TítuloA massively parallel BEM numerical model for grounding analysis in layered soils

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"A massively parallel BEM numerical model for grounding analysis in layered soils"

I. Colominas, J. Gómez-Calviño, F. Navarrina, M. Casteleiro (2001)

En "II European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering" (en CD-ROM), Parte VIII:

"High-Performance Computing in Mechanics"(21 páginas). Z. Waszczyszyn, J. Pamin (Editors); Institute of Computer Methods in Civil Engineering, Cracow University of Technology, Cracovia, Polonia. (ISBN: 83-85688-68-4)

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(9)

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(11)

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(12)

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(13)

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(89,143)

X (m) Line y=0

0 0 20 40 60 80 100 120 140

20 40 60 80 100

Y (m)

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(14)

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(15)

-20.00 0.00 20.00 40.00 60.00 80.00 100.00 (m) -20.00

0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 (m)

-20.00 0.00 20.00 40.00 60.00 80.00 100.00 (m) -20.00

0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 (m)

-20.00 0.00 20.00 40.00 60.00 80.00 100.00 (m) -20.00

0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 (m)

-20.00 0.00 20.00 40.00 60.00 80.00 100.00 (m) -20.00

0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 (m)

Model A

Model D Model C

Model B

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(16)

60.00 65.00 70.00 75.00 80.00 85.00 90.00 95.00(m)100.00 -10.00

-5.00 0.00 5.00 10.00 15.00 20.00 (m)

60.00 65.00 70.00 75.00 80.00 85.00 90.00 95.00(m)100.00 -10.00

-5.00 0.00 5.00 10.00 15.00 20.00 (m)

Model B (detail) Model C (detail)

3$ E_Bt$sj j%jR Bt Y sY RZPs{ Is$j BP 7e {Bt BP Y BZtI$t $I PB Y RB$j 8BIjR stI ]

-10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00 100.00 X(m)

-10.00

0.00 Z(m)

-10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00 100.00 X(m)

-10.00

0.00 Z(m)

D

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V ) (D stI * wbB YB$9Btsj jskRD

3$Z M RYBbR }Bt$sj j%jR PB Y 8BIjR RZI$I sjBt bB I$&t j$tR BtB Y sY RZPs{U j$t ) E stI j$t V ) dn BIj * }Bt$sjR s {BtR$IsAjk jBb Yst Y BY BtR A{sZR Y $I $R 8AAAI $t s JZ$ 8B R$R$% RZPs{ RB$j yt Y B} }${Z b {st R Ys }Bt$sj j%jR V ] s JZ$ R$8$js Ps PB8 Y %${sj ABZtIsk AZ BtR I$&t PB8 Y BY BtR bYt Y }B$t $R ts Ys ABZtIsk wts }B$t V ) (D

VR -}{I Y RZjR BAs$tI {st RBtjk I}tI Bt Y RB$j 8BIj ZRI $t Y BZtI$t stsjkR$R qbBTjsk 8BIjR {st 8B s{{Zs RZjR Yst 8}jBk$t s Zt$PB8 RB$j 8BIj qYPB $ {BZjI A sI%$RsAj B ZR 8Zj$Tjsk RB$j PB8Zjs$BtR B stsjk9 BZtI$t RkR8R sR s tsj Zj $t R}$ BP Y $t{sR BP Y {B8}ZT

(17)

-10. 0. 10. 20. 30. 40. 50. 60. 70. 80. 90. 100. 110. 120. 130. 140.

y (x=6.0) (m)

7.0

7.5

8.0

8.5

9.0

9.5

10.0

10.5

Potential

(kV)

-10. 0. 10. 20. 30. 40. 50. 60. 70. 80. 90. 100.

x (y=13.0) (m)

7.0

7.5

8.0

8.5

9.0

9.5

10.0

10.5

Potential

(kV)

D

B A

C

D

B A

C

3$ M _Bt$sj j%jR wb$Y p_i)d(,zD sjBt RZPs{ j$t -)E stI RZPs{ j$t k)dn

(18)

s$Btsj &B yt Ps{ Y ZR BP Y$R ,$tI BP sI%st{I 8BIjR RYBZjI A 8stIsBk $t {sRR bY Y {BtIZ{$%$k BP Y RB$j {YstR 8s,Ijk b$Y I}Y 7B$j 8BIj * YsR RYBbt YBb s I$&t R$R$%$k $t s Y$t RZPs{ RB$j jsk {st s&{ {BtR$IsAjk B Y }Bt$sj I$R$AZ$Bt BAs$tI

W%YjRR sR b {st R $t Y ]_= $8 BP qsAj y bY$j R$tjTjsk 8BIjR wstI $t tsj RB$j 8BIjR b$Y $tsj ,tjR b$Y s ht$ tZ8A BP 8RD Zt $t sj $8 $t {Bt%t$Btsj {B8}ZR PB Y stsjkR$R BP 8I$Z8\A$ R$9 BZtI$t $IR 8Zj$}jTjsk 8BIjR tBtT%${sj ABZtIs$R wj$, 8BIj *D JZ$ $t tsj st BZ BP BI {B8}Z$t $8 wAsR${sjjk A{sZR $ $R t{RRsk B {B8}Z s Y$Y tZ8A BP 8R BP Y $tht$ R$R BP Y $tsj ,tjRD 3B Y$R sRBt b Ys% RZI$I Y }ssjjj$9s$Bt BP Y YB$9Btsj jsk 8BIj e tZ8${sj s}}Bs{Y RB Ys $ {BZjI A{B8 s sjT$8 IR$t BBj PB BZtI$t stsjkR$R

x _ssjjj$9s$Bt BP Y }B}BRI e PB8Zjs$Bt

xd !A`{$% sjB$Y8R B }ssjjj$9

qY {B8}Zs$Btsj {BR Ys Y }B}BRI PB8Zjs$Bt $8}j$R $R sR PBjjBbR PB R}T {$h{ I$R{$9s$Bt wE j8tR BP tBIR s{Y stI s Bsj tZ8A BP z IR BP PIB8D V j$ts RkR8 w1xD BP BI z 8ZR A tsI stI RBj%I

qY RkR8 8s$- ts$Bt }B{RR JZ$R 5wz11b1D B}s$BtR R$t{1 R$R BP {Bt$AZ$BtR BP k} w1ED Ys% B A {B8}ZI PB %k }s$ BP j8tR stI s}}B-$8sjk YsjP BP Y8 s I$R{sII A{sZR BP Rk88k yt Zt$PB8 RB$j 8BIjR YR R$R s PB8I Ak Btjk bB 8R stI $t %${sjjk jskI RB$j 8BIjR Yk b$jj A PB8I Ak PBZ 8R Z $t bB YB$9Btsj jskR 8BIjR Y R$R Ys% st $tht$ tZ8A BP Y8 Ys b$jj A tZ8${sjjk sIII Z} Zt$j s Bjst{ $R PZjhjjI B st Z}} j$8$ BP RZ88stIR $R s{Y$%I ]BtRJZtjk 8s$- ts$Bt b$jj A 8Z{Y 8B -}tR$% $t YB$9Btsj jsk 8BIjR wj$, RB$j 8BIj * $t Y }%$BZR R{$BtD

qY j$ts RkR8 RBj%$t }B{RR JZ$R 5wznbnD B}s$BtR wR$t{ Y 8s$- $R Rk88${ AZ tB R}sRD $P Y RBjZ$Bt $R {s$I BZ b$Y s I${ 8YBI qY$R bBZjI A Zts&BIsAj $t js }BAj8R RB Y R8$$s$% {Yt$JZ BP Y I$sBtsj }{BtI$$BtI {Bt`Zs sI$t sjB$Y8 b$Y sRR8Ajk BP Y jBAsj 8s$- YsR At $8}j8tI qY$R {Yt$JZ RZjR -8jk ^{$t PB RBj%$t js R{sj }BAj8R b$Y s %k jBb {B8}Zs$Btsj {BR $t {B8}s$RBt b$Y 8s$- ts$Bt 7B Y {BR BP Y RkR8 RBjZ$Bt RYBZjI t% }%s$j

!t Y BY YstI Bt{ Y js,s {Zt YsR At BAs$tI Y {BR BP {B8}Z$t Y JZ$%sjt R$Rst{ $R tj$$Aj qY sII$$Btsj {BR BP {B8}Z$t }Bt$sj s stk $%t }B$t wtB8sjjk s Y sY RZPs{D Ak 8stR BP Btjk JZ$R5wED B}s$BtR R$t{ R$R BP {Bt$AZ$BtR BP k} w1;D Ys% B A {B8}ZI PB %k j8t <Bb% $P $ $R t{RRsk B {B8}Z }Bt$sjR s s js tZ8A BP }B$tR w$ B Isb {BtBZRD {B8}Z$t $8 8sk A $8}Bst

(19)

7B Y 8BR {$${sj $8T{BtRZ8$t }B{RR BP Y$R tZ8${sj PB8Zjs$Bt AsRI Bt Y BZtIsk ej8t YBI $R 8s$- ts$Bt PBjjBbI Ak {B8}Zs$Bt BP }Bt$sj s s js tZ8A BP }B$tR Bt{ Y js,s {Zt ItR$k YsR At BAs$tI 7$t{ ABY }B{RRR s{{} 8sRR$% }ssjjj$9s$Bt {B8}Z$t $8 {BZjI A IZ{I ZtI s{{}sAj j%jR %t PB {sRR BP -8jk js 8BIjR $P Y tZ8A BP s%s$jsAj }B{RRBR $R Y$Y tBZY $t R}$ BP Y ^{$t{k jBRR IZ B Y Iss stRP B%YsI stI Y RkR8 sI8$t$Rs$Bt bB,jBsI

yt Y$R R{$Bt b b$jj I$R{ZRR Y }ssjjj$9s$Bt wYs $R Y I$R$AZ$Bt BP I$&T t sR,R BP Y }Bs8 s8Bt R%sj }B{RRBRD BP Y 8s$- ts$Bt }B{RR s}}jk$t $ B Y tZ8${sj {BI {BR}BtI$t B Y YB$9Btsj jsk 8BIj e tZ8${sj PB8Zjs$Bt>ddH

3B {Bth8$t Y {B8}Zs$Btsj {BR }I${$BtR 8sI sAB% Y {B8}Z$t $8R BP %k }s BP Y js,s {Zt ItR$k }B{RR wAPB {sj{Zjs$Bt BP }Bt$sjRD Ys% At 8sRZI IZ$t Y RJZt$sj {B8}Zs$Bt BP st YB$9Btsjjk jskI RB$j 8BIj qY RZj $R %k R$t$h{stU ;0 BP Y Bsj {B8}Z$t $8 wd1;1d R{BtIRD $R I%BI B 8s$- ts$Bt

x1 _ssjjj {B8}Z stI }ssjjj$9s$Bt 8BI

qY tZ8${sj s}}Bs{Y YsR At $8}j8tI Bt s ]V* RkR8 bY${Y YsR At {B8}$jI stI Zt BtB st !$$t 1((( 7$j${Bt ps}Y${R {B8}Z s Y eZB}st ]t PB _ssjjj$R8 BP s{jBts w]e_ VD qY {B8}$js$Bt }B{RR BP Y {BI YsR At 8sI $t RJZt$sj stI }ssjjj 8BIR stI Y -{Z$BtR Ys% At Zt PB Y Zt$PB8 stI Y bBTjsk 8BIjR qY ]_= $8 JZ$I PB s{Y RB$j 8BIj {sR {st A PBZtI $t qsAj y

qY !1((( ZRI $t BZ bB, $R s Y$YT}PB8st{ {B8}Z b$Y E; y_7 id(((( }B{RRBR s 1x( <9 y YsR s }s, }PB8st{ BP n1 p3jB}R yttsjjk Y !1((( $R Bst$RI $t {jZRR BP 1 }B{RRBR RYs$t s 8s$t 88Bk BP 1xE Ak es{Y }B{RRB YsR ; Ak BP {s{Y 88Bk qY {jZRR s {Btt{I Ak st Yk}{ZA tbB, es{Y }B{RRB {st s{{RR sjj Y I$R$AZI 8s$t 88Bk YBZY Y tT bB, qYt Y !1((( {st A }Bs88I sR st M pAk RYsI 88Bk 8s{Y$t qY $t}Z\BZ}Z I%${R Ys% s {s}sA$j$k BP d1 pAkR\R

qY }ssjjj$9s$Bt 8BI Rj{I PB Y$R }BAj8 YsR At Y ZR BP {B8}$j I${$%R PBjjBb$t Y }Rt !}t_ RstIsI qY$R Rj{$Bt $R `ZR$hI A{sZRU

sDs RYsI 88Bk {B8}Z $R s%s$jsAj PB Ztt$t Y }Bs8 wt{RRsk {BtI$$Bt PB ZR$t {B8}$j }ssjjj$9s$Bt I${$%RD AD Y ZR BP {B8}$j I${$%R stR {jstRR B s }ssjjj {BI Ys 8sk A YstIjI $t Y PZZ {D Y !}t_ Rkts-sRRZR Y }BsA$j$k BP Y }ssjjj {BI B stk RYsI 88Bk {B8}Z stIID sR b b$jj R AjBb Y jBB} B A Zt $t }ssjjj $R stRPB8sAj $tB st sIJZs PB8 RB Ys I${$%R s ^{$t

(20)

xn _ssjjj$9s$Bt BP Y {BI

eJZs$Bt w1xD RYBbR Ys Y 8s$- ts$Bt }B{RR $R }PB8I Ak 8stR BP s IBZAj jBB} Ys {BZ}jR %k j8t b$Y sjj Y BY BtR wEwEL dDb1 {k{jRD ytB s{Y {k{j Y j8tsj 8s$- {BR}BtI$t B s }s$ BP j8tR $R {sj{ZjsI stI $88I$sjk sRR8AjI $tB Y RkR8 8s$- yP b k B }ssjjj$9 Y$R IBZAj jBB} b htI Ys Y sRR8Ajk BP Y j8tsj 8s${R {sZRR s I}tIt{k Abt Y s{$BtR BP Y YsIR B }B{RRR qY$R IsbAs{, {st A s%B$II Ak s,$t Y sRR8Ajk }B{RR BZ BP Ys jBB} bY${Y $8}j$R hR Y {B8}Zs$Bt stI Y RBs BP sjj Y j8tsj 8s${R stI sP Y$R R} Y sRR8Ajk $t s RJZt$sj 8BI qY$R R{Y8 JZ$R s}}B-$8sjk b${ 88Bk R}s{ Yst Y B$$tsj Bt AZ $t stk {sR Y$R 88Bk R}s{ $R tB %k js

0. 10. 20. 30. 40. 50. 60. 70. Number of Processors

0.0

10.0

20.0

30.0

40.0

50.0

60.0

70.0

Speed-up

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(21)

{BZ}j$t BP %k j8t BP Y $I b$Y s{Y Bt BP Y BYR {st A }RtI Ak s $stj BP E{BjZ8tR BP bY${Y Y hR Bt YsR E BbR stI Y jsR Bt YsR d Bb <t{ $P Y BZ jBB} $R }ssjjj$9I Y {BjZ8tR BP Y $stj Ys $R Y {k{jR BP Y BZ jBB} s I$R$AZI s8Bt Y }B{RRBR GYsR $P Y $tt jBB} $R }ssjjj$9I Y BbR BP Bt {BjZ8t s I$R$AZI s8Bt Y }B{RRBR yt Y$R {sR bYt {B8}Zs$BtR Bt Ys {BjZ8t s ht$RYI Y }Bs8 8B%R RJZt$sjjk B Y t- Bt bY stBY I$R$AZ$Bt BP $R BbR s8Bt Y }B{RRBR $R }PB8I qY$R &{ BP stZjs$k $R BP {BZR 8B RtR$Aj bYt Y tZ8A BP }B{RRBR BbR sR $ {st A Rt $t hZ

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(22)

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TítuloA massively parallel BEM numerical model for grounding analysis in layered soils

V V77yzeNO _ViVNNeN e W=eiy]VN !*eN

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g

g

g

g

-10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00 100.00 X(m)

-10.00

0.00

Z(m)

-10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00 100.00 X(m)

-10.00

0.00

Z(m)

D

C

y (x=6.0) (m)

Potential

(kV)

x (y=13.0) (m)

Potential

(kV)

D

B A

C

D

B A

C

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