Lectures related to Navier-Stokes: SIMPLE Algorithm

Numerical Analysis of Incompressible Fluid Flow

Covers the software system Channelflow for numerical analysis of incompressible fluid flow in channel geometries, including spectral methods and invariant solutions.

Fluid Dynamics: Differential Conservation Laws and Equations

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Fluid Dynamics: Incompressible Flow

Covers the analysis of incompressible fluid flow and numerical solutions in fluid dynamics.

Numerical Methods in Biomechanics: Hip-A

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Computation, Verification and Validation

Explains verification and validation in CFD simulations, focusing on Richardson extrapolation and accuracy checking.

Incompressible Fluid Mechanics: Differential Analysis

Covers mass and momentum conservation, Navier-Stokes equations, and analytical methods in incompressible fluid mechanics.

Inviscid Flows: Understanding Fluid Dynamics

Explores inviscid flows, Reynolds number importance, linear deformations, and volume change in fluid dynamics.

Numerical Flow Simulation: Introduction

Covers numerical flow simulation methodology, applications, challenges, and practical exercises with software like Matlab and OpenFOAM.

Incompressible Fluid Mechanics: Pathlines and Streaklines

Covers the fundamentals of incompressible fluid mechanics, focusing on pathlines and streaklines to visualize fluid flow behavior.

Symmetries and Conservation Laws

Covers symmetries and conservation laws in fluid dynamics, emphasizing the importance of maximizing symmetries in ideal fluid systems.

Verification and validation

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

Fluid Dynamics: Eulerian and Lagrangian Approaches

Covers the Eulerian and Lagrangian approaches in fluid dynamics, emphasizing their applications in analyzing fluid flow.

Fluid Dynamics: Navier-Stokes Equations

Explores fluid dynamics, covering Navier-Stokes equations, momentum conservation, stresses, and dimensional analysis.

Bernoulli Theorem: Applications

Explores the applications of the Bernoulli theorem in fluid dynamics.

Numerical Methods: Iterative Techniques

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Time Integration: Unsteady Simulation Methods

Explores numerical methods for unsteady flow simulation, emphasizing time integration techniques and boundedness criteria.

Continuity Equation, Newton's 2nd Law in Eulerian Concept

Covers the continuity equation for steady laminar flow and Newton's 2nd law.

Computational Geomechanics: Unconfined Flow

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Computational Geomechanics: Week 4

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.