An efficient mesh-deformation algorithm has been developed within an unstructured-grid
computational-fluid-dynamics solver framework based on a radial-basis-function volume …

We have developed a parallel algorithm for radial basis function (rbf) interpolation that
exhibits O (N) complexity, requires O (N) storage, and scales excellently up to a thousand …

Through numerical experiments, we examine the condition numbers of the interpolation
matrix for many species of radial basis functions (RBFs), mostly on uniform grids. For most …

Radial basis function (RBF) interpolation is a technique for representing a function starting
with data on scattered points. In the vortex particle method for solving the Navier–Stokes …

This paper describes the development of a Lagrangian roughness model to simulate the
effect of surface roughness in two-dimensional flow on the proximity of the cylinder, at high …

The Lagrangian vortex method offers an alternative numerical approach for direct numerical
simulation of turbulence. The fact that it uses the fast multipole method (FMM)—a …

Abstract The Radial Basis Function (RBF) model stands as a prominent method within the
realm of Machine Learning (ML), showcasing remarkable performance in nonlinear high …

In this paper we introduce simplified, exact, combinatorial formulas that arise in the vortex
interaction model found in [33]. These combinatorial formulas allow for the efficient …

Scattered data interpolation is frequently encountered problems for reconstructing an
unknown function from given scattered data, and radial basis function (RBF) methods have …

An efficient parallelized mesh deformation algorithm has been implemented in an
unstructured CFD solver based on the Radial Basis Functions (RBFs) method. This method …