|
This paper presents a novel explicit meshless solver for incompressibleflows using the multidimensional
characteristic relations of artificial compressibility equations. The main objective of this research is using
the recently introduced multi-dimensional characteristic based (MCB) scheme in order to prevent the
instabilities and comparing it with the results obtained by the one dimensional characteristic based (CB)
method. An explicit four-stage Runge–Kutta scheme was used for meshless calculations and local time
stepping and residual smoothing are used to accelerate convergence. The MCB and CB meshless methods
are used for solving two incompressibleflows includingflow in a lid-driven cavity and the steady and
unsteadyflows past a circular cylinder. The results obtained using new proposed MCB meshless method
show high accuracy and better convergence rate respect to CB scheme and the results are in good
agreement with standard benchmark solutions in the literature.
|