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                    MEK4470 - Computational Fluid Mechanics
                  
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        <h1>Messages
          
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              <div class="vrtx-result-1 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/final-examination-times.html">Final examination times</a>
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Published              </span>
June 9, 2025 11:40 AM            </div>


            <div class="description introduction">
                <p>Wednesday 11 June, room 919 NHA</p>

<ul>
	<li>13.15 Lara</li>
	<li>13.45 Iver</li>
	<li>14.15 Kristian</li>
	<li>14.45 Simon</li>
	<li>15.15 Amirhossein</li>
</ul>

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              <div class="vrtx-result-2 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/information-about-final-exam.html">Information about final exam</a>
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Published              </span>
May 14, 2025 9:59 AM            </div>


            <div class="description introduction">
                <p>The oral exam starts with a 15 minutes presentation of your own project. You decide how and what to present, but remember that the external examiner is not familiar with the project beforehand. He has not seen your project description.</p><p>After the presentation there will be approximately 15 minutes for questions from the syllabus. The most important topics are then</p><ul><li>The finite volume method (FV) <ul><li>For diffusion</li><li>For convection</li></ul></li><li>FV discretisation schemes like central, upwind and QUICK.&nbsp;You need to be able to explain <ul><li>the most important properties of FV discretisation schemes</li><li>what TVD schemes are and how they work</li><li>what the Peclet number represents and why it is important</li></ul></li><li>How FV is used on an unstructured grid. Chapter 11.7-9 in the book.</li><li>The discretization of the Navier-Stokes equations in space and time,...</li></ul>
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              <div class="vrtx-result-3 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/the-syllabus-and-the-cfd-book.html">The syllabus and the CFD book</a>
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Published              </span>
Mar. 10, 2025 2:03 PM            </div>


            <div class="description introduction">
                <p>The syllabus is chapters 4, 5, 6, 8 and 11.1-11.10 and the lecture notes on fractional step methods. Chapter 8 is more or less replaced by these lecture notes.</p>

<p>Other than that chapter 7 discusses solutions techniques for the linear algebra problem assembled through the finite volume method. This is something that we always outsource (Numpy, Scipy or OpenFOAM's own linear algebra solvers), and as such it is not part of the syllabus. Chapter 9 gives a little bit more detail about how to fix boundary conditions in more than 1 dimensions, but it is very much adapted to the staggered mesh approach, which is not really much used in practise. Hence ch. 9 is not syllabus. Chapter 10 could be helpful for the project and is a recommended read, but is not part of the syllabus. Chapters 12 and 13 cover CFD for combustion and is not syllabus.</p>

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              <div class="vrtx-result-4 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/meeting-and-project-description.html">Meeting and project description</a>
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Published              </span>
Mar. 9, 2025 5:44 PM            </div>


            <div class="description introduction">
                <p>This Monday we have the final lecture on the final topic, which is chapter 11 of the CFD book. The second half of this course is dedicated to individual CFD projects and there will be no more lectures.</p>

<p>Week 11 you need to schedule a meeting with me to discuss a project. The sooner you get started with the project the better. A project description will need to be ready by 21/3.</p>

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              <div class="vrtx-result-5 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/deadline-for-mandatory-exercises-is-monday-7-4.html">Deadline for mandatory exercises is Monday 7/4</a>
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Published              </span>
Mar. 9, 2025 5:36 PM            </div>


            <div class="description introduction">
                <p>The answers to the mandatory exercises should be submitted to me by mail as a pdf.</p>

            </div>
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              <div class="vrtx-result-6 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/lecture-mondag-3-3-cancelled.html">Lecture Mondag 3/3 cancelled</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Mar. 2, 2025 9:26 PM            </div>


            <div class="description introduction">
                <p>I have to cancel the lecture on Monday 3/3. However, this weeks topic have very good <a href="/studier/emner/matnat/math/MEK4470/data/lecturenotes.pdf">lecture notes</a> that are well suited for self-study.</p>

<p>This week it is important that you work on the mandatory exercises using OpenFOAM. It is also very important that you start to think about a project to fill the second half of this semester. <strong>Please send me an email so that we can schedule an individual meeting this week to discuss possible projects.</strong></p>

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              <div class="vrtx-result-7 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/mandatory-exercises.html">Mandatory exercises</a>
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Published              </span>
Feb. 12, 2025 10:48 AM            </div>


            <div class="description introduction">
                <p>The mandatory exercises are given <a href="/studier/emner/matnat/math/MEK4470/data/mek4470_oblig_2025.pdf">here</a>. This weeks assignment about implementing TVD can bee seen to correspond to the first assignment. The remaining exercises we will get back to soon as they require the use of the OpenFOAM software. The final deadline for the mandatory exercises is not until late March and I will get back later with the exact date.</p>

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          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/convection-diffusion-solver.html">Convection diffusion solver</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Feb. 3, 2025 5:20 PM            </div>


            <div class="description introduction">
                <p>has been published <a href="/studier/emner/matnat/math/MEK4470/data/convdiff.py">here</a></p>

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              <div class="vrtx-result-9 vrtx-resource">
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            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/the-computer-session-on-wednesday-is-cancelled.html">The computer session on Wednesday is cancelled</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Jan. 28, 2025 10:56 AM            </div>


            <div class="description introduction">
                <p>However, you should still do the weekly assignment, which is to implement a solver for example 5.1 in the V&amp;M book, cases 1, 2, and 3. Please send me an email or visit my office (906 in NHA) if you want some assistance.</p>

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              <div class="vrtx-result-10 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/suggested-solution-example-4.3.html">Suggested solution example 4.3</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Jan. 22, 2025 11:51 AM            </div>


            <div class="description introduction">
                <p>can be found <a href="/studier/emner/matnat/math/MEK4470/data/example_4_3.py">here</a></p>

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        </div>



              <div class="vrtx-result-11 vrtx-resource">
          <div class="vrtx-title">
            <a class="vrtx-title" href="/studier/emner/matnat/math/MEK4470/v25/beskjeder/velkommen-til-mek4470!.html">Velkommen til MEK4470!</a>
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            <div class="published-date">
              <span class="published-date-prefix">
Published              </span>
Jan. 16, 2025 10:08 AM            </div>


            <div class="description introduction">
                <p>Neste uke starter kurset. Vi kommer til ? starte litt forsiktig, og vi starter i kapittel 4 av <a href="https://bibsys-k.alma.exlibrisgroup.com/leganto/nui/citation/20935942900002204">pensumboka</a>. Det er viktig ? skaffe denne boka og gj?re seg litt kjent med den. Les gjerne gjennom de f?rste to kapitlene som selvstudie. Det f?rste kapittelet er bare en ganske kort introduksjon til hva CFD er og brukes til. Kapittel 2.1-2.5 gir en utledning av Navier-Stokes og energi likningene ved ? benytte en kontrollvolum fremgangsm?te. Dette er nyttig siden denne fremgangsm?ten ogs? er sentral for endelig volum metoden som vi starter med i neste uke og kapittel 4. Kap 2.6-2.11 er ikke veldig viktige for kurset, men nyttig kunnskap ? ha s? det skader ikke ? se igjennom de ogs?. Kapittel 3 handler om turbulens, som er veldig sentralt for CFD. De aller, aller fleste CFD simuleringer er av turbulent str?mning. Se gjerne igjennom kap 3 ogs?, men jeg kommer til ? g? utifra at turbulens ...</p>
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