Nonsingular isogeometric boundary element method for Stokes flows in 3D

DOI10.1016/j.cma.2013.09.017zbMath1295.76022OpenAlexW2082092602WikidataQ59202135 ScholiaQ59202135MaRDI QIDQ741940

Marino Arroyo, Luca Heltai, Antonio De Simone

Publication date: 16 September 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/28558

zbMATH Keywords

boundary element methodStokes flowsisogeometric analysisNURBS

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Boundary element methods applied to problems in fluid mechanics (76M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (39)

Multi-patch nonsingular isogeometric boundary element analysis in 3D ⋮ Isogeometric boundary integral analysis of drops and inextensible membranes in isoviscous flow ⋮ Error analysis of a B-spline based finite-element method for modeling wind-driven ocean circulation ⋮ NURBS curves in direct definition of the shapes of the boundary for 2D Stokes flow problems in modified classical BIE ⋮ Adaptive 2D IGA boundary element methods ⋮ Acceleration of isogeometric boundary element analysis through a black-box fast multipole method ⋮ NURBS-enhanced boundary element method based on independent geometry and field approximation for 2D potential problems ⋮ Stable implementation of adaptive IGABEM in 2D in MATLAB ⋮ Structural shape optimization by IGABEM and particle swarm optimization algorithm ⋮ Isoparametric singularity extraction technique for 3D potential problems in BEM ⋮ A fast boundary integral equation method for point location problem ⋮ Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods ⋮ Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials ⋮ A NURBS-based isogeometric boundary element method for analysis of liquid sloshing in axisymmetric tanks with various porous baffles ⋮ Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle ⋮ Isogeometric FEM-BEM simulations of drop, capsule and vesicle dynamics in Stokes flow ⋮ Low-fidelity 2D isogeometric aeroelastic analysis and optimization method with application to a morphing airfoil ⋮ High performence of sloshing problem in cylindrical tank with various barrels by isogeometric boundary element method ⋮ Isogeometric and NURBS-enhanced boundary element formulations for steady-state heat conduction with volumetric heat source and nonlinear boundary conditions ⋮ Adaptive isogeometric boundary element methods with local smoothness control ⋮ NURBS-enhanced line integration boundary element method for 2D elasticity problems with body forces ⋮ Isogeometric boundary element for analyzing steady-state heat conduction problems under spatially varying conductivity and internal heat source ⋮ Isogeometric boundary element method for steady-state heat transfer with concentrated/surface heat sources ⋮ A separation of the boundary geometry from the boundary functions in PIES for 3D problems modeled by the Navier-Lamé equation ⋮ Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations ⋮ An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution ⋮ NURBS-SEM: a hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces ⋮ Isogeometric boundary element analysis of problems in potential flow ⋮ Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations ⋮ Fast isogeometric boundary element method based on independent field approximation ⋮ Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems ⋮ Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils ⋮ Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices ⋮ A multi-patch nonsingular isogeometric boundary element method using trimmed elements ⋮ The isogeometric Nyström method ⋮ A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling ⋮ An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems ⋮ A 3D isogeometric BE-FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows ⋮ Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM

Uses Software

• Matlab
• NURBS
• GeoPDEs
• NURBS

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