Particle finite element method in fluid-mechanics including thermal convection-diffusion

• Published in: Computers & structures Vol. 83; no. 17; pp. 1459 - 1475
• Main Authors: Aubry, R., Idelsohn, S.R., Oñate, E.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Oxford Elsevier Ltd 01.06.2005; Elsevier Science
• Subjects: Analytical and numerical techniques; Computational techniques; Convection and heat transfer; Coupled thermo-mechanical analysis; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); General theory; Heat transfer; Incompressible fluid flow; Lagrangian description; Mathematical methods in physics; Particle method; Physics; Rayleigh–Bénard instability with free surface; Thermal convection; Turbulent flows, convection, and heat transfer; Lagrangian description; Coupled thermo-mechanical analysis; Particle method; Thermal convection; Rayleigh–Bénard instability with free surface; Incompressible fluid flow; Thermal diffusion; Heat flow; Boussinesq model; Convection diffusion equation; Free surface; Convection; Finite element method; Fixed point theorem; Modelling; Mesh generation; Surface instability; Fluid mechanics; Rayleigh-Bénard instability with free surface; Lagrangian; Fractional step method; Thermomechanical properties; Incompressible flow; Meshless method; Incompressible fluid; Non linear effect; Viscous fluids; Heat transfer; Viscous flow

A method is presented for the solution of an incompressible viscous fluid flow with heat transfer using a fully Lagrangian description of the motion. Due to the severe element distortion, a frequent remeshing is performed in an efficient manner. An implicit time integration through a classical fract...