MULTIDIMENSIONAL TIME DEPENDENT METHOD OF CHARACTERISTICS (NUMERICAL BOUNDARY CONDITIONS, NOZZLE FLOW)
Abstract
A numerical technique based on the method of characteristics in multidimensional gasdynamics is developed. The characteristic equations are recast into a form in which linear combinations of the gasdynamic variables are integrated along initially characteristic rays, and the solution is subsequently obtained by the inversion of a system of linear equations. This formulation facilitates the imposition of boundary conditions, which are usually algebraic, and can therefore be directly incorporated into the linear system. The choice of boundary treatments, which is guided by the theory of characteristics, is described in detail. The method was successfully applied to sample problems in time dependent two- and three-dimensional nozzle flow. While familiar, these examples involve a variety of boundary conditions.
Degree
Ph.D.
Subject Area
Aerospace materials
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