A high-order discontinuous Galerkin method for fluid–structure interaction with efficient implicit–explicit time stepping

Journal Article · Mon Sep 01 04:00:00 EDT 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2014.03.034· OSTI ID:22314899

Froehle, Bradley; Persson, Per-Olof

We present a high-order accurate scheme for coupled fluid–structure interaction problems. The fluid is discretized using a discontinuous Galerkin method on unstructured tetrahedral meshes, and the structure uses a high-order volumetric continuous Galerkin finite element method. Standard radial basis functions are used for the mesh deformation. The time integration is performed using a partitioned approach based on implicit–explicit Runge–Kutta methods. The resulting scheme fully decouples the implicit solution procedures for the fluid and the solid parts, which we perform using two separate efficient parallel solvers. We demonstrate up to fifth order accuracy in time on a non-trivial test problem, on which we also show that additional subiterations are not required. We solve a benchmark problem of a cantilever beam in a shedding flow, and show good agreement with other results in the literature. Finally, we solve for the flow around a thin membrane at a high angle of attack in both 2D and 3D, and compare with the results obtained with a rigid plate.

• OSTI ID: 22314899
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 272; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BENCHMARKS
COMPARATIVE EVALUATIONS
DEFORMATION
FINITE ELEMENT METHOD
FLUID FLOW
FLUID-STRUCTURE INTERACTIONS
MATHEMATICAL SOLUTIONS
MEMBRANES
PLATES
RUNGE-KUTTA METHOD
SOLIDS