Engineering systems are typically governed by systems of high-order differential equations
which require efficient numerical methods to provide reliable solutions, subject to imposed …

A numerical investigation of double-diffusive laminar mixed convection in an inclined cavity
has been studied numerically. The top lid was considered to move in both directions to …

The two-dimensional Navier–Stokes system of equations for incompressible fluids is solved
by the method of approximate particular solutions (MAPS) in its global formulation. The fluid …

The differential quadrature method (DQ) is employed to simulate the effect of a transverse
magnetic field on buoyancy-driven magnetohydrodynamic (MHD) flow in an enclosure. The …

A steady state laminar natural convection flow in a trapezoidal enclosure with discretely
heated bottom wall, adiabatic top wall, and constant temperature cold inclined walls is …

The present numerical work, the first of its kind, aims at establishing the threshold
parameters for dynamic similitude (based on the Rayleigh number (Ra)), for free convection …

Physics-informed neural networks (PINNs) are an emerging technology that can be used
both in place of and in conjunction with conventional simulation methods. In this paper, we …

The purpose of this paper is to study the effect of a heat source on the solution to the
equations for an incompressible heat conducting viscous fluid. The validity of both the linear …

The dual reciprocity boundary element method (DRBEM) and the differential quadrature
method (DQM) are applied to solve the 2D, unsteady natural convection flow in enclosures …

Natural convection in cavities is studied numerically using a finite volume based
computational procedure. The enclosure used for flow and heat transfer analysis has been …