physical constraints.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Direct and Cross Effects in Entropy Production and the Fourth Law of Thermodynamics - Lecture 23

Delve into advanced thermodynamics concepts, exploring entropy production, force-flux relationships, cross effects, and the Fourth Law through comprehensive theoretical frameworks and practical applications.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

The Julia Programming Language

Variational Multiscale Method in Julia for Airfoils Simulations

Discover how to implement the Variational Multiscale Method in Julia using Gridap ecosystem for solving Navier-Stokes equations and performing implicit LES on transitional airfoils with distributed computing.

• YouTube
• 12 minutes
• Self-Paced
• Free Video