A localized collocation meshless method (LCMM) for incompressible flows CFD modeling with applications to transient hemodynamics

Z El Zahab, E Divo, AJ Kassab - Engineering analysis with boundary …, 2009 - Elsevier
The current paper reports on the development and validation of a localized collocation
meshless method (LCMM) to model laminar incompressible flows. A high order upwinding …

Localized meshless modeling of natural-convective viscous flows

E Divo, AJ Kassab - Numerical Heat Transfer, Part B …, 2008 - Taylor & Francis
A localized radial-basis function (RBF) collocation meshless method is developed for natural-
convection heat transfer problems in fully viscous fluid flows. The expansion method is …

An explicit meshless point collocation solver for incompressible Navier-Stokes equations

GC Bourantas, BF Zwick, GR Joldes, VC Loukopoulos… - Fluids, 2019 - mdpi.com
We present a strong form, meshless point collocation explicit solver for the numerical
solution of the transient, incompressible, viscous Navier-Stokes (NS) equations in two …

Collocated discrete least‐squares (CDLS) meshless method: Error estimate and adaptive refinement

MH Afshar, M Lashckarbolok - International journal for …, 2008 - Wiley Online Library
Meshless methods are new approaches for solving partial differential equations. The main
characteristic of all these methods is that they do not require the traditional mesh to construct …

A meshless scheme for incompressible fluid flow using a velocity–pressure correction method

GC Bourantas, VC Loukopoulos - Computers & Fluids, 2013 - Elsevier
A meshless point collocation method is proposed for the numerical solution of the steady
state, incompressible Navier–Stokes (NS) equations in their primitive u–v–p formulation. The …

An efficient localized RBF meshless method applied to fluid flow and conjugate heat transfer

E Divo, AJ Kassab - ASME International Mechanical …, 2005 - asmedigitalcollection.asme.org
A localized radial basis function (RBF) meshless method is developed for coupled viscous
fluid flow and convective heat transfer problems. The method is based on new localized …

Global versus localized RBF meshless methods for solving incompressible fluid flow with heat transfer

J Waters, DW Pepper - Numerical Heat Transfer, Part B …, 2015 - Taylor & Francis
Global and localized radial basis function (RBF) meshless methods are compared for
solving viscous incompressible fluid flow with heat transfer using structured multiquadratic …

Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow

FN Felten, TS Lund - Journal of Computational Physics, 2006 - Elsevier
The collocated-mesh scheme is often favored over the staggered-mesh scheme for
turbulence simulation in complex geometries due to its simpler form in curvilinear …

Space–time meshfree collocation method: Methodology and application to initial‐boundary value problems

H Netuzhylov, A Zilian - International journal for numerical …, 2009 - Wiley Online Library
A novel space–time meshfree collocation method (STMCM) for solving systems of non‐
linear ordinary and partial differential equations by a consistent discretization in both space …

The least-squares meshfree method for the steady incompressible viscous flow

XK Zhang, KC Kwon, SK Youn - Journal of Computational Physics, 2005 - Elsevier
A least-squares meshfree method (LSMFM) based on the first-order velocity–pressure–
vorticity formulation for two-dimensional steady incompressible viscous flow is presented …