A reconstructed discontinuous Galerkin method for compressible flows on moving curved grids

作     者：Chuanjin Wang and Hong Luo 

作者机构：Department of Mechanical and Aerospace EngineeringNorth Carolina State UniversityRaleigh 27695NCUSA 

出 版 物：《Advances in Aerodynamics》 (空气动力学进展（英文）)

年 卷 期：2021年第3卷第1期

页      面：1-28页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the North Carolina State University 

主　　题：Arbitrary Lagrangian-Eulerian Reconstructed discontinuous Galerkin High-order ESDIRK3 Radial basis function Navier-Stokes 

摘      要：A high-order accurate reconstructed discontinuous Galerkin(rDG)method is developed for compressible inviscid and viscous flows in arbitrary Lagrangian-Eulerian(ALE)formulation on moving and deforming unstructured curved *** basis functions in the rDG method are defined on the time-dependent domain,where the integration and computations are *** Geometric Conservation Law(GCL)is satisfied by modifying the grid velocity terms on the right-hand side of the discretized equations at Gauss quadrature points.A radial basis function(RBF)interpolation method is used for propagating the mesh motion of the boundary nodes to the interior of the mesh.A third order Explicit first stage,Single Diagonal coefficient,diagonally Implicit Runge-Kutta scheme(ESDIRK3)is employed for the temporal integration.A number of benchmark test cases are conducted to assess the accuracy and robustness of the rDG-ALE method for moving and deforming boundary *** numerical experiments indicate that the developed rDG method can attain the designed spatial and temporal orders of accuracy,and the RBF method is effective and robust to avoid excessive distortion and invalid elements near moving boundaries.