Abstract
A multigrid approach is proposed in this work for the simulations of surfactant spreading on a thin liquid film. The model equations for the descriptions of the surfactant dynamics are the coupled nonlinear partial differential equations in radial coordinate. The finite volume method on a uniform grid is used for the discretization of the governing equations in which the fluxes are discretized implicitly. The discretized system is solved using the nonlinear multigrid method such as the full approximation scheme. The obtained simulation results are discussed and validated with existing results.
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Panda, S., Grm, A. (2020). Multigrid Methods for the Simulations of Surfactant Spreading on a Thin Liquid Film. In: Manchanda, P., Lozi, R., Siddiqi, A. (eds) Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-0928-5_13
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DOI: https://doi.org/10.1007/978-981-15-0928-5_13
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