fabiana de fátima giacomini - PG-Mec Programa de Pós-Graduação ...

167
Tabela G.8: Ordens assintótica, efetiva e aparente do erro de discretização para a variável de
u ,
com a forma com meio-volume
∆ x
interesse ( )
m ret
pE
pL ret
ret
pU
ret
Fonte numérico
Fonte numérico
0,500000000000000 2,00000000000000
0,250000000000000 2,00000000000000
0,125000000000000 2,00000000000000 0,890910571885296
0,0625000000000000 2,00000000000000 1,82331966929520 0,251982679378118
0,0312500000000000 2,00000000000000 1,96000198284012 1,77285005516429
0,0156250000000000 2,00000000000000 1,99022522297679 1,94969205999353
0,00781250000000000 2,00000000000000 1,99756972167288 1,98776319449882
0,00390625000000000 2,00000000000000 1,99939325890031 1,99696102204017
0,00195312500000000 2,00000000000000 1,99984836634824 1,99924150324147
9,765625E-4 2,00000000000000 1,99996209481105 1,99981045354011
4,8828125E-4 2,00000000000000 1,99999052390422 1,99995261823918
2,44140625E-4 2,00000000000000 1,99999763098865 1,99998815486312
1,220703125E-4 2,00000000000000 1,99999940774795 1,99999703873474
6,103515625E-5 2,00000000000000 1,99999985193704 1,99999925968487
3,0517578125E-5 2,00000000000000 1,99999996298426 1,99999981492129
1,52587890625E-5 2,00000000000000 1,99999999074607 1,99999995373033
7,62939453125E-6 2,00000000000000 1,99999999768652 1,99999998843258
3,814697265625E-6 2,00000000000000 1,99999999942163 1,99999999710815
1,9073486328125E-6 2,00000000000000 1,99999999985541 1,99999999927704
9,5367431640625E-7 2,00000000000000 1,99999999996386 1,99999999981926
4,76837158203125E-7 2,00000000000000 1,99999999999097 1,99999999995482
2,38418579101563E-7 2,00000000000000 1,99999999999647 1,99999999998913
1,19209289550781E-7 2,00000000000000 2,00000000000176 1,99999999999471
5,96046447753906E-8 2,00000000000000 2,00000000013057 1,99999999995882
2,98023223876953E-8 2,00000000000000 2,00000000012462 2,00000000013255
1,49011611938477E-8 2,00000000000000 1,99999996906398 2,00000001047816
A Tab. G.9 mostra as ordens obtidas com a forma de aplicar as condições de contorno
com volume fictício, mas o mesmo resultado é verificado com as formas sem volume fictício
e com volume de espessura zero e a Tab. G.10 mostra os resultados das ordens obtidas com a
forma de aplicar as condições de contorno com meio-volume.
Tabela G.9: Ordens assintótica, efetiva e aparente do erro de discretização para a variável de
E com a forma com volume fictício
∆ x
interesse ( )
m
pE
pL Em
Em
pU
Em
Fonte numérico
Fonte numérico
0,333333333333333 2,00000000000000
0,111111111111111 2,00000000000000 2,33952721409957
0,0370370370370370 2,00000000000000 2,06458809610153 2,36651904972148
0,0123456790123457 2,00000000000000 2,00753746221281 2,07141084123787
0,00411522633744856 2,00000000000000 2,00084220407248 2,00837005073350
0,00137174211248285 2,00000000000000 2,00009363683761 2,00093572088390
4,57247370827618E-4 2,00000000000000 2,00001040481730 2,00010404017126
1,52415790275873E-4 2,00000000000000 2,00000115609975 2,00001156089873
5,08052634252909E-5 2,00000000000000 2,00000012845564 2,00000128455517
1,69350878084303E-5 2,00000000000000 2,00000001427285 2,00000014272849
5,64502926947676E-6 2,00000000000000 2,00000000158587 2,00000001585872
1,88167642315892E-6 2,00000000000000 2,00000000017621 2,00000000176208
6,27225474386307E-7 2,00000000000000 2,00000000001956 2,00000000019579
2,09075158128769E-7 2,00000000000000 2,00000000000206 2,00000000002175
6,96917193762563E-8 2,00000000000000 1,99999999998526 2,00000000000416
2,32305731254188E-8 2,00000000000000 2,00000000066857 1,99999999989985