Moving grid method without interpolations

A Deformation Method for Moving Grid Generation

In recent years several new moving grid methods have shown promising potential for applications in the numerical solution of time dependent differential equations. In this paper, a deformation method is reviewed and some new developments related to the method are presented. In particular, the method is applied to grid morphing and adaptive grid generation on domains with moving boundary. The me...

A grid based particle method for moving interface problems

We propose a novel algorithm for modeling interface motions. The interface is represented and is tracked using quasi-uniform meshless particles. These particles are sampled according to an underlying grid such that each particle is associated to a grid point which is in the neighborhood of the interface. The underlying grid provides an Eulerian reference and local sampling rate for particles on...

A Moving Grid Method for the Immersed Fibre Problem

A linear stability analysis is performed on the Immersed Fibre Problem, which models the motion of elastic bres immersed in an incom-pressible uid. The results are used to gain insight into the physical problem, and also to help in designing an eecient, moving grid numerical scheme. Computations are performed for a two-dimensional model problem and the second-order convergence of the scheme is ...

Analysis of thin beams, using the meshless local Petrov±Galerkin method, with generalized moving least squares interpolations

In this paper, the conventional moving least squares interpolation scheme is generalized, to incorporate the information concerning the derivative of the ®eld variable into the interpolation scheme. By using this generalized moving least squares interpolation, along with the MLPG (Meshless Local Petrov±Galerkin) paradigm, a new numerical approach is proposed to deal with 4th order problems of t...

The moving grid nite element