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.
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Submitted on : Wednesday, October 19, 2011 - 12:54:14 PM
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Edouard Debry, Bruno Sportisse. Numerical simulation of the general dynamic equation (GDE) for aerosols with two collocation methods. Applied Numerical Mathematics, Elsevier, 2007, 57 (8), pp.885-898. ⟨10.1016/j.apnum.2006.08.002⟩. ⟨inria-00633766⟩

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