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Solving the Transport-Coagulation Problem in a Two-Dimensional Spatial Region

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The article presents a numerical scheme for solving the spatially nonhomogeneous coagulation problem. The problem is solved in a two-dimensional spatial region using unstructured grids. The finite-volume method is used… Click to show full abstract

The article presents a numerical scheme for solving the spatially nonhomogeneous coagulation problem. The problem is solved in a two-dimensional spatial region using unstructured grids. The finite-volume method is used with monotonicity-preserving limiters. The coagulation kernel in the Smoluchowski collision integrals is approximated by a low-rank decomposition, which reduces the machine time requirement. Reflection is reduced by introducing a perfectly matched layer on the spatial boundary.

Keywords: coagulation; two dimensional; coagulation problem; spatial region; dimensional spatial; problem

Journal Title: Computational Mathematics and Modeling
Year Published: 2020

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