Solving natural convection heat transfer in turbulent flow by extending the meshless local Petrov-Galerkin method

DOI10.1016/j.enganabound.2018.03.018zbMath1403.76050OpenAlexW2797199691WikidataQ129987623 ScholiaQ129987623MaRDI QIDQ1658897

Vali Enjilela, Nasrin Sheikhi, Mohammad Najafi

Publication date: 15 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.03.018

zbMATH Keywords

natural convectionturbulent flowmeshless methodMLPGSpalart-Allmaras model

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Convective turbulence (76F35)

Related Items (4)

A simple staggered approach for comprehensive analysis of forced convection heat transfer using the improved element-free Galerkin-reduced integration penalty method to solve the fluid dynamics problem ⋮ Stabilized and variationally consistent integrated meshfree formulation for advection-dominated problems ⋮ A plausible extension of standard penalty, streamline upwind and immersed boundary techniques to the improved element-free Galerkin-based solution of incompressible Navier-Stokes equations ⋮ Implementation of a standard stream-upwind stabilization scheme in the element-free Galerkin based solution of advection-dominated heat transfer problems during solidification in direct chill casting processes

Uses Software

• Mfree2D

Cites Work

• A method for solving partial differential equations via radial basis functions: application to the heat equation
• Natural convection heat transfer at high Rayleigh numbers -- extended meshless local Petrov-Galerkin (MLPG) primitive variable method
• On the stability of the moving least squares approximation and the element-free Galerkin method
• A stabilized MLPG method for steady state incompressible fluid flow simulation
• Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
• Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
• MLPG approximation to the \(p\)-Laplace problem
• Laminar and turbulent natural convection in an enclosed cavity
• Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation
• Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• An investigation and comparative analysis of two-and three-dimensional turbulent natural convection in a horizontal annulus
• A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation
• Two-step Taylor-characteristic-based MLPG method for fluid flow and heat transfer applications
• Meshless method based on Shepard function and partition of unity for two-dimensional crack problems
• Direct meshless local Petrov-Galerkin method for the two-dimensional Klein-Gordon equation
• Single layer regularized meshless method for three dimensional exterior acoustic problem
• A numerical mesh-free model for elasto-plastic contact problems
• A variational multiscale interpolating element-free Galerkin method for convection-diffusion and Stokes problems
• Independent cover meshless method for the simulation of multiple crack growth with arbitrary incremental steps and directions
• A novel approach to solve inverse heat conduction problems: coupling scaled boundary finite element method to a hybrid optimization algorithm
• Error analysis in Sobolev spaces for the improved moving least-square approximation and the improved element-free Galerkin method
• A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method
• Analysis of the complex moving least squares approximation and the associated element-free Galerkin method
• Extending MLPG primitive variable-based method for implementation in fluid flow and natural, forced and mixed convection heat transfer
• Buoyancy-driven fluid flow and heat transfer in a square cavity with a wavy baffle-meshless numerical analysis
• Meshless local Petrov-Galerkin method-higher Reynolds numbers fluid flow applications
• MLPG6 for the solution of incompressible flow equations
• Numerical Solution of Non-steady Flows, Around Surfaces in Spatially and Temporally Arbitrary Motions, by using the MLPG method
• Meshless Local Petrov-Galerkin Method with Unity Test Function for Non-Isothermal Fluid Flow
• A steepest gradient method for optimum structural design
• Explicit and semi-implicit CBS procedures for incompressible viscous flows
• Element‐free Galerkin methods
• Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions
• THE PARTITION OF UNITY METHOD
• h‐adaptive finite element solution of high Rayleigh number thermally driven cavity problem
• Turbulent Flows

This page was built for publication: Solving natural convection heat transfer in turbulent flow by extending the meshless local Petrov-Galerkin method