engleski

Modeling 3D–1D Junction via Very-Weak Formulation

We study the potential flow of an ideal fluid through a domain that consists of a reservoir and a pipe connected to it. The ratio of the pipe’s thickness and its length is considered as a small parameter. Using the rigorous asymptotic analysis with respect to that small parameter, we derive an effective model governing the the junction between a 1D and a 3D fluid domain. The obtained boundary-value problem has a measure boundary condition with Dirac mass concentrated in the junction point and is understood in the very-weak sense.

asymptotic analysis ; very-weak solution ; laplace equation ; mathematical modeling ; potential fluid flow

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