Symmetries and Conservation LawsCovers symmetries and conservation laws in fluid dynamics, emphasizing the importance of maximizing symmetries in ideal fluid systems.
Scale-by-scale Energy BudgetExplores the scale-by-scale energy budget in fluid dynamics, emphasizing energy redistribution between different scales and conservation laws.
Turbulence: Numerical Flow SimulationExplores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.
Linear Momentum BalanceCovers the concise local statement of linear momentum balance and continuity, emphasizing the importance of continuity in analyzing particle motion.
Fluids and ElectromagnetismExplores closed and non-closed surfaces, divergence theorem, Stokes theorem, and fluid properties in fluid dynamics and electromagnetism.
Control Volume and SystemExplains control volume, system, mass conservation laws, and Reynolds transport theorem with practical examples and theoretical derivations.