Simulation of heat conduction in complex domains of multi-material composites using a meshless method

Shear-driven flow in an elliptical enclosure generated by an inner rotating circular cylinder

(2022) Akash Unnikrishnan et al.   PHYSICS OF FLUIDS

An efficient local RBF-based method for elasticity problems involving multiple material phases

(2022) Faranak Gholampour et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Metal foams application to enhance the thermal performance of phase change materials: A review of experimental studies to understand the mechanisms

(2022) Mohamad Aramesh et al.   Journal of Energy Storage

A semi-implicit meshless method for incompressible flows in complex geometries

(2022) Shantanu Shahane et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast Variable Density 3-D Node Generation

(2021) Kiera van der Sande et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Fully Meshless Approach to the Numerical Simulation of Heat Conduction Problems over Arbitrary 3D Geometries

(2021) Davide Miotti et al.   Energies

Micro-combustion modelling with RBF-FD: A high-order meshfree method for reactive flows in complex geometries

(2021) Víctor Bayona et al.   APPLIED MATHEMATICAL MODELLING

A high-order accurate meshless method for solution of incompressible fluid flow problems

(2021) Shantanu Shahane et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Local meshless methods for second order elliptic interface problems with sharp corners

(2020) Masood Ahmad et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries

(2019) Víctor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A critical review on heat transfer augmentation of phase change materials embedded with porous materials/foams

(2019) Tauseef-ur-Rehman et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Comparison of Moving Least Squares and RBF+poly for Interpolation and Derivative Approximation

(2019) Víctor Bayona   JOURNAL OF SCIENTIFIC COMPUTING

Comparing RBF-FD approximations based on stabilized Gaussians and on polyharmonic splines with polynomials

(2018) L. G. C. Santos et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces

(2018) Varun Shankar et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces

(2017) Bradley Martin et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

(2017) Victor Bayona et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A high-order finite volume method on unstructured grids using RBF reconstruction

(2016) Yilang Liu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A direct velocity-pressure coupling Meshless algorithm for incompressible fluid flow simulations

(2016) Andrés Vidal et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media

(2016) S.Y. Reutskiy   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Enhancing finite differences with radial basis functions: Experiments on the Navier–Stokes equations

(2016) Natasha Flyer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy

(2016) Natasha Flyer et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Compact high order finite volume method on unstructured grids I: Basic formulations and one-dimensional schemes

(2016) Qian Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Compact high order finite volume method on unstructured grids II: Extension to two-dimensional Euler equations

(2016) Qian Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces

(2014) Varun Shankar et al.   JOURNAL OF SCIENTIFIC COMPUTING

Conventional and newly developed bioheat transport models in vascularized tissues: A review

(2013) Arka Bhowmik et al.   JOURNAL OF THERMAL BIOLOGY

Stable Evaluation of Gaussian Radial Basis Function Interpolants

(2012) Gregory E. Fasshauer et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Trigonometric variable shape parameter and exponent strategy for generalized multiquadric radial basis function approximation

(2011) Song Xiang et al.   APPLIED MATHEMATICAL MODELLING

Stable Computations with Gaussian Radial Basis Functions

(2011) Bengt Fornberg et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

(2009) Christophe Geuzaine et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A note on two upwind strategies for RBF-based grid-free schemes to solve steady convection-diffusion equations

(2009) Y. V. S. S. Sanyasiraju et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A radial basis function method for the shallow water equations on a sphere

(2009) N. Flyer et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Local radial basis function based gridfree scheme for unsteady incompressible viscous flows

(2008) Y.V.S.S. Sanyasiraju et al.   JOURNAL OF COMPUTATIONAL PHYSICS