A High Order Discontinuous Galerkin Method for Fluid-Structure Interaction
نویسندگان
چکیده
We describe a method for computing time-dependent solutions to the compressible Navier-Stokes equations coupled to a hyperelastic Neo-Hookean membrane model. The deforming domain is handled by introducing a continuous mapping between a fixed reference configuration and the time varying domain, and rewriting the Navier-Stokes equations as a conservation law for the independent variables in the reference configuration. The spatial discretization is carried out using the Discontinuous Galerkin method on unstructured meshes of triangles, and the membrane model is discretized with regular finite elements. The method uses an explicit smooth mapping for the entire domain which is differentiated to obtain accurate grid velocities and deformation gradients. This mapping is constructed by a combination of spline interpolation and high order blending functions. Various examples are shown to illustrate the methods, and elastic and rigid membranes are compared.
منابع مشابه
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...
متن کاملHigh - Order Discontinuous Galerkin Fluid - Structure Interaction Methods
High-Order Discontinuous Galerkin Fluid-Structure Interaction Methods by Bradley Michael Froehle Doctor of Philosophy in Mathematics University of California, Berkeley Professor Per-Olof Persson, Chair We present a high-order accurate scheme for fully coupled fluid-structure interaction problems. The fluid is discretized using a discontinuous Galerkin method on unstructured tetrahedral meshes, ...
متن کاملA 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 ...
متن کاملImplicit 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
متن کامل
Fluid-Structure Interaction of Vibrating Composite Piezoelectric Plates Using Exponential Shear Deformation Theory
In this article fluid-structure interaction of vibrating composite piezoelectric plates is investigated. Since the plate is assumed to be moderately thick, rotary inertia effects and transverse shear deformation effects are deliberated by applying exponential shear deformation theory. Fluid velocity potential is acquired using the Laplace equation, and fluid boundary conditions and wet dynamic ...
متن کاملInvestigation of Fluid-structure Interaction by Explicit Central Finite Difference Methods
Fluid-structure interaction (FSI) occurs when the dynamic water hammer forces; cause vibrations in the pipe wall. FSI in pipe systems due to Poisson and junction coupling has been the center of attention in recent years. It causes fluctuations in pressure heads and vibrations in the pipe wall. The governing equations of this phenomenon include a system of first order hyperbolic partial differen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007