Application of Lattice Boltzmann Method to sensitivity analysis via complex differentiation |
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Authors: | E. Vergnault P. Sagaut |
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Affiliation: | Institut Jean Le Rond d’Alembert, UMR 7190, Université Pierre et Marie Curie – Paris 6, 4, place Jussieu, case 162, F-75252 Paris cedex 5, France |
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Abstract: | Sensitivity analysis of flows computed by Lattice Boltzmann Method via Complex Differentiation is proposed. The theoretical work is illustrated and the proposed method assessed considering the D2Q9 scheme, along with the differentiation of the Lattice Boltzmann Equation. Boundary condition implementation is also detailed. Some examples illustrate the capability of the proposed method. |
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Keywords: | Lattice Boltzmann Equation Complex differentiation Sensitivity analysis |
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