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Tabela E.4: Comparação do erro da variável de interesse ( E
m
) entre as integrações analítica e
pela regra do retângulo com volume fictício
∆ x
E
m
E
m
Fonte numérico
Fonte analítico
0,5 0,27428 0,13698
0,25 0,07601 0,0514
0,125 0,01956 0,01425
0,0625 0,00493 0,00366
0,03125 0,00123 9,20419E-4
0,01563 3,08578E-4 2,30481E-4
0,00781 7,71535E-5 5,76439E-5
0,00391 1,92889E-5 1,44124E-5
0,00195 4,82227E-6 3,6032E-6
9,76563E-4 1,20557E-6 9,00807E-7
4,88281E-4 3,01393E-7 2,25202E-7
2,44141E-4 7,53482E-8 5,63005E-8
1,2207E-4 1,8837E-8 1,40751E-8
6,10352E-5 4,70926E-9 3,51878E-9
3,05176E-5 1,17732E-9 8,79696E-10
1,52588E-5 2,94329E-10 2,19924E-10
7,62939E-6 7,35822E-11 5,4981E-11
3,8147E-6 1,83956E-11 1,37452E-11
1,90735E-6 4,59889E-12 3,43631E-12
9,53674E-7 1,14972E-12 8,59078E-13
4,76837E-7 2,8743E-13 2,1477E-13
2,38419E-7 7,18576E-14 5,36924E-14
1,19209E-7 1,79644E-14 1,34231E-14
5,96046E-8 4,4911E-15 3,35577E-15
2,98023E-8 1,12278E-15 8,38943E-16
1,49012E-8 2,80694E-16 2,09736E-16
Tabela E.5: Comparação do erro da variável de interesse ( T
nod
) entre as quatro formas de
aplicar as condições de contorno
∆ x
T
nod
T
nod
∆ x
T
nod
∆ x
T
nod
Com esp zero
Sem vol fict Com vol fict
Com meio vol
1 0,09237 0,5 0,16589 0,33333 0,06272
0,33333 0,06272 0,06272 0,25 0,05117 0,11111 0,00844
0,11111 0,00844 0,00844 0,125 0,01354 0,03704 9,57742E-4
0,03704 9,57742E-4 9,57742E-4 0,0625 0,00343 0,01235 1,0667E-4
0,01235 1,0667E-4 1,0667E-4 0,03125 8,61866E-4 0,00412 1,18554E-5
0,00412 1,18554E-5 1,18554E-5 0,01563 2,15664E-4 0,00137 1,3173E-6
0,00137 1,3173E-6 1,3173E-6 0,00781 5,39283E-5 4,57247E-4 1,46367E-7
4,57247E-4 1,46367E-7 1,46367E-7 0,00391 1,34828E-5 1,52416E-4 1,6263E-8
1,52416E-4 1,6263E-8 1,6263E-8 0,00195 3,37076E-6 5,08053E-5 1,807E-9
5,08053E-5 1,807E-9 1,807E-9 9,76563E-4 8,42693E-7 1,69351E-5 2,00778E-10
1,69351E-5 2,00778E-10 2,00778E-10 4,88281E-4 2,10673E-7 5,64503E-6 2,23087E-11
5,64503E-6 2,23087E-11 2,23087E-11 2,44141E-4 5,26684E-8 1,88168E-6 2,47874E-12
1,88168E-6 2,47874E-12 2,47874E-12 1,2207E-4 1,31671E-8 6,27225E-7 2,75416E-13
6,27225E-7 2,75416E-13 2,75416E-13 6,10352E-5 3,29177E-9 2,09075E-7 3,06018E-14
2,09075E-7 3,06018E-14 3,06018E-14 3,05176E-5 8,22943E-10 6,96917E-8 3,4002E-15
6,96917E-8 3,4002E-15 3,4002E-15 1,52588E-5 2,05736E-10 2,32306E-8 3,778E-16
2,32306E-8 3,778E-16 3,778E-16 7,62939E-6 5,1434E-11
3,8147E-6
1,90735E-6
9,53674E-7
4,76837E-7
2,38419E-7
1,19209E-7
5,96046E-8
2,98023E-8
1,49012E-8
1,28585E-11
3,21462E-12
8,03656E-13
2,00914E-13
5,02285E-14
1,25571E-14
3,13928E-15
7,8482E-16
1,96205E-16