Showing papers on "Meshfree methods published in 1982"
01 Jan 1982
TL;DR: This chapter discusses some recent progress in the design and numerical analysis of vortex methods for incompressible fluid flow in two or three space dimensions, which indicates their flexibility, higher order accuracy, and nonlinear stability.
Abstract: Publisher Summary This chapter discusses some recent progress in the design and numerical analysis of vortex methods for incompressible fluid flow in two or three space dimensions. These methods have been developed for the simulation of high Reynolds number or inviscid fluid flows. Vortex methods have a number of attractive computational advantages when compared to conventional finite difference or finite element methods for this class of problems. As vortex methods are neither finite difference nor finite element methods, a different point of view and techniques are required for the numerical analysis of these methods. This chapter focuses on the formulation of these methods and the recent theoretical analysis, which indicates their flexibility, higher order accuracy, and nonlinear stability.
4 citations