{"id":18448,"date":"2025-07-19T16:19:09","date_gmt":"2025-07-19T14:19:09","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=18448"},"modified":"2025-10-25T20:45:18","modified_gmt":"2025-10-25T17:45:18","slug":"%ce%b4%ce%bc0014-computational-fluid-dynamics-with-finite-elements-elective-energy-track","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=18448&lang=en","title":{"rendered":"\u0394\u039c0014\u00a0Computational Fluid Dynamics with Finite Elements (Elective Course 1)"},"content":{"rendered":"\t\t
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\u0394\u039c0014 COMPUTATIONAL FLUID DYNAMICS WITH FINITE ELEMENTS (ELECTIVE COURSE 1)<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u0394\u039c0014 COMPUTATIONAL FLUID DYNAMICS WITH FINITE ELEMENTS (ELECTIVE COURSE 1)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Course Information<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Course Outline<\/u><\/span><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category<\/strong>
Course Type<\/strong>
Secretary Code<\/strong>
Semester<\/strong>
Duration<\/strong>
ECTS Units
Sector
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Undergraduate
Elective Course 1
\u0394\u039c0014
8th (Spring)
5 hours\/week
6
Energy Industrial Processes and Pollution Abatement Technology<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category: <\/strong>Undergraduate
Course Type: <\/strong>Elective Course 1
Secretary Course: <\/strong>\u039c\u03a51400
Semester: <\/strong>8th (Spring)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Sector:<\/strong>Energy Industrial Processes and Pollution Abatement Technology<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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<\/i>Aim<\/span><\/div>

The objective of this course is to introduce the students to the Finite Element Method for solving problems in the fields of Fluid Dynamics and Transport Phenomena.<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Syllabus<\/span><\/div>

Overview of the Transport Phenomena equations.<\/strong><\/span><\/p>

Overview of the Finite Element Method in one dimension:<\/strong><\/span> Weak form \u2013 Construction and assembly of local matrices \u2013 Application of Boundary Conditions \u2013 Convection and diffusion with the finite elements \u2013 Solution of time dependent problems. Finite element code development. Numerical integration \u2013 Gauss integration \u2013 Accuracy and stability of the finite element method. Petrov\u2010Galerkin method. Stabilization of convection terms.<\/p>

Finite elements in two dimensions:<\/strong> <\/span>Weak form of the differential equation. Construction of the 2\u2010d basis functions. Transformation from local to global representation \u2013 Application of boundary conditions. Solution of non\u2010linear problems with iterative methods, e.g. Picard iterations, Newton\u2010Raphson.<\/p>

Mesh generation techniques:<\/strong><\/span> Spine method and elliptic method. Solution of elliptic recirculation problems: Solution of Navier\u2010Stokes in two dimensions. Application on the solution of the transport equation, the cavity problem and the dynamic rise of a free surface into a pore due to capillary forces.<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Literature<\/span><\/div>

Suggested Literature:<\/strong><\/span><\/p>

  • Asimakopoulos, D., & N., Markatos. Computational Fluid Dynamics. Papasotiriou, 1995. (in Greek).<\/li>
  • Bergeles, G. Computational Fluid Dynamics, Vol. 1 & 2, Symeon, 1997. (in Greek).<\/li>
  • Anderson, D.A., J. C., Tannehill & R. H., Pletcher. Numerical Heat Transfer & Fluid Flow. Taylor & Francis, 1997.<\/li>
  • Reddy, J. N. An Introduction to the Finite Element Method, McGraw Hill., 1993.<\/li>
  • Donea, J., & A., Huerta. Finite element methods for flow problems. John Wiley & Sons, 2003.<\/li>
  • Zienkienwicz, O.C., & R. L., Taylor. The Finite Element Method, Volumes I, III. Butterworth, Heinemann, 2000.<\/li>
  • Gresho, P. M., & R. L., Sani. Incompressible Flow and the Finite Element Method, Volumes I and II. Willey, 1998.<\/li>
  • Prenter, P. M. Splines and Variational Methods. Wiley, 1989.<\/li><\/ul>

    Related Academic Journals:<\/span><\/strong><\/p>

    • Journal of Fluid Mechanics<\/li>
    • Journal of Computational Fluids<\/li>
    • Physics of Fluids<\/li>
    • Journal of Computational Physics<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
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      <\/i>Teaching Language<\/span><\/div>

      Greek<\/p><\/div>\n\t\t\t\t\t<\/div>

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      <\/i>Teaching Method<\/span><\/div>

      Lectures<\/p><\/div>\n\t\t\t\t\t<\/div>

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      <\/i>Student Performance Evaluation<\/span><\/div>

      \u00a0<\/p>
      Projects<\/strong><\/td>100%<\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div>
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      <\/i>Workload (in hours)<\/span><\/div>

      \u00a0<\/p>
      Activity<\/strong><\/td>Semester Workload<\/strong><\/td><\/tr>
      Lectures<\/td>70<\/td><\/tr>
      Exercises<\/td>50<\/td><\/tr>
      Homework<\/td>30<\/td><\/tr>
      Course total <\/strong>(25 hours of work load per unit of credit)<\/strong><\/td>150<\/strong><\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

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