Singapore University of Social Sciences

Numerical Analysis (EAS439)

Synopsis

EAS439 Numerical Analysis teaches the students how to use numerical analysis forsolving differential equations, which in the context of Aerospace design helps to obtainthe relevant parameters regarding the structural implicit dynamics (e.g. stress and strain information) and the fluid related phenomenon (e.g. mass transfer, thermal analysis, etc.)The first part of this course provides an introduction to numerical analysis. It covers thebasic principles and theory on finite difference and finite volume methods. Classroomexercises will be conducted to help the students to understand the methodology ofnumerical methods used for solving ordinary differential equations.The second part of this course covers the theory of finite element analysis (FEA) usedin the context of structural analysis, which allows users to obtain information regardingthe stress and strain for different structures involving linear and non-linear type ofmaterials. This section also provides information on the application of FEA to differentindustries.The last part of this course provides a fundamental understanding on computationalfluid dynamics (CFD). Introduction of CFD analysis with different turbulence modelswill be covered.Aside from the six seminars, six laboratory sessions are included in this course toprovide the students the opportunity to practice by learning how to operatecommercially available FEA and CFD software packages for real life structural andfluid related phenomenon.

Level: 4
Credit Units: 5
Presentation Pattern: Every January

Topics

  • Introduction to Numerical Methods
  • Theory of Numerical Methods
  • Industrial applications of Numerical Methods
  • Introduction to Finite Element Analysis (FEA)
  • Theory of Finite Element Analysis
  • Industrial applications of FEA
  • Linear and non-linear materials for FEA
  • Introduction to Computational Fluid Dynamics (CFD) Analysis
  • Theory of CFD Analysis
  • Industrial applications of CFD
  • Discretization Scheme
  • Turbulence Modelling

Learning Outcome

  • Explain the methodology of numerical analysis to solve ordinary differential equation.
  • Discuss the application of linear and non-linear type of materials in FEA.
  • Evaluate the requirements and boundary conditions for FEA and CFD analysis.
  • Formulate input data such as analysis data and boundary conditions for FEA and CFD analysis.
  • Construct methods to carry out FEA analysis to obtain stress and strain information for different industrial applications.
  • Design methods to carry out CFD analysis to obtain physical variables, such as pressure, velocity and temperature data for different industrial applications.
  • Appraise solutions provided by commercially available FEA and CFD software.
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