Local RBF-Based Meshfree Simulation of Mixed Convection in a Lid-Driven Cavity Containing a Porous Elliptic Cylinder.
by
Albano 3: 6334 - Kilo (6 seats)
Albano Building 3
A numerical investigation is conducted to study unsteady two-dimensional mixed convection flow in a lid-driven cavity with moving top and left walls containing hot porous bodies. The combined effects of lid motion, body geometry, and thermal gradients generate complex flow and heat transfer characteristics. Fluid flow within the porous medium is modeled using the Brinkman–Forchheimer–extended Darcy formulation, while thermal transport is described using the local thermal nonequilibrium (LTNE) model, which accounts for temperature differences between the fluid and solid phases.
The coupled non-linear governing equations are discretized using a local radial basis function (RBF)–based meshfree scheme, and an iterative solver, such as the successive over–relaxation method or the bi–conjugate gradient stabilized method, is employed to solve the resulting algebraic system. This meshfree numerical solver offers high flexibility in handling complex geometries and supports scattered node layouts without requiring specific connectivity among the nodes. The local RBF approach provides stable numerical solutions across various boundary conditions without compromising accuracy.
The developed meshfree numerical model is validated against experimental and benchmark results available in the literature and shows excellent agreement in terms of velocity, temperature fields, and heat transfer metrics. Overall, this work contributes to the understanding of mixed convection in complex geometries and demonstrates the robustness and flexibility of meshfree numerical methods in solving fluid-thermal problems involving porous and deformable internal bodies.