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

• Autores: Edouard Debry, Bruno Sportisse
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 8, 2007, págs. 885-898
• Idioma: inglés
• DOI: 10.1016/j.apnum.2006.08.002
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• Resumen

  • 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.