Search results for "Boundary Element Methods"
showing 3 items of 3 documents
Magnētiskā šķidruma pilieni rotējošā laukā: teorija, eksperimenti un simulācijas
2022
Magnētiskā šķidruma pilieni ir reizē deformējami un ietekmējami ar ārējo magnētisko lauku, kas tos padara par interesantu materiālu, kas is atradis daudzus pielietojumus mikrofluīdikā. Šajā darbā tiek aplūkota šādu pilienu dinamika rotējošā magnētiskajā laukā. Pilieni tiek pētīti, izmantojot vairākas pieejas - teorētiski, eksperimentāli un izmantojot simulācijas. Kad rotējošais magnētiskais lauks lauks ir vājš un piliena deformācija ir maza, piliena kustība tiek aprēķināta analītiski. Konstatēts, ka piliena formas attīstību laikā regulē trīs nelineāru diferenciālvienādojumu sistēma. Mazo deformāciju tuvinājumā piliena uzvedību kvalitatīvi raksturo viens parametrs, kas ir proporcionāls kapil…
Comparison among three boundary element methods for torsion problems: CPM, CVBEM, LEM
2011
This paper provides solutions for De Saint-Venant torsion problem on a beam with arbitrary and uniform cross-section. In particular three methods framed into complex analysis have been considered: Complex Polynomial Method (CPM), Complex Variable Boundary Element Method (CVBEM) and Line Element-less Method (LEM), recently proposed. CPM involves the expansion of a complex potential in Taylor series, computing the unknown coefficients by means of collocation points on the boundary. CVBEM takes advantage of Cauchy’s integral formula that returns the solution of Laplace equation when mixed boundary conditions on both real and imaginary parts of the complex potential are known. LEM introduces th…
BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering
2022
Abstract Magnetic fields generated by normal or superconducting electromagnets are used to guide and focus particle beams in storage rings, synchrotron light sources, mass spectrometers, and beamlines for radiotherapy. The accurate determination of the magnetic field by measurement is critical for the prediction of the particle beam trajectory and hence the design of the accelerator complex. In this context, state-of-the-art numerical field computation makes use of boundary-element methods (BEM) to express the magnetic field. This enables the accurate computation of higher-order partial derivatives and local expansions of magnetic potentials used in efficient numerical codes for particle tr…