Nikolajus Kozulinas, Grigory Panasenko, Konstantinas Pileckas, Vytenis Šumskas
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Abstract
The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff type junction conditions in the vertices. Non-Newtonian rheology of the flow generates nonlinear equations on the graph. A new numerical method for second order nonlinear differential equations on the graph is introduced and numerically tested.
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