FEM & CFD, Poisson & Convection–Diffusion, SUPG Stabilization, Variational Ideas & Error Evaluation
What you’ll study
Resolve sensible 1D situations: Warmth switch with supply, Response with Diffusion by extremely accessible excel sheets
Develop instinct on fixing the sensible drawback of blending/warmth switch together with stream. Deal with the difficulties by ‘upwinding/SUPG’
Write differential equations utilizing conservation legal guidelines which symbolize the truth, avoiding unwell posed unsolvable equations
Study each the Sensible Conservation and summary Variational strategy for fixing PDEs that are foundational to actual industrial issues
Juggle between finite variations/volumes/components on the identical drawback and observe their sensible nuances
Rapidly observe the whole actual time dynamic matrix information construction for finite components/variations/volumes
Perceive error evaluation & convergence plots: L₂ error norms and technology of log–log plots to evaluate answer accuracy and convergence charges.
Further content material: 1D Julia code—Poisson & SUPG solver reads Gmsh meshes, runs grid-convergence examine utilizing manufactured options for numerous polynomial orders.
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