Course content
This is one-of-its-kind short term course that offers unique
experience of both the field of FEM and CFD that would cover
broad range of topics on FEM and CFD. The main topics of
the course would be:
Introduction and application: Use of CAE (CFD and FEM)
in various engineering fields, design and failure analysis
using CAE etc.
Basic theory of CFD and FEM: Governing differential
equations, discretisation techniques- Finite volume method,
Finite difference methods, Explicit, Implicit and
Crank-Nicolson’s algorithm; stability of solutions, Finite
element discretization techniques, Meshing techniques, weak
form, Rayleigh Ritz method, modelling of convection-
diffusion problems, Introduction to turbulence, concept of
boundary layer.
Complex geometry handling: feature curves, surface
organization, free edges, boundary surfaces, other
pre-processing techniques.
1-D Meshing: Introduction to meshing, when to use 1-D
meshing, meshing in critical areas, element section, beam
element, rigid elements, fasteners, problems based on 1-D
FEM and comparison with exact theory.
2-D Meshing: When to use 2D simulations, techniques for
2D FEM, CFD simulation, mid-surface, different types of
element and their displacement function, Family of 2-D
elements: plane stress, plan strain, plate, membrane, thin
shell etc., effect of mesh density, effect of biasing in
critical region, boundary conditions, how not to mesh,
shrink wrap meshing, effect of mesh size on results (in FEM
and CFD), problems based on 2D FEM and CFD and comparison
with exact theory.
3-D Meshing: When to use 3D FEM and CFD simulations,
boundary layer mesh generation, elements types, DoF for
solid elements, brick meshing, prism layer, how not to mesh,
effect of mesh size on results (in FEM and CFD)
Mesh Quality and Checks: Compatibility and mechanisms,
shells to solids, beam to solids etc, General element
quality checks: skewness, aspect ratio, warpage, jacobian;
2-D quality checks, quality checks for tetra meshing, brick
mesh quality checks, quality checks for CFD mesh, grid
independence study
Linear Static and Dynamic Analysis: Stiffness matrix,
stress and strain calculations, FEM model for linear
analysis, error analysis, design problems based on linear
analysis, Theory of dynamic analysis: forced and free
vibration, mode shapes, harmonic analysis, design techniques
for avoiding resonance.
Thermal Analysis: Conduction, convection and radiation
heat transfer, structured and unstructured meshing, thermal
analysis using FEM/CFD.
Real to Virtual: Reverse engineering techniques,
creating 3D CAD designs from real objects, use of camera in
converting still images into 3D models, post-processing
techniques for quality remeshing etc.
Applied FEM and CFD: CFD, NVH analysis., application
CFD and FEM in biomedical, implant designs such as
Orthopaedic implants, automotive (engine modeling),
aerospace (aerodynamic), civil (building modeling: static
and dynamic analysis), modeling stress concentration, lift
and drag prediction etc.
Special topics: to be included if requested by the
participants in advance.
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