=================================================== ===== QUASI STEADY WAVE PROPARGATION ANALYSIS ===== =========== BY BOUNDARY ELEMENT METHOD ============ ============== USING LINEAR ELEMENT =============== == ALONG WITH STRAIGHT FORMATION OF [A]{X}={RHS} == =================================================== OMEGA = 6.28318500000000 ==== ELEMENT INFORMATION ==== ELEMENT # NODE(1) NODE(2) B.C. B-V(1)REAL B-V(1)IMAG B-V(2)REAL B-V(2)IMAG ----------------------------------------------------------------------------------------------- 1 1 2 NUEMANN 0.5466485E-06 -6.252930 -0.3772281 -6.241541 2 2 3 NUEMANN -0.3627315 -6.001682 -1.424193 -5.841527 3 3 4 NUEMANN -1.312543 -5.383583 -2.798688 -4.782580 4 4 5 NUEMANN -2.453070 -4.191966 -3.864656 -2.941865 5 5 6 NUEMANN -3.171642 -2.414327 -3.925423 -0.6923443 6 6 7 NUEMANN -2.916851 -0.5144579 -2.762973 1.067083 7 7 8 NUEMANN -1.701432 0.6571073 -1.049183 1.491937 8 8 9 NUEMANN -0.3542650 0.5037645 0.8457184E-07 0.6158590 9 9 10 NUEMANN -0.8457211E-07 -0.6158609 -0.3542663 -0.5037659 10 10 11 NUEMANN -1.049182 -1.491935 -1.701430 -0.6571063 11 11 12 NUEMANN -2.762975 -1.067083 -2.916852 0.5144600 12 12 13 NUEMANN -3.925423 0.6923467 -3.171642 2.414327 13 13 14 NUEMANN -3.864656 2.941865 -2.453069 4.191967 14 14 15 NUEMANN -2.798687 4.782581 -1.312542 5.383583 15 15 16 NUEMANN -1.424191 5.841528 -0.3627301 6.001682 16 16 17 NUEMANN -0.3772267 6.241541 0.5466485E-06 6.252930 17 17 18 NUEMANN 0.5466485E-06 6.252930 -0.3772281 6.241541 18 18 19 NUEMANN -0.3627314 6.001681 -1.424192 5.841527 19 19 20 NUEMANN -1.312543 5.383582 -2.798688 4.782580 20 20 21 NUEMANN -2.453070 4.191966 -3.864657 2.941863 21 21 22 NUEMANN -3.171642 2.414324 -3.925422 0.6923416 22 22 23 NUEMANN -2.916851 0.5144562 -2.762972 -1.067086 23 23 24 NUEMANN -1.701428 -0.6571079 -1.049182 -1.491934 24 24 25 NUEMANN -0.3542661 -0.5037656 0.2307206E-07 -0.6158606 25 25 26 NUEMANN -0.2307206E-07 0.6158606 -0.3542662 0.5037655 26 26 27 NUEMANN -1.049184 1.491936 -1.701432 0.6571063 27 27 28 NUEMANN -2.762975 1.067083 -2.916852 -0.5144604 28 28 29 NUEMANN -3.925424 -0.6923473 -3.171641 -2.414330 29 29 30 NUEMANN -3.864654 -2.941868 -2.453070 -4.191966 30 30 31 NUEMANN -2.798688 -4.782580 -1.312542 -5.383582 31 31 32 NUEMANN -1.424191 -5.841528 -0.3627301 -6.001682 32 32 1 NUEMANN -0.3772267 -6.241541 0.5466485E-06 -6.252930 == TOPOGRAPHY FUNCTION(PHAI) AT NODAL POINT== NODAL # X-COORDINATE Y-COORDINATE PHAI-REAL PHAI-IMAG FREE TERM ----------------------------------------------------------------------------------- 1 0.5000000 0.0000000E+00 1.510294 -0.3533691 0.5312500 2 0.4903926 -0.9754516E-01 1.339029 -0.4021841 0.5312500 3 0.4619398 -0.1913417 0.8883052 -0.4984371 0.5312500 4 0.4157348 -0.2777851 0.3285663 -0.5310508 0.5312500 5 0.3535534 -0.3535534 -0.1218270 -0.4208092 0.5312500 6 0.2777851 -0.4157348 -0.2930623 -0.1997231 0.5312501 7 0.1913417 -0.4619398 -0.1609131 -0.6765707E-02 0.5312499 8 0.9754512E-01 -0.4903927 0.1255138 0.1385072E-01 0.5312500 9 -0.2185569E-07 -0.5000000 0.3319976 -0.1655254 0.5312500 10 -0.9754516E-01 -0.4903926 0.2951245 -0.4270711 0.5312500 11 -0.1913418 -0.4619398 0.2115189E-01 -0.6016645 0.5312500 12 -0.2777852 -0.4157348 -0.3499967 -0.5937484 0.5312500 13 -0.3535534 -0.3535534 -0.6647400 -0.4262195 0.5312500 14 -0.4157348 -0.2777851 -0.8479476 -0.1917146 0.5312500 15 -0.4619398 -0.1913416 -0.9127521 0.1992662E-01 0.5312500 16 -0.4903927 -0.9754515E-01 -0.9161099 0.1577602 0.5312500 17 -0.5000000 0.4371139E-07 -0.9105055 0.2045960 0.5312500 18 -0.4903926 0.9754524E-01 -0.9161100 0.1577600 0.5312500 19 -0.4619398 0.1913417 -0.9127521 0.1992643E-01 0.5312500 20 -0.4157348 0.2777852 -0.8479475 -0.1917149 0.5312500 21 -0.3535533 0.3535534 -0.6647397 -0.4262198 0.5312500 22 -0.2777850 0.4157349 -0.3499959 -0.5937487 0.5312500 23 -0.1913416 0.4619398 0.2115257E-01 -0.6016643 0.5312500 24 -0.9754519E-01 0.4903926 0.2951245 -0.4270711 0.5312499 25 0.5962440E-08 0.5000000 0.3319975 -0.1655252 0.5312500 26 0.9754521E-01 0.4903926 0.1255135 0.1385083E-01 0.5312500 27 0.1913418 0.4619397 -0.1609133 -0.6765806E-02 0.5312500 28 0.2777852 0.4157347 -0.2930624 -0.1997234 0.5312500 29 0.3535535 0.3535533 -0.1218265 -0.4208095 0.5312499 30 0.4157348 0.2777852 0.3285662 -0.5310507 0.5312500 31 0.4619398 0.1913417 0.8883054 -0.4984369 0.5312500 32 0.4903927 0.9754512E-01 1.339029 -0.4021839 0.5312500 == ELEMENT INFORMATION AND SOLUTION OF HEAT FLUX == ELEMENT # FLUX(1)-REAL FLUX(1)-IMAG FLUX(2)-REAL HLUX(2)-IMAG --------------------------------------------------------------------------- 1 0.5466485E-06 -6.252930 -0.3772281 -6.241541 2 -0.3627315 -6.001682 -1.424193 -5.841527 3 -1.312543 -5.383583 -2.798688 -4.782580 4 -2.453070 -4.191966 -3.864656 -2.941865 5 -3.171642 -2.414327 -3.925423 -0.6923443 6 -2.916851 -0.5144579 -2.762973 1.067083 7 -1.701432 0.6571073 -1.049183 1.491937 8 -0.3542650 0.5037645 0.8457184E-07 0.6158590 9 -0.8457211E-07 -0.6158609 -0.3542663 -0.5037659 10 -1.049182 -1.491935 -1.701430 -0.6571063 11 -2.762975 -1.067083 -2.916852 0.5144600 12 -3.925423 0.6923467 -3.171642 2.414327 13 -3.864656 2.941865 -2.453069 4.191967 14 -2.798687 4.782581 -1.312542 5.383583 15 -1.424191 5.841528 -0.3627301 6.001682 16 -0.3772267 6.241541 0.5466485E-06 6.252930 17 0.5466485E-06 6.252930 -0.3772281 6.241541 18 -0.3627314 6.001681 -1.424192 5.841527 19 -1.312543 5.383582 -2.798688 4.782580 20 -2.453070 4.191966 -3.864657 2.941863 21 -3.171642 2.414324 -3.925422 0.6923416 22 -2.916851 0.5144562 -2.762972 -1.067086 23 -1.701428 -0.6571079 -1.049182 -1.491934 24 -0.3542661 -0.5037656 0.2307206E-07 -0.6158606 25 -0.2307206E-07 0.6158606 -0.3542662 0.5037655 26 -1.049184 1.491936 -1.701432 0.6571063 27 -2.762975 1.067083 -2.916852 -0.5144604 28 -3.925424 -0.6923473 -3.171641 -2.414330 29 -3.864654 -2.941868 -2.453070 -4.191966 30 -2.798688 -4.782580 -1.312542 -5.383582 31 -1.424191 -5.841528 -0.3627301 -6.001682 32 -0.3772267 -6.241541 0.5466485E-06 -6.252930 === TOPOGRAPHY FUNCTION AT INTERNAL POINTS === POINT # X-COORDINATE Y-COORDINATE PHAI-REAL PHAI-IMAG FREE TERM -------------------------------------------------------------------------- 1 1.0000 0.00000E+00 -0.7659488 0.6783977 1.00000 2 2.0000 0.00000E+00 -0.3915726 0.5258987 1.00000 3 3.0000 0.00000E+00 -0.2794843 0.4289781 1.00000 4 4.0000 0.00000E+00 -0.2251466 0.3693301 1.00000 5 5.0000 0.00000E+00 -0.1933860 0.3281124 1.00000 ==== WAVE HEIGHT COEFFICIENT K-PRIME ==== LENGTH ALONG BOUNADRY K-PRIME ---------------------------------------- 0.0000000000 0.6207009910 0.0980171426 0.4827464829 0.1960342932 0.2744946493 0.2940514257 0.5351480462 0.3920685552 0.8184334315 0.4900857267 0.9133489256 0.5881028320 0.9472964942 0.6861200198 1.1123028803 0.7841371367 1.3422429697 0.8821542576 1.4978780203 0.9801714367 1.5812052817 1.0781886095 1.6631493903 1.1762056741 1.7626933375 1.2742228456 1.8474641287 1.3722400446 1.8967414132 1.4702571082 1.9167664280 1.5682742839 1.9214293534 1.6662914646 1.9167664410 1.7643085226 1.8967413832 1.8623257084 1.8474640718 1.9603428799 1.7626933211 2.0583600745 1.6631493054 2.1563772463 1.5812051564 2.2543941856 1.4978779880 2.3524113639 1.3422428590 2.4504285450 1.1123026674 2.5484457328 0.9472964385 2.6464628924 0.9133489431 2.7444800829 0.8184332141 2.8424970216 0.5351482052 2.9405142075 0.2744946234 3.0385313866 0.4827466373