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ME20021: Modelling techniques 2

[Page last updated: 27 October 2020]

Follow this link for further information on academic years Academic Year: 2020/1
Further information on owning departmentsOwning Department/School: Department of Mechanical Engineering
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Intermediate (FHEQ level 5)
Further information on teaching periods Period:
Semester 2
Further information on unit assessment Assessment Summary: CW 40%, EX 60%
Further information on unit assessment Assessment Detail:
  • Coursework (CW 40%)
  • Exam (EX 60%)
Further information on supplementary assessment Supplementary Assessment:
ME20021 Re-Assessment Examination (where allowed by programme regulations)
Further information on requisites Requisites: This unit is not normally available to visiting/exchange students.
Description: Aims:
To continue to develop algorithm design and programming techniques in MATLAB.
To acquire a large variety of numerical and mathematical techniques to be used for those engineering problems modelled in terms of PDEs.
To provide a strong mathematical and computational foundation for solving equations arising in the modelling of engineering systems.

Learning Outcomes:
On successful completion of this unit the student will have:
* Demonstrated a knowledge and understanding of how the various standard partial differential equations (PDEs) arise in engineering.
* Demonstrated a knowledge and understanding of the use of numerical and analytical techniques in the solution of such PDEs.
* Demonstrated a knowledge and understanding of the application of Fourier series and transforms.

Skills:
Problem solving; numeracy; working independently.

Content:
Fourier's equation of heat conduction, Laplace's equation and Poisson's equation: derivation, numerical solution and analytical solutions. The wave equation: derivation, D'Alembert's solution, separation of variables solution, numerical solution using Method of Characteristics. Fourier series: application in ODEs and PDEs governing various engineering systems. Fourier Transforms: definition, general results, application in solving ODEs and PDEs. Discrete Fourier transforms.
Further information on programme availabilityProgramme availability:

ME20021 is Compulsory on the following programmes:

Department of Electronic & Electrical Engineering
  • UEXX-AFB02 : BEng(Hons) Integrated Mechanical and Electrical Engineering (Year 2)
  • UEXX-AKB02 : BEng(Hons) Integrated Mechanical and Electrical Engineering with Year long work placement (Year 2)
  • UEXX-AFM02 : MEng(Hons) Integrated Mechanical and Electrical Engineering (Year 2)
  • UEXX-AKM02 : MEng(Hons) Integrated Mechanical and Electrical Engineering with Year long work placement (Year 2)
Department of Mechanical Engineering
  • UEME-AFB26 : BEng(Hons) Aerospace Engineering (Year 2)
  • UEME-AKB26 : BEng(Hons) Aerospace Engineering with Year long work placement (Year 2)
  • UEME-AFB48 : BEng(Hons) Integrated Design Engineering (Year 2)
  • UEME-AKB48 : BEng(Hons) Integrated Design Engineering with Year long work placement (Year 2)
  • UEME-AFB16 : BEng(Hons) Mechanical Engineering (Year 2)
  • UEME-AKB16 : BEng(Hons) Mechanical Engineering with Year long work placement (Year 2)
  • UEME-AFB38 : BEng(Hons) Mechanical Engineering with Manufacturing and Management (Year 2)
  • UEME-AKB38 : BEng(Hons) Mechanical Engineering with Manufacturing and Management with Year long work placement (Year 2)
  • UEME-AFB47 : BEng(Hons) Mechanical with Automotive Engineering (Year 2)
  • UEME-AKB47 : BEng(Hons) Mechanical with Automotive Engineering with Year long work placement (Year 2)
  • UEME-AFM04 : MEng(Hons) Aerospace Engineering (Year 2)
  • UEME-AKM04 : MEng(Hons) Aerospace Engineering with Year long work placement (Year 2)
  • UEME-AFM48 : MEng(Hons) Integrated Design Engineering (Year 2)
  • UEME-AKM48 : MEng(Hons) Integrated Design Engineering with Year long work placement (Year 2)
  • UEME-AFM16 : MEng(Hons) Mechanical Engineering (Year 2)
  • UEME-AKM16 : MEng(Hons) Mechanical Engineering with Year long work placement (Year 2)
  • UEME-AFM38 : MEng(Hons) Mechanical Engineering with Manufacturing and Management (Year 2)
  • UEME-AKM38 : MEng(Hons) Mechanical Engineering with Manufacturing and Management with Year long work placement (Year 2)
  • UEME-AFM47 : MEng(Hons) Mechanical with Automotive Engineering (Year 2)
  • UEME-AKM47 : MEng(Hons) Mechanical with Automotive Engineering with Year long work placement (Year 2)

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