Application of the local RBF collocation method to natural convection in a 3D cavity influenced by a magnetic field

DOI10.1016/j.enganabound.2020.03.025zbMath1464.76133OpenAlexW3015620071MaRDI QIDQ785060

Katarina Mramor, Božidar Šarler, Robert Vertnik

Publication date: 5 August 2020

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.03.025

zbMATH Keywords

magnetic fieldmultiquadricsmeshless method3Dlocal radial basis function collocation method

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Magnetohydrodynamics and electrohydrodynamics (76W05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations ⋮ New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils ⋮ Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems ⋮ An improved local radial basis function method for solving small-strain elasto-plasticity ⋮ Simulations of dendritic solidification via the diffuse approximate method ⋮ Local radial basis function collocation method for Stokes equations with interface conditions ⋮ A collocation method with space-time radial polynomials for inverse heat conduction problems ⋮ A local collocation method with radial basis functions for an electrospinning problem ⋮ Adaptive selection strategy of shape parameters for LRBF for solving partial differential equations ⋮ Computing high-order derivatives in compact integrated-RBF stencils

Cites Work

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• Local radial basis function collocation method for linear thermoelasticity in two dimensions
• A steepest gradient method for optimum structural design
• THREE-DIMENSIONAL THERMAL LATTICE BOLTZMANN SIMULATION OF NATURAL CONVECTION IN A CUBIC CAVITY
• Three-dimensional numerical simulation of periodic natural convection in a differentially heated cubical enclosure
• Three-dimensional transition of natural-convection flows

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