May 22 – 25, 2023
Europe/London timezone

A Lagrange multiplier method for the fully dynamic Navier-Stokes - Biot system

May 25, 2023, 9:45 AM
Oral Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes MS07


Ivan Yotov (University of Pittsburgh)


We develop a mixed finite element computational model for the interaction between a free fluid and a poroelastic medium . The free fluid flow is governed by the time-dependent incompressible Navier-Stokes equations, while the poroelastic region is governed by the Biot system. A Lagrange multiplier method is employed to impose weakly the continuity of flux. Under a small data condition, existence, uniqueness, and stability of the semi-discrete continuous-in-time and fully discrete formulations are proved. We further establish error estimates for the fully discrete method. A series of numerical experiments are presented to verify the theoretical convergence rates and illustrate the applicability of the method to modeling arterial blood flows.

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Country USA
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Primary authors

Ivan Yotov (University of Pittsburgh) Dr Xing Wang (Penn State University)

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