Creeping Flow · Continuum Mechanics

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Continuum Mechanics

Rod dynamics, iceberg simulations, and gravity waves

$ Continuum ApproximationThe continuum approximation and material descriptions $ Tensor FundamentalsTensor algebra, notation, and coordinate transformations $ Stress and StrainStress tensors, strain measures, and constitutive laws $ ElasticityLinear elasticity theory and elastic wave propagation $ The Heartbeat Equation -- Dynamics of ContinuaConservation laws and equations of motion for continua $ Fluids at RestFluid statics, pressure, and buoyancy principles $ Fluids in MotionEuler and Navier-Stokes equations for fluid flow $ Viscous FlowViscous effects, boundary layers, and Reynolds number $ Creeping FlowLow Reynolds number Stokes flow solutions $ Channels and PipesPoiseuille flow and flow in channels and pipes $ Gravity WavesSurface gravity waves and dispersion relations $ Weak Stokes FormulationWeak formulation of Stokes equations $ Finite Element MethodFinite element method for continuum problems $ Python Packages -- Let's Play With the UniversePython tools for continuum mechanics simulations $ The Grand Finale -- A Detective Story in Seven ActsCourse review — every big idea retold as detective stories

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