| Course objectives: |
| The aim is to overview of typical engineering problems, solution methods, and numerical simulations in the engineering sciences. Execute numerical simulations through a specific problem. Creating models for further development and validation of numerical results. |
| Course content and structure: |
| Typical tasks, modelling in engineering sciences. Description of natural laws with differential equations.The basics of numerical solution of ordinary differential equation systems, stability and accuracy. The most important finite differential methods to solve initial value problems. Boundary value problems of ordinary differential equations.Partial differential equations (electromagnetic field, material transfer, heat transfer, fluid dynamics, structural deformations). The basics of numerical solution of partial differential equations, stability analysis, accuracy.Finite Differential Methods, Spectral Methods. FEM, CFD.Analysis of the simulation results. System Audit Checks Analytical Check.Pilot control. Validation and Verification. Further development of the model. Verification software. White box, black box and grey box models. Empirical modelling. Chaotic phenomena. |
| Evaluation method: |
| Examinations contain written test and oral questioning. Failed written test is not allowed. The mark of examination is calculated as the mean of the ratings of written test and the oral questioning. The minimum level of the mark of the exam is 40%. |
| Required reading: |
| 1. Michael T. Heath: Scientific Computing: An Introductory Survey, 2nd ed. McGraw-Hill, New York. 2002.2. W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery: Numerical Recipes 3rd ed. The Art of Scientific Computing, Cambridge University Press, 2007. |
| Suggested reading: |
| 1. F. Forrester, A. Sobester, A. Keane. Engineering Design via Surrogate Modelling: A Practical Guide1st ed. Wiley, Chichester, 2008.2. W. Oberkampf, C.J. Roy. Verification and Validation in Scientific Computing1st ed. Cambridge Univ. Press 2010. |
