Numerical Modelling in Mechanical Engineering

Description

Students are able to explain modern methods for the numerical simulation of phenomena and systems in mechanical engineering. For simple problems, students are able to elaborate a numerical discretization method into a computational code, and verify and validate their implementation. They can use modern commercial software, and can argument good choices of available techniques, and simulation set-up. Finally, students are able to perform a critical assessment of simulation results, based on appropriate mathematical relationships for analysis of numerical methods. Starting from different governing equations in the domains of mechanical engineering and energy sciences, the student recognizes the structure and common elements which lead to the formulation of a set of generic numerical discretization schemes. He can argument correct choices for the formulation of partial differential equations and boundary conditions, and is able to implement their numerical discretization for simple model problems. The student is able to describe, explain, and use finite-difference and finite-volume discretization techniques. Moreover is able to perform a critical analysis of discretization methods based on techniques for evaluation of accuracy, stability, and convergence. The student understands, and is able to discuss the potential and limitations of different discretization techniques and methods for numerical analysis The student is able to implement, simulate, and analyze simple 1D and 2D problems from mechanical engineering or energy sciences.