Projection Method II: Godunov–Ryabenki Analysis

Projection Method II : Godunov-Ryabenki Analysis

This is the second of a series of papers on the subject of projection methods for viscous incompressible flow calculations. The purpose of the present paper is to explain why the accuracy of the velocity approximation is not affected by (1) the numerical boundary layers in the approximation of pressure and the intermediate velocity field, and (2) the non-commutativity of the projection operator...

The Projection Method in Wavelet Analysis

A simple way of obtaining multivariate wavelets is the tensor product of univariate wavelets. Multivariate wavelets are of interest in both theory and application. In this paper, we study the projection method, an inverse operation in some sense to the tensor product method, to investigate various properties of multivariate refinable function vectors and multivariate multiwavelets. To illustrat...

A High-Velocity Impact Simulation using SPH-Projection Method

In this paper, a new smoothed particle hydrodynamics (SPH) algorithm for simulation of elastic-plastic deformation of solids was proposed. The key point was that materials under highvelocity impact (HVI) behave like fluids. This led to propose a method which was similar to the socalled SPH-projection method, in which the momentum equations are solved as the governing equations. The method consi...

The Random Projection Method

The Projection Method for Multidimensional Framelet and Wavelet Analysis

The projection method is a simple way of constructing functions and filters by integrating multidimensional functions and filters along parallel superplanes in the space domain. Equivalently expressed in the frequency domain, the projection method constructs a new function by simply taking a cross-section of the Fourier transform of a multidimensional function. The projection method is linked t...