The course is organized in two parts, focused on the analysis of structural mechanics through finite element modeling and on computational fluid dynamics through finite volume models, respectively. In both parts, students will be introduced to the computational methods implemented in a commercial code with a mix of lectures and tutorials. At the end of each part, students will develop a project working in small teams.
Part one: finite element modeling and structural mechanics
Solid mechanics and introduction to the finite element method: the governing equations of solid mechanics will be overviewed. Their weak form and the corresponding discretization and solution will be introduced. In detail, standard displacement-based approach will be introduced together with discretization strategies of governing equations, numerical integration issues and algorithms for solution of linear and non linear problems.
Principles of solid mechanics simulations: the commercial package Abaqus will be introduced, the main steps for the problem solution including the boundary conditions, meshing algorithms and solution strategies will be reviewed for linear and non linear simulations.
Tutorials: by using Abaqus, students will work in teams on two tutorials with an increasing level of complexity. Both tutorials will be worked examples and students will work following a step-by-step guide.
Project: working again in team and using Abaqus, students will have to set and run an analysis to tackle a real world problem. The problem to be simulated will be exhaustively described, but students will have to independently choose how to set their model. At the end of the project, each team will have to produce a report.
Part two: finite volume modeling and fluid dynamics
Introduction to fluid dynamics: the equations governing the conservation of mass, of linear momentum and of energy will be derived and discussed. Their weak form, its discretization and solution will be introduced based on the general scheme of convection-diffusion equations.
Principles of fluid mechanics simulation: lectures will describe the way the linear algebraic form of the field equations can be achieved, the iterative methods for algebraic system solution, the upwinding schemes, the pressure-velocity coupling algorithms and how to check convergence and result accuracy.
Tutorials: the commercial package Ansys-Fluent will be introduced together with its capability to handle laminar and turbulent, steady and transient flows. The team of students will work on two tutorials, devoted to introducing progressively more complex features of the software package, including the use of user-defined functions.
Project: working again in team and using Ansys-Fluent, students will have to set and run an analysis to tackle a real world problem. The problem to be simulated will be exhaustively described, but students will have to independently choose how to set their model. At the end of the project, each team will have to produce a report.
Important notice: access to the course
It should be noted that this is a limited number access course. The mandatory procedure for access request is described here: http://www.ccsbio.polimi.it/?page_id=27