Leerdoelen wi4011
In this document the learning objectives of the course WI4011 Computational Fluid
Dynamics are formulated. For each course objective, the relation to the end terms is
shown by a label.
A. General objective
Upon completion of the course the student should be able to formulate, evaluate and
apply a numerical method based on staggered discretization for the incompressible
Navier-Stokes equations to model (nearly) incompressible two-dimensional flow.
B. Specific Objectives
Upon completion of the course the student should be able to:
1. Derive the equations of fluid dynamics in differential and integral form from first
principles using the transport theorem, as opposed to considering an infinitesimal
control volume.(1)
2. Explain the difference in behaviour of a scalar convection-diffusion equation for
different values of the Peclet number (elliptic/hyperbolic differences,
characteristics vs. sub-characteristics). (5)
3. Choose boundary conditions for discretization of a simple convection-diffusion
equation as well as for the incompressible Navier-Stokes equations, such that a
well-posed boundary value problem results without unphysical boundary layers in
the solution. Consider the three standard boundary conditions, as well as
boundary conditions specifically for the N-S Equations.(1)
4. Use the finite volume method to discretize a convection diffusion equation and
derive the discretization errors that results when either a smooth or a rough
tessellation is used.(2)
5. Explain that although the properties of the convection diffusion equation change
with the Peclet number a discretization method can be formulated that is uniform
in both work and accuracy, for a simple convection-diffusion equation as well as
the incompressible Navier-Stokes equations. Note: take into account the
boundary layer resolution and the positivity of the scheme.(1)
6. Explain the advantages of a staggered discretization scheme over a collocated
discretization scheme for the incompressible Navier-Stokes equations.(1)
7. Apply Fourier analysis to determine linear stability properties of a temporal
discretization method for convection diffusion equation.(1)
8. Derive the pressure-correction method algorithm from the discretized
momentum and continuity equations. (2)
9. Explain how distributive iteration methods can be applied to saddle-point
problems, and derive the simple method from the discretized momentum and
continuity equations. Choose the most efficient iterative method to solve the
linear system resulting from the discretisation of the Navier-Stokes equations.
10. Choose and motivate a method to generate a fold-free curvilinear mesh for a
given two-dimensional domain.(3)
11. Explain advantages and disadvantages of Delaunay triangulation versus advancing
front tessellation for generation of a fold free grid for a given two-dimensional
domain. (2)
Specificatietabel1 (ook wel ‘toetsmatrijs’) voor [Computational
Fluid Dynamics]
Een specificatietabel is een matrix met enerzijds te toetsen onderwerpen en anderzijds het cognitieve
niveau van de toetsvragen. De specificatietabel weerspiegelt de doelen van het vak.
Het gebruik van de specificatietabel is noodzakelijk om de toets zo representatief mogelijk te laten zijn. In
de cellen komt te staan hoeveel vragen gewijd gaan worden aan een bepaald onderwerp, gegeven een
bepaald niveau. Als u van mening bent dat een bepaald onderwerp erg belangrijk is, dan maakt u daar
relatief veel vragen over.
Bij gelijkblijvende leerdoelen en inhoud over de jaren heen mag de specificatietabel niet wijzigen. Dit
zorgt voor een onderlinge vergelijkbaarheid van de toetsen.
Vak: Computational Fluid Dynamics
Vakcode: wi4011
Leerstof / niveau
Feitenkennis
(leerstof kunnen
reproduceren)
Inzicht
(leerstof
kunnen
uitleggen in
eigen
woorden)
Toepassing
(leerstof
kunnen
gebruiken in
vergelijkbare
situatie)
Probleem
oplossing
(analyseren
en
oplossen
van nieuwe
vraag)
Totaal
Derive equations of
fluid dynamics in
differential and
integral form from
first principles using
transport theorem
Explain difference in
behaviour of a scalar
convection-diffusion
equation for
different values of
Peclet number
Boundary conditions
for discretization of a
simple convectiondiffusion equation
and for the
1
Berkel, H.van: (1999) Zicht op toetsen, toetsconstructie in het hoger onderwijs. Van Gorcum, Assen p.7882.
incompressible
Navier-Stokes
equations
Three standard
boundary conditions
and boundary
conditions
(specifically for N-S
Equations)
Finite volume
method to discretize
a convection
diffusion equation
Derive the
discretization errors
that results when
either a smooth or a
rough tessellation is
used
A discretization
method can be
formulated that is
uniform in both
work and accuracy,
for a simple
convection-diffusion
equation and
incompressible
Navier-Stokes
equations
Advantages of a
staggered
discretization
scheme over a
collocated
discretization
scheme for the
incompressible
Navier-Stokes
equations.
Apply Fourier
analysis to
determine linear
stability properties
of a temporal
discretization
method for
convection diffusion
equation
Derive the pressurecorrection method
algorithm from the
discretized
momentum and
continuity equations
Explain how
distributive iteration
methods can be
applied to saddlepoint problems, and
derive the simple
method from the
discretized
momentum and
continuity
equations.
Choose the most
efficient iterative
method to solve the
linear system
resulting from the
discretisation of the
Navier-Stokes
equations
Choose and
motivate a method
to generate a foldfree
curvilinear mesh for
a given twodimensional domain
Explain advantages
and disadvantages of
Delaunay
triangulation
versus advancing
front tessellation for
generation of a fold
free
grid for a given twodimensional domain
Totaal
Invulinstructie: Keuze tussen cijfers en percentages:
Cijfers: U geeft 1 (beetje belangrijk), 2 (gemiddeld belangrijk) en 3 (zeer belangrijk) per onderwerp en
(eventueel meerdere) niveau. Bij een 3 stelt u drie keer zoveel vragen over dit onderwerp op het
aangegeven niveau.
Percentages: U verdeelt percentages over de onderwerpen en niveaus. Als u zich strikt houdt aan de
percentages kan het lastig worden deze om te zetten in (hele) aantallen vragen.