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 modeling, 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 details, standard displacementbased approach will be introduced together with discretization strategies of governing equations, numerical integration issues and algorithms for solution of linear and nonlinear 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 nonlinear simulations.
Tutorials: by using Abaqus, students will train in teams on tutorials following a stepbystep guide.
Project: working again in team and using Abaqus, students will have to set and run an analysis to tackle a realworld problem. The problem to be simulated will be exhaustively described in terms of design specifications, 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 convectiondiffusion equations.
Principles of fluid mechanics simulation: lectures will describe:
 how to obtain the linear algebraic form of the field equations
 the iterative methods for algebraic system solution, the upwinding schemes, the pressurevelocity coupling algorithms
 how to check convergence and result accuracy.
Tutorials: the commercial package AnsysFluent will be introduced. The team of students will work on tutorials, devoted to introducing progressively more complex features of the software package, including the use of userdefined functions.
Project: working again in team and using AnsysFluent, students will have to set and run an analysis to tackle a real world problem. The problem to be simulated will be exhaustively described in terms of design specifications, 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 Note
This is a limited number access course. The mandatory procedure for access request is here:
www.ccsbio.polimi.it/laureamagistrale/?lang=en#Laboratory_Courses_LAB_courses
