Lectures related to Numerical Methods in Biomechanics: Hip-A

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

Fluid Dynamics: Differential Conservation Laws and Equations

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

Computational Geomechanics: Unconfined Flow

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

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

Numerical Methods: Boundary Value Problems

Explores numerical methods for boundary value problems, including heat diffusion and fluid flow, using finite difference methods.

Computation, Verification and Validation

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

Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Fluid Dynamics: Incompressible Flow

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

Internal Heat Transfer Effects

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Finite Difference Grids

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Implementation of Transport Equations in Composite Materials

Explores the implementation of transport equations in composite materials, covering resin/fiber interaction, boundary conditions, and mechanics of continuous media.

Numerical Flow Simulation: Basics and Boundary Conditions

Covers the basics of numerical flow simulation, including boundary conditions and geometry reduction.

Richards Equation: Water Transfers Simulation

Explores water transfers simulation using the Richards equation and numerical methods.

Heat Equation in 1D: Chapter 12

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

Fluid Mechanics: Foundations and Applications

Covers the foundations of fluid mechanics, focusing on flow problem descriptions and solutions.

Inverse Monotonicity: Stability and Convergence

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Diffusion on a Limited Domain

Covers time-dependent diffusion on a limited domain with boundary conditions and solution methods.

Newton's 2nd Law: Fluid Dynamics

Discusses Newton's 2nd Law in fluid dynamics and incompressible Newtonian fluids.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Numerical Methods: Boundary Value Problems

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.