Finite Element Method: Stabilization Techniques

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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.

Symmetries and Conservation Laws

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

Inviscid Flows: Understanding Fluid Dynamics

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

Fluid Dynamics: Navier-Stokes Equations

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

Velocity Potential and Momentum Balance

Discusses velocity potential, momentum balance, and solution strategies for incompressible flows.

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Fluid Dynamics: Differential Conservation Laws and Equations

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

Navier-Stokes Equations: Approximations and Solutions

Explores solving Navier-Stokes equations through approximations and special cases in fluid dynamics.

Navier-Stokes Equation

Covers the Navier-Stokes equation in incompressible flow fields and explains the pressure distribution.

Bernoulli Theorem: Applications

Explores the applications of the Bernoulli theorem in fluid dynamics.