A Higher-Order Space-Time Finite-Element Method for Moving-Body and Fluid-Structure Interaction Problems

Diosady, L ; Murman, S ; Carton de Wiart, C

关键词: SPACE-TIME FUNCTIONS;    RELATIVISTIC EFFECTS;    EQUATIONS OF MOTION;    CONTINUITY EQUATION;    DISCRETIZATION (MATHEMATICS);    DIRECT NUMERICAL SIMULATION;    ELASTIC PROPERTIES;    GALERKIN METHOD;    FINITE ELEMENT METHOD;    PARACHUTES;    COMPRESSIBLE FLUIDS;    COMPRESSIBLE FLOW;    COMPUTATIONAL FLUID DYNAMICS;   

RP-ID  :  ICCFD10-2018-0310,ARC-E-DAA-TN58275

学科分类：力学，机械学

美国|英语

来源: NASA Technical Reports Server

【 摘 要 】

We present a high-order finite-element method for moving body and fluid/structure interaction problems. Our solution strategy is based on a space-time discontinuous Galerkin (DG) spectral-element discretization which extends to arbitrary order of accuracy. The space-time DG discretization is a natural choice for moving body and fluid-structure interaction problems as moving surfaces are incorporated simply by considering curved space-time elements whose space-time faces align with the moving body. We present a discontinuous-Galerkin in time discretization for six-degree of motion modeling of rigid bodies, and a continuous-Galerkin discretization for equations of linear elasticity to generate curved space-time meshes. Numerical results for several simple 2D test cases are presented in order to verify the implementation of the different models. Finally we present a preliminary dynamic simulation of a parachute.