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Here is some information for the oral exam on Friday:
- Please come at the assigned time.
- You will be getting some questions related to the three projects, which you will have 15 min to prepare. For this preparation you are free to use your notes, project notes and book.
- This part will be presented for us in the oral exam.
- After this first part, you will get questions (cold-calls) about the other parts of the curriculum.
Best of luck in the final preparations and see you all on Friday.
Please meet Friday 25th of May at these times at the lobby of the Math department at Ullev?l Stadion;
Richard, 13.00.
Sebastian, 14.00
Christian, 15.00
The lecture on this coming Thursday, 3rd May by Bin will be from 8:00 am to 12:00pm.
Here is the code!
Hei,
Pga. at vi var sene med den numeriske koden utsetter vi innlevering til innen Mandag 7. Mai.
Hint til 1.2.: Multipliser \phi=0 med dC/dx og integrer fra -infty til x. Du vil f? en ligning for C som du kan integrere langs x for ? finne formen for C. Husk at det under rot-tegnet m? v?re >0
This is from the book ''Boundary integral and singularity methods for linearized viscous flow '' by C. Pozrikidis. This section gives an introduction of the boundary integral equations and the properties of Green's functions of Stokes flow. In section 2.3, all the steps we derived in the lecture for the integral equation (eq. 2.3.13) are there, have a look!! In the Leal's book, you can also find some information about the boundary integral equation on p.545-550.
Have a look into the original article by Cahn-Hilliard (may give hints to the Oblig) and the seminal article by van der Waals
Please have a look at these review articles on multiphase flow modeling
Her er oblig del 3 & 4. Innleveringsfrist er 2. Mai og presentasjon onsdag 9. Mai.
Here are some papers on the dynamical wetting transitions and contact line dynamics. This recent nice review paper gives an introduction on the features of moving contact line problems and dynamical wetting transitions that we have discussed in the lecture. These two papers (a and b) are about the asymptotic matching that we discussed in the lecture. There are details of the steps and they are very nice! Lots of equations! And This is a very nice paper about splashing!!
Please read the annual review from de Gennes. Chapter 1, 2 and 4 are closely related to the last weeks lectures
Christian will present his assignment on impacting spheres in class on Thursday and here is the paper published in JFM
This is a nice review paper of wetting and spreading. You can find some basics of contact line dynamics in section I A -C (p.740-746) and section III A-E (p. 764-774) that we will discuss in the lectures.
This document is from some sections of the book Capillarity and wetting phenomena: Drops, Bubbles, Pearls,Waves. It contains some basics of capillarity and gravity, menisci near a solid wall and LLD film that we will discuss in the following lectures.
We have revised the project 2 and exercise 3. Here are the new versions of project 2 and exercise 3.
Here you can find the lecture notes for bubble dynamics and thin film (lubrication) equation that we discussed in the previous lessons.
This is an exercise for this week about what we have learnt in the last few lessons.
This coming Thursday (22nd March), we will perform an experiment on spreading of a droplet over a solid surface. Here is the project. Please read it before performing the experiment.
The lecture notes for the numerical free surface handling can be found here. The notes are from a lecture in 2014 of roughly the same material, I may have added some details on the spot.
The article about numerical handling of surface tension in Eulerian methods that was mentioned in the lecture can be found here.
Tormod Landet
Reading material for the lectures of last week and this coming weeks:
Leal: Chapter. 4G: Bubble dynamics and 6A-D: Thin film flows.
Have a look in 4C (and 4A) to refresh the knowledge on asymptotic approximations.
The deadline of hand-in project 1 has been changed to 8th of March. Please submit an electronic version. On 15th March, you will have to present it in class.
Here are the possible exam dates we will use for the course. Please fill out the dates with your availability as soon as possible.
This can be helpful if you are not sure about the expression of viscous dissipation per unit volume.
Tormod Landet will give a lecture on the Volume of Fluid method on Thursday March 8th. The lecture on Wednesday March 7th is canceled.