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Related lectures (28)
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Navier-Stokes: Equations and Simulation
Explores the challenges of Navier-Stokes equations, pressure checkerboard, staggered grid, and the SIMPLE algorithm.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Curve Integrals: Gauss/Green Theorem
Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.
Differential Operators: Vector Analysis
Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.
Vector Calculus Theorems
Explores the Gauss and Green theorems in vector calculus, showcasing their applications through practical examples and geometric interpretations.
Symmetries and Conservation Laws
Covers symmetries and conservation laws in fluid dynamics, emphasizing the importance of maximizing symmetries in ideal fluid systems.
Linear Shell Theory: Equilibrium and Energy
Covers the expression of the Kirchhoff-Saint Venant energy in a covariant setting and explores equilibrium equations for spherical shells and linear shell theory.
Divergence Explained: Lightboard 2-4
Explores how sources and sinks affect the divergence of vector fields.
Periodic Solutions in Planar Systems
Explores the absence and existence of periodic solutions in planar systems.
Green Theorems: Divergence Theorem and Identities of Green
Explores the application of Green theorems in 2D and 3D spaces.