Piecewise Polynomial Solutions of Aerosol Dynamic Equation
Abstract:This paper presents a discretization technique for particle dynamics equation based on piecewise continuous approximations of the solution. The growth terms are re-solved using a Discontinuous Galerkin approach, and the coagulation by a collocation approach. The method fits in the general framework recently proposed by the author. The discontinuous approximation allows better representations of distributions with sharp peaks. Numerical tests reveal that accurate solutions can be obtained with a very small number of size bins. An efficient software package AeroSolve which implements the proposed algorithms was developed.
Document Type: Research Article
Affiliations: Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA
Publication date: April 1, 2006