Lectures related to Computational Geomechanics: Poroelasticity and Transient Flow

Covers the governing equations for forces and motion in continua, including stress, energy conservation, solid deformation, and fluid motion.

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

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

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

Covers the key concepts behind the Finite Element Method and its applications in linear statics.

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

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

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Explores free convection, laminar flow boundary layer equations, and heat transfer principles.

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

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

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

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

Covers the basics of continuum mechanics, including constitutive laws, stress, dynamics, and fluid motion.

Introduces continuum mechanics, focusing on conservation laws and kinematics for continuous media.

Explores closed and non-closed surfaces, divergence theorem, Stokes theorem, and fluid properties in fluid dynamics and electromagnetism.

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

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

Covers conservation laws in fluid dynamics, including the Venturi effect and Bernoulli equation.