Course detail

Mathematical Modelling

FSI-PMMAcad. year: 2022/2023

Due to the development of computer technology, the numerical simulation has become helpful in designing and optimising foundry processes. Mathematical simulation is aimed at the tuning of the designed technology in the phase of production preparation in order to avoid expensive experimental testing. The simulation of foundry processes connects numerical methods, physics and computer technology. It enables the study of processes during melt flow, solidification and cooling of castings.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

Ing. Vladimír Krutiš, Ph.D.

Department

Institute of Manufacturing Technology (ÚST)

Learning outcomes of the course unit

Student will acquire the knowledge of 3D modelling of castings, definition of initial and boundary conditions of numerical simulation, evaluation of simulation results. The optimisation of gating and feeding systems is done using real castings and is performed for all foundry processes (gravity sand and die casting, high pressure die casting, investment casting, semi-solid processes). Calculation of production costs and sale price of castings together with Pacyna’s classification of castings is described. Relationships between other modules for thermo-mechanical calculation of castings are shown. The calculations are carried out with the support of modern software products.

Prerequisites

Basic knowledge of Foundry technology, knowledge of liquid flows and heat transfer, basic computer skills

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

Course – unit credit requirements-optimisation of real casting technology, participation in the lessons
Exam - written and oral parts

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to explain all the stages of simulation preparation and to give a compact view of the possibilities of computer assisted systems in the area of foundry processes.

Specification of controlled education, way of implementation and compensation for absences

Participation in seminars is required. An apologized absence from seminars may be compensated by individual work.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

BONOLLO, F., ODORIZZI, S. Numerical Simulation of Foundry Processes. 1st ed. Padova: S.G.E., 2001, 264 p. ISBN 88-86281-63-3
Nová, I.:Tepelné procesy ve slévárenských formách, TU Liberec, 2003 (CS)
Rappaz M., Dantzig A. : Solidification, 2nd edition. EPFL Press, 2016. ISBN 978-0-84938-238-3 (EN)

Recommended reading

Abhilash E., Joseph M. A.: Modelling and Simulation of Casting Process: an Overview, Indian Foundry Journal, Vol. 55, No.10, 2009, pp 28-37 https://www.researchgate.net/publication/270757498_Modelling_and_Simulation_of_Casting_Process_an_Overview) (EN)
Hattel JH, Pryds N, Thorborg J, Lipinski M, Schneider M, Hattel JH, (ed.).: Fundamentals of Numerical Modelling of Casting Processes. Polyteknisk Forlag, 2005. 540 p. (EN)
Herman, A. a kol.: Počítačové simulace ve slévárenství, Vydavatelství ČVUT, 2000

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme N-SLE-P Master's 1 year of study, summer semester, compulsory

  • Programme LLE Lifelong learning

    branch CZV , 1 year of study, summer semester, compulsory

Type of course unit

 

Lecture

13 hod., optionally

Teacher / Lecturer

Ing. Vladimír Krutiš, Ph.D.

Syllabus

1. Introduction to numerical simulation of foundry processes
2. Application of CAD system in foundry processes
3. Methods of numerical simulation
4. Basic knowledge of heat transfer
5. Initial condition definition
6. Boundary condition definition
7. Thermo-physical properties
8. Calculation of porosity defects in casting
9. Simulation of gravity sand casting technology
10. Simulation of high-pressure die casting technology
11. Investment casting technology
12. Special processes – semi-solid processes
13. Post-processing and industrial cases

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Vladimír Krutiš, Ph.D.

Syllabus

1. Geometry design – data import and export
2. Preparation of surface and volume meshes
3. Repairing of bad meshes
4. Definition of initial and boundary conditions
5. Calculation definition – modules, calculation steps
6. Examples of gravity casting calculation
7. Examples of pressure casting calculation
8. Examples of investment casting calculation
9. Calculation of special processes
10. Porosity calculation
11. Optimisation of gating and feeding systems
12. Post-processing
13. Results validation

Elearning

eLearning: currently opened course