Advanced Topics in Computational Methods (MSK910)

• The objective of this course is to provide a comprehensive theoretical and practical understanding and engineering applications of computational methods such as advanced topics in finite element methods and computational fluid dynamics.
•  The course content covers some or all of the following topics, based on the potential candidate(s) direction of study:
• FEM: Finite elements in continuum and solid mechanics, Eulerian and Lagrangian finite element formulations, Numerical modeling of material behavior, Material and geometric nonlinearity analysis, Plasticity models, Computational methods in dynamic problems, Finite elements in engineering optimization
• CFD: Finite volume techniques in fluid dynamics, discretization and solution methods, selected topics in multiphase flows including Euler-Euler, Euler-Lagrange as well as Volume of fluid (VOF) methods.

Learning outcome:

Upon finishing the course, the candidate is expected to be able to:

• Understand finite element formulations and/or finite volume methods
• Formulate and solve nonlinear problems in continuum mechanics/fluid dynamics
• Use numerical modeling techniques to model material/fluid behavior,
• Use finite element programming tools to formulate and solve engineering optimization problems, plasticity problems and dynamics systems.

Recommended prerequisites:

Basic background in finite element (FEM) methods and/or computational fluid dynamics (CFD)

Fagperson(er)

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• Seminars, tutorials, student presentations, project works and computer-based problems. Project works are submitted in a scientific article format and graded.

1. E. Hinton (1992) NAFEMS introduction to nonlinear finite element analysis
2. P. Ladevèze, J.T. Oden, Advances in adaptive computational methods in mechanics
3. T. Belytschko, W.K. Liu, B. Moran (2006) Nonlinear finite elements for continua and structures
4. M.R. Gosz (2006), Finite element method: Applications in Solids, Structures and Heat Transfer.
5. H.K. Versteeg, W. Malalasekera, An introduction to CFD ¿ The finite volume method
6. G.H. Yeoh, J. Tu, Computational techniques for multiphase flows
7. Selected articles and book chapters