TítuloMeshless methods for potential problems in electrical engineering applications

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(1)Preprint of the paper "Meshless methods for potential problems in electrical engineering applications" I. Colominas, G. Mosqueira, M. Chao, F. Navarrina, M. Casteleiro (1999) En "Computational Methods in Engineering and Science", Volumen 1, Sección "FE and BE Methods", 381---392. J. Bento, E. Arantes e Oliveira, E. Pereira (Editors); Elsevier Science Ltd., Oxford, UK. (ISBN: 08-043570-X-HC) http://caminos.udc.es/gmni.

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(10) MLS with enrichment MLS. 0.0. 0.0. 1.0. 1.0. 2.0. 2.0. Analytical Solution. 0.2. 0.4. 0.0. 0.2. 0.4. 0.0. 0.2. 0.4. 1.a). 0.6. 0.8. 1.0. 0.6. 0.8. 1.0. 0.6. 0.8. 1.0. 0.0. 0.2. 0.4. 0.0. 0.2. 0.4. 0.0. 0.2. 0.4. 2.a). 0.6. 0.8. 1.0. 0.6. 0.8. 1.0. 0.6. 0.8. 1.0. 0.0. 0.0. 1.0. 1.0. 2.0. 2.0. 0.0. 2.b). 0.0. 0.0. 1.0. 1.0. 2.0. 2.0. 1.b). 1.c). ) LJ ([DPSOH &RPSDULVRQ RI UHVXOWV RE WDLQHG E\ XVLQJ DQ HQULFKHG 0/6 DSSURDFK D VWDQ GDUG 0/6 DSSURDFK ERWK ZLWK TXDGUDWLF LQWHUSR ODWLRQ DQG WKH DQDO\WLFDO VROXWLRQ D QRGDO SRLQWV VXEGRPDLQV RI SRLQWV E QRGDO SRLQWV VXEGRPDLQV RI SRLQWV F QRGDO SRLQWV VXE GRPDLQV RI SRLQWV. 2.c). ) LJ ([DPSOH &RPSDULVRQ RI UHVXOWV RE WDLQHG E\ XVLQJ DQ HQULFKHG 0/6 DSSURDFK D VWDQ GDUG 0/6 DSSURDFK ERWK ZLWK TXDGUDWLF LQWHUSR ODWLRQ DQG WKH DQDO\WLFDO VROXWLRQ D QRGDO SRLQWV VXEGRPDLQV RI SRLQWV E QRGDO SRLQWV VXEGRPDLQV RI SRLQWV F QRGDO SRLQWV VXEGR PDLQV RI SRLQWV.

(11) distance (m). ΓE. 0.. Γ. Ε1. γ1. -20.. γ2 -40.. Ε2. -60.. Γ:. -80.. -100. 0.. 20.. 60.. 40.. 80.. distance (m). 0.. 100.. a). ΓE. 20.. 60.. 40.. distance (m). 80.. 100.. b). ΓE. 0.. V (V) 1.00 0.90 0.80 0.70. -20.. 0.60 0.50 0.40 0.30 0.20. -40.. -20.. 0.. distance (m). 20.. c). ΓE. -40. 40. -40.. 0.10 0.00. -20.. 0.. distance (m). 20.. d). ΓE. 0.. 40.. V (V) 1.00 0.90 0.80 0.70. -20.. 0.60 0.50 0.40 0.30 0.20 0.10. -40.. -20.. 0.. distance (m). 20.. e). -40. 40. -40.. 0.00. -20.. 0.. distance (m). 20.. f). 40.. Figure 3.- Toroidal electrode buried to a depth of 7 m: a) Distribution of nodal points (npoin=3019), b) Domain solution scheme, c) Contour lines around the electrode, considering the soil homogeneous and isotropic, d) Potential distribution around the electrode, considering the soil as homogeneous and isotropic, e) Contour lines around the electrode assuming a two- layer model (γ2 / γ1 = 4), f) Potential distribution around the electrode assuming a two-layer model (γ2 / γ1 = 4)..

(12)