Computational Fluid Dynamics 390-FG1-3ODP
Topics covered in lectures and laboratory classes:
- partial differential equations describing continuous media: the Poisson equation, wave equation, advection equation, diffusion equation, Euler equations, Navier–Stokes equations
- finite difference schemes for partial differential equations: the cases of elliptic, hyperbolic, and parabolic equations; stability of finite difference schemes; conservation laws on a difference grid
- a system of particles moving in a mean field: the collisionless “particle-in-cell” (PIC) model, applications of the PIC model to galaxy simulations, the PIC model with dominant collisions (hydrodynamic case)
- dynamics of a classical fluid: hydrodynamic equations, the cases of compressible and incompressible fluids, finite difference methods for the incompressible case, incompressible flow as a system of “vortex particles” (von Kármán instabilities), the marker-particle method applied to free surfaces, shock waves, gravitational hydrodynamics
- analysis of selected problems (parabolic velocity profile, von Kármán vortex street, multiphase flows, a droplet of liquid falling into a tank, motion of solid objects in the presence of fluids) using ANSYS software.
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Term 2025:
Topics covered in lectures and laboratory classes: - partial differential equations describing continuous media: the Poisson equation, wave equation, advection equation, diffusion equation, Euler equations, Navier–Stokes equations |
Type of course
Course coordinators
Learning outcomes
Student
1. has basic knowledge in physics and related disciplines necessary for applications covered by the curriculum of the chosen specialization (K_W33),
2. has knowledge enabling the modeling and simulation of selected physical phenomena and physical properties of bodies within the scope specified in the specialization curriculum (K_W36),
3. is able to use computer tools to solve problems in mathematics and physics, including IT environments for data analysis and for numerical and symbolic computations (K_U24).
Assessment criteria
Lecture: After completing the course Computational Fluid Dynamics, an exam is held that consists of discussing a computational project carried out using ANSYS. The student presents the obtained results and justifies their correctness.
Laboratory: After completing the course Computational Fluid Dynamics, a credit assessment is held that consists of discussing four projects carried out during the laboratory classes.
Bibliography
Basic:
D. Potter, Computational Physics
Numerical Recipes – W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery
Supplementary:
Computational Methods for Fluid Dynamics – J.H. Ferziger, M. Perić
Computational Fluid Dynamics: A Practical Approach – J. Tu, G.H. Yeoh, C. Liu
Computational Fluid Dynamics: Incompressible Turbulent Flows – T. Kajishima, K. Taira
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: