Computational Engineering Sciences - ES 551 Course Calendar

Term:    Fall Text: Finite Elements Computational Engineering Sciences, A.J. Baker (2012)

Course No.: ES 551w Pre-req. see front page

Instructor:    Dr. A.J. Baker Time: Anytime! Online!

Class Date Topics Courseware
Text Chpt prob due lab due

1 AUG 20 Course content, requirements; website tour, Intro to Computational Engineering Sciences FE.1-10
Ch.1 L-1

2 25 Problem statements in engr. sciences, PDEs, BCs , physics closure PS.1-12
Ch.2

3 27 Solution processes, 1,2,3-D, analytical, approximation, finite differences IM.1-13
Ch.3 P-1,
P-2 L-1

4 SEP 1 WS tutorial: approximation, error, FE basis, element matrices, assembly, solution, accuracy, convergence IM.14-18
HC.1-12
Ch.3, 4 P-3

5 3 Steady heat transfer, convection BC, GWS^h completion for k=1, n=1 basis, example HT1.1-7
Ch.5 P-4 P-1,
P-2

6 8 Steady heat transfer, data handling, WS_e template, n=1, k=1,2,3 FE bases HT1.8-13
Ch.5 P-3 L-2

7 10 Steady heat transfer, error estimation, accuracy, convergence HT1.14-20
Ch.5 L-3

8 15 Non-smooth data, accuracy, error estimation, non-linear conduction, Newton iteration, summary HT1.21-24, 27-28
Ch.5 L-4 L-2

9 17 Euler-Bernoulli beam, cubic hermite FE, WS^h + BCs, WS_e template, accuracy, convergence CM1.1-8
Ch.6 P-5 L-5 L-3

10 22 E-B beam, derived variables, k=1, Timoshenko beam, WSs, under-integration, accuracy, convergence CM1.9-13
Ch.6 P-4 L-6

11 24 Mechanical vibrations, electromagnetic waves, normal modes, natural frequencies, {WS}_es CM1.14-18
Ch.6 L-4

12 29 Fluid mechanics, heat transfer, radiation, accuracy, convergence CM1.19-28
Ch.6

13 OCT 1 Steady heat transfer, n=2,3, GWS^N, GWS^h, WS_e, triangles, tetrahedra, quads, hexahedra, FE bases, nodes, DOF HTn. 1-9
Ch.7 P-6 P-5 L-5

14 6 Natural coordinate bases, coordinate transformations, [DIFF]_e, {b}_e, {N₁} matrix library, data, template, example HTn.9-17
Ch.7 L-7

15 8 Validation problem, tensor product bases, coordinate transformation, numerical quadrature, simiplifications HTn.18-25
Ch.7 L-8

16 13 {N₁⁺} matrix library, BCs, nuances, templates, L-shaped region, summary HTn.26-33
Ch.7 L-9

15 Fall Break - mid-term take-home exam Mid L-6

17 20 Finite-difference / -volume / -element theory comparisons FDE1-10
Ch.8 P-7 P-6 L-10 L-7

18 22 Convection/diffusion, n=1 GWS^N+TS, WS_e, unsteady/steady templates CD1.1-8
Ch.9 P-8 L-8

19 27 C/D, theoretical, acc/conv, verifications FD/FV/FE comparison basis CD1.9-15
Ch.9 L-11 Mid
20 29 C/D, TWS^N, phase accuracy, numerical diffusion, comparison basis cont'd CD1.16-21
Ch.9 P-7 L-9

21 NOV 3 Unsteady transport, n=2,3, GWS^N+TS, WS_e, Newton template, acc/conv CDn.1-7
Ch.10 P-9

22 5 Linear algebra, stationary iteration, tensor product factors, time splitting, templates CDn. 8-15
Ch.10 P-8 L-12 L-10

23 10 n-D benchmarks, stability, phase accuracy, numerical diffusion CDn.16-21
Ch.10

24 12 Elasticity, plane stress/strain, PDEs, matrix GWS^N, BCs CMn.1-9
Ch.11 P-10 P-9 L-11

25 17 Plane stress/strain, virtual work, FE form extremization, BCs, {WS}_e template, design optimization CMn.9-19
Ch.11

26 19 Fluid mechanics, INS, streamfunction - vorticity, GWS^N ==> GWS^h, {WS}_e, Newton template, step wall diffuser CMn.20-28
Ch.11 L-12

27 24 Mechanical vibrations, GWS^N normal mode ==> GWS^h, L-shaped plate CMn.29-31
Ch.11

26 No class - Thanksgiving Break

28 DEC 1 Summary, course assessments S.1-14 P-10

29 10 Final Exam - in class
covers entire semester

Term:	Fall	Text:	Finite Elements Computational Engineering Sciences, A.J. Baker (2012)
Course No.:	ES 551w	Pre-req.	see front page
Instructor:	Dr. A.J. Baker	Time:	Anytime! Online!

1	AUG 20	Course content, requirements; website tour, Intro to Computational Engineering Sciences	FE.1-10 Ch.1			L-1
2	25	Problem statements in engr. sciences, PDEs, BCs , physics closure	PS.1-12 Ch.2
3	27	Solution processes, 1,2,3-D, analytical, approximation, finite differences	IM.1-13 Ch.3	P-1, P-2			L-1
4	SEP 1	WS tutorial: approximation, error, FE basis, element matrices, assembly, solution, accuracy, convergence	IM.14-18 HC.1-12 Ch.3, 4	P-3
5	3	Steady heat transfer, convection BC, GWS^h completion for k=1, n=1 basis, example	HT1.1-7 Ch.5	P-4	P-1, P-2
6	8	Steady heat transfer, data handling, WS_e template, n=1, k=1,2,3 FE bases	HT1.8-13 Ch.5		P-3	L-2
7	10	Steady heat transfer, error estimation, accuracy, convergence	HT1.14-20 Ch.5			L-3
8	15	Non-smooth data, accuracy, error estimation, non-linear conduction, Newton iteration, summary	HT1.21-24, 27-28 Ch.5			L-4	L-2
9	17	Euler-Bernoulli beam, cubic hermite FE, WS^h + BCs, WS_e template, accuracy, convergence	CM1.1-8 Ch.6	P-5		L-5	L-3
10	22	E-B beam, derived variables, k=1, Timoshenko beam, WSs, under-integration, accuracy, convergence	CM1.9-13 Ch.6		P-4	L-6
11	24	Mechanical vibrations, electromagnetic waves, normal modes, natural frequencies, {WS}_es	CM1.14-18 Ch.6				L-4
12	29	Fluid mechanics, heat transfer, radiation, accuracy, convergence	CM1.19-28 Ch.6
13	OCT 1	Steady heat transfer, n=2,3, GWS^N, GWS^h, WS_e, triangles, tetrahedra, quads, hexahedra, FE bases, nodes, DOF	HTn. 1-9 Ch.7	P-6	P-5		L-5
14	6	Natural coordinate bases, coordinate transformations, [DIFF]_e, {b}_e, {N₁} matrix library, data, template, example	HTn.9-17 Ch.7			L-7
15	8	Validation problem, tensor product bases, coordinate transformation, numerical quadrature, simiplifications	HTn.18-25 Ch.7			L-8
16	13	{N₁⁺} matrix library, BCs, nuances, templates, L-shaped region, summary	HTn.26-33 Ch.7			L-9
	15	Fall Break - mid-term take-home exam				Mid	L-6
17	20	Finite-difference / -volume / -element theory comparisons	FDE1-10 Ch.8	P-7	P-6	L-10	L-7
18	22	Convection/diffusion, n=1 GWS^N+TS, WS_e, unsteady/steady templates	CD1.1-8 Ch.9	P-8			L-8
19	27	C/D, theoretical, acc/conv, verifications FD/FV/FE comparison basis	CD1.9-15 Ch.9			L-11	Mid
20	29	C/D, TWS^N, phase accuracy, numerical diffusion, comparison basis cont'd	CD1.16-21 Ch.9		P-7		L-9
21	NOV 3	Unsteady transport, n=2,3, GWS^N+TS, WS_e, Newton template, acc/conv	CDn.1-7 Ch.10	P-9
22	5	Linear algebra, stationary iteration, tensor product factors, time splitting, templates	CDn. 8-15 Ch.10		P-8	L-12	L-10
23	10	n-D benchmarks, stability, phase accuracy, numerical diffusion	CDn.16-21 Ch.10
24	12	Elasticity, plane stress/strain, PDEs, matrix GWS^N, BCs	CMn.1-9 Ch.11	P-10	P-9		L-11
25	17	Plane stress/strain, virtual work, FE form extremization, BCs, {WS}_e template, design optimization	CMn.9-19 Ch.11
26	19	Fluid mechanics, INS, streamfunction - vorticity, GWS^N ==> GWS^h, {WS}_e, Newton template, step wall diffuser	CMn.20-28 Ch.11				L-12
27	24	Mechanical vibrations, GWS^N normal mode ==> GWS^h, L-shaped plate	CMn.29-31 Ch.11
	26	No class - Thanksgiving Break
28	DEC 1	Summary, course assessments	S.1-14		P-10
29	10	Final Exam - in class covers entire semester