An in-depth course on numerical methods for computer simulation of fluid flows. Together with 5C1213 Applied Computational Fluid Dynamics, a comprehensive course on theory and practice of computational fluid dynamics.
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Short introduction with review of other numerical methods or the basic equations of fluid dynamics (the class will be divided in two groups). Conservation laws: the Navier-Stokes equations. Different levels of approximation, the Euler and Reynolds Averaged equations. Turbulence models. Basics of finite approximations for partial differential equations. Mathematical properties of hyperbolic systems. Numerical treatment of shocks. Finite volume and finite element methods. Boundary conditions. High-resolution methods. Grid generation. Practical algorithms for compressible and incompressible flow. Computer exercises with methods for the Euler equations in 1D and different approximations for 2D compressible and incompressible flows.
After reading this course the student should be:
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A course in computer science or programming (e.g. DD1342);
2. Background in either fluid dynamics or numerical methods, corresponding to one of the second level courses in numerical methods DN2220-DN2225, DN2250-DN2260, DN2266 or a course in fluid dynamics e.g. SG2214 or equivalent.
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To be announced at course start. In 05/06: Tannehill, John C, Computational Fluid Mechanics and Heat Transfer, Taylor & Francis, was used.
A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
One written examination (TEN1; 3 university credits). Homework and computer assignments (LAB1; 4,5 university credits).
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Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.
Course web SG2212Mechanical Engineering
Second cycle
SG2213 Applied Computational Fluid Dynamics covers selected industrial and research topics in students projects with invited specialists.