Chinese Journal of Theoretical and Applied Mechani ›› 2013, Vol. 45 ›› Issue (6): 987-991.DOI: 10.6052/0459-1879-13-151

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HIGH-ORDER DISCONTINUOUS GALERKIN SOLUTION OF N-S EQUATIONS ON HYBRID MESH

Qin Wanglong, Lü Hongqiang, Wu Yizhao   

  1. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2013-09-13 Revised:2013-10-09 Online:2013-11-23 Published:2013-11-25
  • Supported by:

    The project was supported by the National Natural Science Foundation of China (11272152) and the Aeronautical Science Foundation of China (20101552018).

Abstract:

A high-order discontinuous Galerkin method (DGM) based on hybrid mesh was developed to solve the laminar NS equations. Details on high order approximation of the real solid boundary were given. Newton method was used to solve the resulting nonlinear system after the DG discretization. In each Newton loop, preconditioned GMRES method was adopted to solve the large sparse linear systems. Numerical results indicate that the developed DG method on hybrid mesh is a promising way to solve viscous flow cases.

Key words:

hybrid mesh|high order discontinuous Galerkin method|high order approximation|laminar flow

CLC Number: