=================================================== ===== QUASI STEADY WAVE PROPARGATION ANALYSIS ===== =========== BY BOUNDARY ELEMENT METHOD ============ ============== USING LINEAR ELEMENT =============== == ALONG WITH STRAIGHT FORMATION OF [A]{X}={RHS} == =================================================== OMEGA = 3.41751800000000 ==== 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 -1.178196 -2.728855 -1.880213 -2.302084 2 2 3 NUEMANN -1.774689 -2.172884 -2.315025 -1.584803 3 3 4 NUEMANN -2.185770 -1.496319 -2.523173 -0.8063235 4 4 5 NUEMANN -2.376635 -0.7594946 -2.494966 -0.1918131E-01 5 5 6 NUEMANN -2.335356 -0.1795422E-01 -2.220839 0.7225521 6 6 7 NUEMANN -2.053420 0.6680822 -1.690546 1.343475 7 7 8 NUEMANN -1.527837 1.214170 -0.9161576 1.723122 8 8 9 NUEMANN -0.7917838 1.489198 0.2015620E-06 1.686604 9 9 10 NUEMANN 0.1574848E-06 1.317780 0.7365917 1.092693 10 10 11 NUEMANN 0.4202374 0.6233988 0.7246763 0.2001745 11 11 12 NUEMANN -0.1817587 -0.5020649E-01 -0.1654873 0.9039287E-01 12 12 13 NUEMANN -1.446170 0.7899308 -0.6531847 1.512861 13 13 14 NUEMANN -1.186782 2.748742 -0.1272650 2.991293 14 14 15 NUEMANN -0.1450460 3.409228 0.2983138E-06 3.412312 15 15 16 NUEMANN 0.2914498E-06 3.333797 -0.5301412 3.291376 16 16 17 NUEMANN -0.5014279 3.113110 -1.249901 2.894932 17 17 18 NUEMANN -1.178197 2.728855 -1.880214 2.302085 18 18 19 NUEMANN -1.774688 2.172883 -2.315024 1.584803 19 19 20 NUEMANN -2.185770 1.496319 -2.523173 0.8063233 20 20 21 NUEMANN -2.376634 0.7594943 -2.494966 0.1918071E-01 21 21 22 NUEMANN -2.335355 0.1795366E-01 -2.220839 -0.7225529 22 22 23 NUEMANN -2.053421 -0.6680833 -1.690546 -1.343476 23 23 24 NUEMANN -1.527835 -1.214170 -0.9161573 -1.723120 24 24 25 NUEMANN -0.7917846 -1.489199 0.5498804E-07 -1.686605 25 25 26 NUEMANN 0.4296337E-07 -1.317782 0.7365927 -1.092694 26 26 27 NUEMANN 0.4202369 -0.6233978 0.7246753 -0.2001739 27 27 28 NUEMANN -0.1817605 0.5020691E-01 -0.1654889 -0.9039381E-01 28 28 29 NUEMANN -1.446171 -0.7899314 -0.6531835 -1.512862 29 29 30 NUEMANN -1.186780 -2.748744 -0.1272657 -2.991294 30 30 31 NUEMANN -0.1450469 -3.409228 0.2983138E-06 -3.412312 31 31 32 NUEMANN 0.2914498E-06 -3.333797 -0.5301412 -3.291376 32 32 1 NUEMANN -0.5014280 -3.113110 -1.249900 -2.894933 == TOPOGRAPHY FUNCTION(PHAI) AT NODAL POINT== NODAL # X-COORDINATE Y-COORDINATE PHAI-REAL PHAI-IMAG FREE TERM ----------------------------------------------------------------------------------- 1 0.8000000 0.0000000E+00 1.129950 -0.7089615 0.5191425 2 0.7188623 -0.1429906 0.6282778 -0.7975610 0.5145851 3 0.6352836 -0.2631431 0.1326358 -0.7870742 0.5121230 4 0.5501380 -0.3675905 -0.2683328 -0.6880372 0.5108902 5 0.4618802 -0.4618802 -0.5366940 -0.5241316 0.5105142 6 0.3675904 -0.5501381 -0.6555249 -0.3233751 0.5108903 7 0.2631431 -0.6352836 -0.6177306 -0.1204691 0.5121228 8 0.1429906 -0.7188624 -0.4327946 0.3639831E-01 0.5145853 9 -0.3496911E-07 -0.8000000 -0.1561052 0.8455190E-01 0.5191424 10 -0.1735574 -0.8725321 0.6441704E-01 -0.1913568E-01 0.5277010 11 -0.3807706 -0.9192613 0.1164151E-01 -0.1920381 0.5440870 12 -0.6059177 -0.9068196 -0.3310525 -0.1890878 0.5712908 13 -0.8000000 -0.8000000 -0.6384215 0.3720292E-01 0.5898464 14 -0.9068198 -0.6059175 -0.7859742 0.2427631 0.5712908 15 -0.9192614 -0.3807704 -0.8853871 0.2568898 0.5440870 16 -0.8725321 -0.1735574 -0.9638537 0.9109952E-01 0.5277011 17 -0.8000000 0.6993822E-07 -0.9701286 -0.1573015 0.5191424 18 -0.7188623 0.1429907 -0.8834704 -0.4111332 0.5145853 19 -0.6352836 0.2631431 -0.7150868 -0.6281821 0.5121229 20 -0.5501379 0.3675905 -0.4843615 -0.7875597 0.5108903 21 -0.4618801 0.4618803 -0.2095108 -0.8762059 0.5105142 22 -0.3675903 0.5501381 0.9106600E-01 -0.8805388 0.5108902 23 -0.2631429 0.6352838 0.3913407 -0.7827375 0.5121230 24 -0.1429906 0.7188623 0.6443955 -0.5636190 0.5145851 25 0.9539905E-08 0.8000000 0.7654089 -0.2221054 0.5191425 26 0.1735575 0.8725322 0.6366323 0.1689692 0.5277011 27 0.3807707 0.9192614 0.2277640 0.3904587 0.5440870 28 0.6059178 0.9068196 -0.1303025 0.2174815 0.5712907 29 0.8000003 0.7999998 0.7506700E-01 -0.1338669 0.5898465 30 0.9068197 0.6059176 0.7638980 -0.3184717 0.5712907 31 0.9192614 0.3807705 1.362716 -0.4060276 0.5440870 32 0.8725321 0.1735573 1.458267 -0.5499249 0.5277010 == ELEMENT INFORMATION AND SOLUTION OF HEAT FLUX == ELEMENT # FLUX(1)-REAL FLUX(1)-IMAG FLUX(2)-REAL HLUX(2)-IMAG --------------------------------------------------------------------------- 1 -1.178196 -2.728855 -1.880213 -2.302084 2 -1.774689 -2.172884 -2.315025 -1.584803 3 -2.185770 -1.496319 -2.523173 -0.8063235 4 -2.376635 -0.7594946 -2.494966 -0.1918131E-01 5 -2.335356 -0.1795422E-01 -2.220839 0.7225521 6 -2.053420 0.6680822 -1.690546 1.343475 7 -1.527837 1.214170 -0.9161576 1.723122 8 -0.7917838 1.489198 0.2015620E-06 1.686604 9 0.1574848E-06 1.317780 0.7365917 1.092693 10 0.4202374 0.6233988 0.7246763 0.2001745 11 -0.1817587 -0.5020649E-01 -0.1654873 0.9039287E-01 12 -1.446170 0.7899308 -0.6531847 1.512861 13 -1.186782 2.748742 -0.1272650 2.991293 14 -0.1450460 3.409228 0.2983138E-06 3.412312 15 0.2914498E-06 3.333797 -0.5301412 3.291376 16 -0.5014279 3.113110 -1.249901 2.894932 17 -1.178197 2.728855 -1.880214 2.302085 18 -1.774688 2.172883 -2.315024 1.584803 19 -2.185770 1.496319 -2.523173 0.8063233 20 -2.376634 0.7594943 -2.494966 0.1918071E-01 21 -2.335355 0.1795366E-01 -2.220839 -0.7225529 22 -2.053421 -0.6680833 -1.690546 -1.343476 23 -1.527835 -1.214170 -0.9161573 -1.723120 24 -0.7917846 -1.489199 0.5498804E-07 -1.686605 25 0.4296337E-07 -1.317782 0.7365927 -1.092694 26 0.4202369 -0.6233978 0.7246753 -0.2001739 27 -0.1817605 0.5020691E-01 -0.1654889 -0.9039381E-01 28 -1.446171 -0.7899314 -0.6531835 -1.512862 29 -1.186780 -2.748744 -0.1272657 -2.991294 30 -0.1450469 -3.409228 0.2983138E-06 -3.412312 31 0.2914498E-06 -3.333797 -0.5301412 -3.291376 32 -0.5014280 -3.113110 -1.249900 -2.894933 === TOPOGRAPHY FUNCTION AT INTERNAL POINTS === POINT # X-COORDINATE Y-COORDINATE PHAI-REAL PHAI-IMAG FREE TERM -------------------------------------------------------------------------- 1 1.0000 0.00000E+00 1.335848 -0.4331711E-01 1.00000 2 2.0000 0.00000E+00 -0.9605303 0.1834939 1.00000 3 3.0000 0.00000E+00 0.7578873 -0.3555620E-01 1.00000 4 4.0000 0.00000E+00 -0.6263609 -0.1060261 1.00000 5 5.0000 0.00000E+00 0.5098181 0.2207625 1.00000 ==== WAVE HEIGHT COEFFICIENT K-PRIME ==== LENGTH ALONG BOUNADRY K-PRIME ---------------------------------------- 0.0000000000 0.3776112744 0.1644069399 0.2204620243 0.3107695736 0.4339269674 0.4455249964 0.6308632294 0.5746760503 0.7230310678 0.7038271667 0.7166890860 0.8385825518 0.6624349482 0.9849452657 0.6771505646 1.1493521384 0.8481199635 1.3374560165 1.0643008147 1.5498728695 1.1888757123 1.7753634716 1.3396400606 1.9968998797 1.5974106892 2.2184365019 1.7962679880 2.4439271602 1.9028075561 2.6563437952 1.9523108497 2.8444478023 1.9677184160 3.0088547558 1.9591305291 3.1552172671 1.9366364166 3.2899727968 1.9105254395 3.4191238710 1.8887066570 3.5482750092 1.8747434157 3.6830305158 1.8650395995 3.8293928394 1.8439212804 3.9937998266 1.7793255897 4.1819038703 1.6366206946 4.3943207538 1.4416481643 4.6198112732 1.2533684077 4.8413479764 0.8829461016 5.0628841129 0.3625942549 5.2883747448 0.5444456995 5.5007916109 0.6120781579