fabiana de fÃ¡tima giacomini - PG-Mec Programa de PÃ³s-GraduaÃ§Ã£o ...

More documents

Recommendations

Info

159 Tabela F.6: Ordens assintótica, efetiva e aparente do erro de discretização para a variável de T com a forma com meio-volume interesse ( ) nod ∆ x pL nod pE nod pU nod 0,500000000000000 2,00000000000000 0,250000000000000 2,00000000000000 2,98917423735627 0,125000000000000 2,00000000000000 2,11330654546649 3,17413943130562 0,0625000000000000 2,00000000000000 2,02659236765773 2,14042428059548 0,0312500000000000 2,00000000000000 2,00654624988859 2,03317317051866 0,0156250000000000 2,00000000000000 2,00163031229070 2,00817872067894 0,00781250000000000 2,00000000000000 2,00040718924219 2,00203763635917 0,00390625000000000 2,00000000000000 2,00010177303687 2,00050897070423 0,00195312500000000 2,00000000000000 2,00002544174255 2,00012721530598 9,765625E-4 2,00000000000000 2,00000636034085 2,00003180211632 4,8828125E-4 2,00000000000000 2,00000159007929 2,00000795042220 2,44140625E-4 2,00000000000000 2,00000039751945 2,00000198759887 1,220703125E-4 2,00000000000000 2,00000009937984 2,00000049689930 6,103515625E-5 2,00000000000000 2,00000002484496 2,00000012422480 3,0517578125E-5 2,00000000000000 2,00000000621124 2,00000003105620 1,52587890625E-5 2,00000000000000 2,00000000155281 2,00000000776405 7,62939453125E-6 2,00000000000000 2,00000000038820 2,00000000194101 3,814697265625E-6 2,00000000000000 2,00000000009705 2,00000000048525 1,9073486328125E-6 2,00000000000000 2,00000000002426 2,00000000012131 9,5367431640625E-7 2,00000000000000 2,00000000000607 2,00000000003033 4,76837158203125E-7 2,00000000000000 2,00000000000144 2,00000000000761 2,38418579101563E-7 2,00000000000000 2,00000000000040 2,00000000000179 1,19209289550781E-7 2,00000000000000 2,00000000000060 2,00000000000033 5,96046447753906E-8 2,00000000000000 1,99999999999689 2,00000000000183 2,98023223876953E-8 2,00000000000000 2,00000000080822 1,99999999972645 1,49011611938477E-8 2,00000000000000 1,99999999778273 2,00000000181671 Tabela F.7: Ordens assintótica, efetiva e aparente do erro de discretização para a variável de T , com a forma com volume fictício interesse ( ) m ret ∆ x pL ret pE ret pU ret 0,333333333333333 2,00000000000000 0,111111111111111 2,00000000000000 2,01185230577213 0,0370370370370370 2,00000000000000 2,00095537796049 2,01320369949310 0,0123456790123457 2,00000000000000 2,00010281671284 2,00106187845760 0,00411522633744856 2,00000000000000 2,00001138405716 2,00011424498826 0,00137174211248285 2,00000000000000 2,00000126440270 2,00001264900409 4,57247370827618E-4 2,00000000000000 2,00000014048311 2,00000140489252 1,52415790275873E-4 2,00000000000000 2,00000001560916 2,00000015609235 5,08052634252909E-5 2,00000000000000 2,00000000173435 2,00000001734351 1,69350878084303E-5 2,00000000000000 2,00000000019271 2,00000000192706 5,64502926947676E-6 2,00000000000000 2,00000000002141 2,00000000021412 1,88167642315892E-6 2,00000000000000 2,00000000000238 2,00000000002379 6,27225474386307E-7 2,00000000000000 2,00000000000026 2,00000000000264 2,09075158128769E-7 2,00000000000000 2,00000000000008 2,00000000000029 6,96917193762563E-8 2,00000000000000 2,00000000000058 2,00000000000001 2,32305731254188E-8 2,00000000000000 2,00000000000574 1,99999999999993
160 Tabela F.8: Ordens assintótica, efetiva e aparente do erro de discretização para a variável de T , com a forma com meio-volume interesse ( ) m ret ∆ x pL ret pE ret pU ret 0,500000000000000 2,00000000000000 0,250000000000000 2,00000000000000 0,125000000000000 2,00000000000000 1,86178803697671 0,0625000000000000 2,00000000000000 1,97233845242842 1,82194927165643 0,0312500000000000 2,00000000000000 1,99342882299910 1,96519586828831 0,0156250000000000 2,00000000000000 1,99837764563373 1,99177295306539 0,00781250000000000 2,00000000000000 1,99959567299387 1,99797125602621 0,00390625000000000 2,00000000000000 1,99989899685220 1,99949454142731 0,00195312500000000 2,00000000000000 1,99997475412196 1,99987374295567 9,765625E-4 2,00000000000000 1,99999368883724 1,99996844245816 4,8828125E-4 2,00000000000000 1,99999842222848 1,99999211103441 2,44140625E-4 2,00000000000000 1,99999960555832 1,99999802778484 1,220703125E-4 2,00000000000000 1,99999990138965 1,99999950694785 6,103515625E-5 2,00000000000000 1,99999997534742 1,99999987673707 3,0517578125E-5 2,00000000000000 1,99999999383685 1,99999996918427 1,52587890625E-5 2,00000000000000 1,99999999845921 1,99999999229607 7,62939453125E-6 2,00000000000000 1,99999999961480 1,99999999807402 3,814697265625E-6 2,00000000000000 1,99999999990370 1,99999999951850 1,9073486328125E-6 2,00000000000000 1,99999999997593 1,99999999987963 9,5367431640625E-7 2,00000000000000 1,99999999999396 1,99999999996991 4,76837158203125E-7 2,00000000000000 1,99999999999885 1,99999999999233 2,38418579101563E-7 2,00000000000000 2,00000000000073 1,99999999999823 1,19209289550781E-7 2,00000000000000 2,00000000000706 1,99999999999862 5,96046447753906E-8 2,00000000000000 2,00000000005377 1,99999999999149 2,98023223876953E-8 2,00000000000000 1,99999999653807 2,00000000122567 1,49011611938477E-8 2,00000000000000 2,00000002005183 1,99999998870015 Tabela F.9: Ordens assintótica, efetiva e aparente do erro de discretização para a variável de E com a forma com volume fictício interesse ( ) m ∆ x pL Em pE Em pU Em 0,333333333333333 2,00000000000000 0,111111111111111 2,00000000000000 2,02701460950712 0,0370370370370370 2,00000000000000 2,00270566763579 2,02999810818328 0,0123456790123457 2,00000000000000 2,00029838269729 2,00300602033793 0,00411522633744856 2,00000000000000 2,00003312740459 2,00033153281719 0,00137174211248285 2,00000000000000 2,00000368050095 2,00003680818382 4,57247370827618E-4 2,00000000000000 2,00000040894058 2,00000408944496 1,52415790275873E-4 2,00000000000000 2,00000004543779 2,00000045437842 5,08052634252909E-5 2,00000000000000 2,00000000504864 2,00000005048644 1,69350878084303E-5 2,00000000000000 2,00000000056096 2,00000000560960 5,64502926947676E-6 2,00000000000000 2,00000000006233 2,00000000062329 1,88167642315892E-6 2,00000000000000 2,00000000000693 2,00000000006925 6,27225474386307E-7 2,00000000000000 2,00000000000077 2,00000000000770 2,09075158128769E-7 2,00000000000000 2,00000000000014 2,00000000000085 6,96917193762563E-8 2,00000000000000 2,00000000000071 2,00000000000007 2,32305731254188E-8 2,00000000000000 2,00000000000697 1,99999999999993
Page 1:
FABIANA DE FÁTIMA GIACOMINI VERIFI
Page 5 and 6:
AGRADECIMENTOS Agradeço ao Prof. C
Page 7 and 8:
ABSTRACT The focus of this work is
Page 9 and 10:
Figura 4.10: Comparação do erro d
Page 11 and 12:
Figura 6.3: Comparação do erro da
Page 13 and 14:
Tabela C.5: Identificação das sim
Page 15 and 16:
Tabela E.18: Ordens assintótica, e
Page 17 and 18:
LISTA DE ABREVIATURAS E SIGLAS ADI
Page 19 and 20:
N f N g P Pe pE pL pV pU q Re S S
Page 21 and 22:
φ w φ W φ ∞ φ f φ g soluçã
Page 23 and 24:
3.1.2 Equação de Advecção-Difus
Page 25 and 26:
24 1 INTRODUÇÃO Este capítulo co
Page 27 and 28:
26 (TANNEHILL et al., 1997), volume
Page 29 and 30:
28 1.3 OBJETIVOS DO TRABALHO O obje
Page 31 and 32:
30 2 FUNDAMENTAÇÃO TEÓRICA Este
Page 33 and 34:
32 volumes uniformes, onde o compri
Page 35 and 36:
34 prática, a situação descrita
Page 37 and 38:
36 A Fig. 2.3 mostra o volume de co
Page 39 and 40:
38 A Fig. 2.5 ilustra geometricamen
Page 41 and 42:
40 Existem várias funções de int
Page 43 and 44:
42 onde a variável de interesse (
Page 45 and 46:
44 2.6.2 Integração pela Regra do
Page 47 and 48:
46 O erro numérico, decorrente da
Page 49 and 50:
48 primeiro termo domina o valor to
Page 51 and 52:
50 2.8.2 Estimativas de Erros a Pri
Page 53 and 54:
52 Ordem Efetiva A ordem efetiva (
Page 55 and 56:
54 Escrevendo a Eq. (2.43) para tr
Page 57 and 58:
56 3 PROCEDIMENTOS ANALÍTICOS E NU
Page 59 and 60:
58 de moléculas de duas ou mais su
Page 61 and 62:
60 3.1.3 Equação de Burgers O mod
Page 63 and 64:
62 Os resultados obtidos analiticam
Page 65 and 66:
64 As expressões que representam o
Page 67 and 68:
66 fornece um número de volumes pa
Page 69 and 70:
68 A disposição da malha para as
Page 71 and 72:
70 ( φ ) N 1 ⎧ ⎡ P−1 + φP
Page 73 and 74:
72 3.3.5 Análise a Priori da Ordem
Page 75 and 76:
74 I principal ( ) Para encontrar a
Page 77 and 78:
76 No cálculo do tempo computacion
Page 79 and 80:
78 tamanhos dos volumes de controle
Page 81 and 82:
80 Tabela 4.3: Malha, tamanho e nú
Page 83 and 84:
82 0,1 0,1 1E-3 1E-3 Módulo do Err
Page 85 and 86:
84 Tabela 4.4: Classificação das
Page 87 and 88:
86 2,5 Ordens Assintótica, Efetiva
Page 89 and 90:
88 Tabela 4.5: Resultados obtidos a
Page 91 and 92:
90 sofreu influência da forma de a
Page 93 and 94:
92 5 RESULTADOS SOBRE A EQUAÇÃO D
Page 95 and 96:
94 Tabela 5.3: Malha, tamanho e nú
Page 97 and 98:
96 Com relação aos resultados apr
Page 99 and 100:
98 Ordens Assintótica, Efetiva e A
Page 101 and 102:
100 A tendência do erro não corre
Page 103 and 104:
102 0,1 0,1 1E-3 1E-3 Módulo do Er
Page 105 and 106:
104 2,5 2,5 Ordens Assintótica, Ef
Page 107 and 108:
106 e condições de contorno empre
Page 109 and 110: 108 espessura zero. Porém aplicand
Page 111 and 112: 110 REFERÊNCIAS AIAA. Guide for th
Page 113 and 114: 112 PATANKAR, S. V. Numerical Heat
Page 115 and 116: 114 onde E i e i−1 E são os erro
Page 117 and 118: 116 A média da norma ( l 1 ) é ca
Page 119 and 120: 118 APÊNDICE B. Coeficientes e ter
Page 121 and 122: 120 Condições de Contorno Aplicad
Page 123 and 124: 122 b p = φ (B.33) b Condições d
Page 125 and 126: 124 • para o volume de controle P
Page 127 and 128: 126 EQUAÇÃO DE BURGERS A equaçã
Page 129 and 130: 128 • para os volumes de controle
Page 131 and 132: 130 Tabela C.2: Identificação das
Page 133 and 134: 132 volumes ímpares e pares, respe
Page 135 and 136: 134 Tabela C.9: Identificação das
Page 137 and 138: 136 Tabela C.13: Identificação da
Page 139 and 140: 138 Tabela C.16: Identificação da
Page 141 and 142: 140 APÊNDICE D. Análise dos coefi
Page 143 and 144: 142 e ainda, substituindo φ = 1 na
Page 145 and 146: 144 APÊNDICE E. Tabelas do capítu
Page 147 and 148: 146 Tabela E.4: Comparação do err
Page 149 and 150: 148 Tabela E.8: Comparação do err
Page 151 and 152: 150 As Tabs. E.12 a E.18 mostram os
Page 153 and 154: 152 Tabela E.16: Ordens assintótic
Page 155 and 156: 154 Tabela E.20: Ordens assintótic
Page 157 and 158: 156 APÊNDICE F. Tabelas do capítu
Page 159: 158 Tabela F.4: Comparação do err
Page 163 and 164: 162 Tabela F.12: Ordens assintótic
Page 165 and 166: 164 Tabela G.2: Comparação do err
Page 167 and 168: 166 Tabela G.6: Ordens assintótica
Page 169 and 170: 168 Tabela G.10: Ordens assintótic
show all

fabiana de fÃ¡tima giacomini - PG-Mec Programa de PÃ³s-GraduaÃ§Ã£o ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?