%0 Journal Article
%A Archambault, Mark R.
%A MacCormack, Robert W.
%A Edwards, Christopher F.
%D 2003
%I Begell House
%N 1
%P 25
%R 10.1615/AtomizSpr.v13.i1.40
%T COMPUTATION OF SPRAY DYNAMICS BY MOMENT TRANSPORT EQUATIONS I: THEORY AND DEVELOPMENT
%U http://dl.begellhouse.com/journals/6a7c7e10642258cc,71f4a437463e1102,665c2f604f6a719e.html
%V 13
%X This article presents the results of a study into the possibility of solving for spray statistics directly-without the use of stochastic simulation or Monte Carlo integration. It is based on formulating a system of low-order moment equations from the spray equation and then closing this system by use of a maximum-entropy assumption. The work has two parts: In this article, the basic formulation is presented and issues related to closure of the moment hierarchy and implementation of appropriate models are addressed. In a companion article, the model is applied to a simple case of a quasi-one-dimensional spray flow, that is, a flow in which the statistics of the flow vary in only one spatial dimension. The work shows that while it is possible to formulate the spray problem in a way that permits a very cost-effective, direct solution of the spray statistics, substantial modeling issues exist. These issues, and others related to the basic approach, are discussed in this article.
%8 2003-02-01