Shells ICovers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.
Gradient, divergenceCovers the definitions of gradient and divergence, including the Cartesian coordinate system and the divergence theorem.
Differential Geometry of SurfacesCovers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.
Turbulence: Numerical Flow SimulationExplores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.
Surfaces in GeometryExplores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Fluids and ElectromagnetismExplores closed and non-closed surfaces, divergence theorem, Stokes theorem, and fluid properties in fluid dynamics and electromagnetism.
Surface of RevolutionExplains the parametric equations of surfaces of revolution generated by curves in space.
Linear Momentum BalanceAnalyzes linear momentum balance equations and explores the consequences of continuity and divergence in angular momentum conservation.
