Numerical simulation of the general dynamic equation (GDE) for aerosols with two collocation methods - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Applied Numerical Mathematics Year : 2007

Numerical simulation of the general dynamic equation (GDE) for aerosols with two collocation methods

Abstract

This paper presents two algorithms for solving the general dynamic equation for aerosols. Coagulation and condensation are solved simultaneously without using splitting. The first method is based on a collocation method for size discretization and a Rosenbrock solver for time integration. In the second method, time discretization is first performed. This leads to a Volterra equation of first kind, which is solved with cubic splines. Both methods are compared to a reference solution for constant coagulation and linear condensation.

Dates and versions

inria-00633766 , version 1 (19-10-2011)

Identifiers

Cite

Edouard Debry, Bruno Sportisse. Numerical simulation of the general dynamic equation (GDE) for aerosols with two collocation methods. Applied Numerical Mathematics, 2007, 57 (8), pp.885-898. ⟨10.1016/j.apnum.2006.08.002⟩. ⟨inria-00633766⟩
122 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More