Numerische Methoden der Hydromechanik

What it is about

You learn numerical methods for solving equations of hydromechanics, in particular the shallow water equations. In the end you will be able to understand and implement discretization methods, evaluate numerical simulations and independently program one-dimensional and two-dimensional solvers.

What you will be able to do

• work in groups on tasks and discuss results
• evaluate the quality of numerical simulations
• implement explicit and implicit time integration methods
• implement different solution methods for the shallow water equations
• understand basic components of numerical procedures
• derive finite-difference and finite-volume methods
• determine numerical error by Taylor and Fourier analysis
• characterize stability and convergence properties
• select suitable numerical methods for different flow problems
• assess the effect of discretization schemes on simulation results
• compare different methods and justify choosing a method
• interpret results of implementations and present professionally

What the module consists of

• LectureConveying concepts, ideas and methods through chalkboard work, presentations and case studies
• Computer ExerciseImplementation of numerical components of a flow solver and independent group work on programming tasks

Teaching method

• Chalkboard / Presentation SlidesIntroduction and explanation of basic terms and methods
• Case StudiesApplication of theory to realistic problems
• Computer Exercise / Programming Tasks in GroupsPractical implementation of numerical methods and development of solvers
• Support by InstructorsFeedback and assistance with implementation and understanding