Course Information
SchoolMechanical Engineering
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorKyriakos Yakinthos
Course ID20000359

Programme of Study: UPS of School of Mechanical Engineering

Registered students: 62
OrientationAttendance TypeSemesterYearECTS
EnergyCompulsory Course belonging to the selected specialization (Compulsory Specialization Course)1055
Design and StructuresElective Course belonging to the selected specialization (Elective Specialization Course)1055

Class Information
Academic Year2019 – 2020
Class PeriodSpring
Faculty Instructors
Weekly Hours4
Class ID
Type of the Course
  • Background
  • Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
General Prerequisites
Maths I, II, III Numerical Analysis and Programming Fluid Mechanics Advanced Fluid Mechanics Aerodynamics
Learning Outcomes
The students will be able to: 1. Know how to calculate the flow field development on/in bodies with the use of numerical techniques for the discretization of governing equations 2. Know the fundamental numerical techniques of finite differences and finite volumes 3. Know the convection - diffusion interpolation schemes 4. Know the pressure correction scheme 5. Know how integrated software packages compute the internal and external flows
General Competences
  • Apply knowledge in practice
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Make decisions
  • Work autonomously
  • Work in teams
  • Work in an international context
  • Design and manage projects
Course Content (Syllabus)
1. Introduction. Error analysis. Essential algorithms for the solution of system of equations. Numerical integration. 2. Linear and non-linear differential equations. Classification of differential equations governing mass transport and heat transfer phenomena. Typical equations governing convection and diffusion problems. The "source term" concept. The importance of boundary conditions and initial conditions. 3. Discretization techniques of differential equations. Taylor expansion. Discretization of first and second order. Error analysis of discretized equations. 4. Finite differences technique. Solution of parabolic, elliptic and hyperbolic flow problems with the use of finite differences technique. Discretization techniques for compressible flow problems. 5. Control volume technique. Numerical integration on a control volume. Control volume techniques adapted for specific problems. The numerical scheme and the interpolation scheme on the control volume technique. The hybrid and the central scheme. Higher order numerical schemes. The SIMPLE and SIMPLEC pressure correction technique. 6. Elements from the grid generation and grid aspects. Classification of grids and grid quality. Transformation from the cartesian to the generalized curvilinear space. Transformation of the fluid flow and heat transfer cartesian equations to the generalized curvilinear forms. The Jacobi determinant. 7. Elements from vector programming. Management of vector units on the computer processor. Programming on a parallel environment for high performance computing. The MPI parallel programming protocol.
CFD, linear and non-linear differential equations, convection, diffusion
Educational Material Types
  • Notes
  • Slide presentations
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Course Teaching
  • Use of ICT in Laboratory Teaching
  • Use of ICT in Communication with Students
Lectures: PowerPoint and video presentations Computer lab: Projects assigned to the students, focused on programming and CFD Communication: Announcements, various information on the eclass platform Personal communication by email
Course Organization
Written assigments270.9
Student Assessment
Projects (70% of the final grade) Exams (30% of the final grade)
Student Assessment methods
  • Written Exam with Extended Answer Questions (Formative, Summative)
  • Written Assignment (Formative, Summative)
  • Oral Exams (Formative, Summative)
  • Written Exam with Problem Solving (Summative)
  • Labortatory Assignment (Formative, Summative)
Course Bibliography (Eudoxus)
Υπολογιστική Ρευστομηχανική, Γ. Μπεργελές, εκδ. Συμεών
Additional bibliography for study
Σημειώσεις Υπολογιστικής Ρευστομηχανικής Κ. Υάκινθος
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