A fluid-structure interaction model with weak slip velocity boundary conditions on conforming internal interfaces

• We develop a PUFEM–Partition of Unity Finite Element Method to impose slip velocity boundary conditions on conforming internal interfaces for a fluid-structure interaction model. The method facilitates a straightforward implementation on the FEniCS/FEniCS-HPC platform. We show two results for 2D model problems with the implementation on FEniCS: (1) optimal convergence rate is shown for a stationary Navier-Stokes flow problem, and (2) the slip velocity conditions give qualitatively the correct result for the Euler flow. 

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

fluid-structure interaction

slip boundary conditions

conforming meshes

internal interfaces

Tillämpad matematik och beräkningsmatematik

Applied and Computational Mathematics

Computer Science

Datalogi

Publikations- och innehållstyp

pop (ämneskategori)

kon (ämneskategori)