High - Order Discontinuous Galerkin Fluid - Structure Interaction Methods

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

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 partition...

A High-Order Implicit-Explicit Fluid-Structure Interaction Method for Flapping Flight

We present a high-order accurate scheme for fluid-structure interaction (FSI) simulations of flapping flight. The compressible Navier-Stokes equations are discretized using a discontinuous Galerkin arbitrary Lagrangian-Eulerian (DG-ALE) method on an unstructured tetrahedral mesh, and a wing-like structure, represented as a neo-Hookean material, is discretized using standard continuous Galerkin ...

Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow: Part I

High-Order Discontinuous Galerkin Methods for CFD

In recent years it has become clear that the current computational methods for scientific and engineering phenomena are inadequate for many challenging problems. Examples of these problems are wave propagation, turbulent fluid flow, as well as problems involving nonlinear interactions and multiple scales. This has resulted in a significant interest in so-called high-order accurate methods, whic...

Final Report of NASA Langley Grant NCC1-01035 Relaxation and Preconditioning for High Order Discontinuous Galerkin Methods with Applications to Aeroacoustics and High Speed Flows

methods are two classes of high order, high resolution methods suitable for convection dominated simulations with possible discontinuous or sharp gradient solutions. In [18], we first review these two classes of methods, pointing out their similarities and differences in algorithm formulation, theoretical properties, implementation issues, applicability, and relative advantages. We then present...