CFD Part 1

Vector Calculus, Finite volume method


Part 1 in the course F6L5008 CFD in Design and Development (CFD i design och utveckling )
Coordinator: Docent Sture Holmberg
Period: 3,4 2005/06

Syllabus
1) Functions of several variables. Partial derivatives. The chain rule. Taylorís formula for functions of several variables.
2) Vector and scalar fields. The dot product, the cross product and the tensor product. Gradient, differential operator nabla , divergence and curl.
3) Classification of PDE: hyperbolic, parabolic and elliptic PDE. (Section 2.7, 2.8, 2.9; Computational fluid Dynamics, H K Versteeg, W Malalasekera)
4) Properties of the double, triple and flux integrals. 5-6 Maple exercises.
TEST 1
7) Finite volume method for one dimensional steady state diffusion (Section 4.1-4.3,
8) Maple exercises. Numerical methods. Finite volume method for one dimensional steady state diffusion
9) Finite volume method for two dimensional diffusion problems. (Section 4.4)
10) Maple exercises. Finite volume method for two dimensional diffusion problems.
11) Finite volume method for convection-diffusion problems. (Chapter 5)
12) Maple exercises. Finite volume method for convection-diffusion problems.
13) TDMA (Chapter 7)
TEST 2
14) Maple exercises.

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MAPLE EXAMPLES
Example 1 HTML
Example 2 HTML
Example 3 HTML
Example 4 HTML

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TESTS 1,2 (Kontrollskrivningar 1, 2)
TEST 1, PDF
TEST 2, PDF

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Assignments (Inlämningsuppgifter):
Lab 1a MS Word
Lab 1b MS Word
Lab 2a ,MS Excel
Lab 2b ,MS Excel

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EXAMS (TENTAMINA):
EXAM (Tentamen),24 may 2006 , PDF

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