This paper presents a one-sided immersed boundary (IB) method using kernel functions constructed via moving least squares (MLS) method. The resulting kernels effectively couple structural degrees of freedom to fluid variables on only one side the fluid-structure interface. reduces spurious feedback forcing and internal flows that are typically observed in IB models use isotropic structure both ...

Based on the theory of peridynamics, least squares and moving method are proposed to fit physical information at nondiscrete points. It makes up for shortcomings peridynamic that only solves discrete nodes cannot obtain other blank areas. The extended is used one-way vibration problem rod, curve displacement a node in rod extracted with time. fitted results compared theoretical verify feasibili...

A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient method which can avoid singularities and breakdowns in the moving least squares method caused by particular configurations of nodes in the system. The method is tested by applying it to the estimation of first and seco...

Developing suitable interpolation methods to simulate dynamic motions of continuous materials such as fluids is an important problem. In this paper, we propose a novel method to enforce the divergence condition to the interpolated velocity field by moving least squares, by means of the diffusive derivatives and moving divergence constraints that allow the practical use and easy implementation. ...