Dynamic-mesh finite element method for Lagrangian computational fluid dynamics

Authors:
Ivan Malcevic;Omar Ghattas
Affiliations:
Department of Civil and Environmental Engineering, Carnegie Mellon University, 15217 Pittsburgh, PA;Department of Civil and Environmental Engineering, Carnegie Mellon University, 15217 Pittsburgh, PA
Venue:
Finite Elements in Analysis and Design - Robert J. Melosh medal competition
Year:
2002

Citing 3
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Abstract

We present a novel method for simulation of flows with dynamic interfaces based on a Lagrangian flow formulation and dynamic finite element meshes. Dynamic interfaces are naturally resolved through the material flow description, which eliminates the need for complex dynamic structures to track the moving boundaries. However, the resulting dynamic meshes propagate with the flow and quickly become distorted. We resolve the mesh distortions by regenerating the mesh at each time step. The components include a Lagrangian nodal movement, local refinement/coarsening and triangulation. We have created a highly efficient parallel implementation, and successfully applied it to large-scale simulations of flows with numerous cellular bodies. The method easily handles interface-dominated flows and promises highly successful applications to complex flows including the target problem of microstructural blood flow simulation.