A Discontinuous Galerkin FEM for 2D Navier-Stokes Equations of Incompressible Viscous Fluids

CHEN Yafei; ZHENG Yunying

doi:10.21656/1000-0887.400379

Volume 41 Issue 8

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CHEN Yafei, ZHENG Yunying. A Discontinuous Galerkin FEM for 2D Navier-Stokes Equations of Incompressible Viscous Fluids[J]. Applied Mathematics and Mechanics, 2020, 41(8): 844-852. doi: 10.21656/1000-0887.400379

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A Discontinuous Galerkin FEM for 2D Navier-Stokes Equations of Incompressible Viscous Fluids

doi: 10.21656/1000-0887.400379

School of Mathematical Science, Huaibei Normal University,Huaibei, Anhui 235000, P.R.China

Received Date: 2019-12-24
Rev Recd Date: 2020-06-29
Publish Date: 2020-08-01

Abstract

Abstract

The incompressible Navier-Stokes equations are composed of the conservation law and the diffusion and constrained development equations. To test the numerical method, based on the unstructured grid, a discontinuous Galerkin scheme was established. The numerical results of the eddy current problem for different viscosity coefficients υ were discussed. The simulation results show that, the method has high precision and can solve the incompressible viscous fluid problem with moving interface, which makes the simulation boundary layer, the shear layer and the complex vortex solution be very effective, and the shock structure can be successfully extended to the numerical simulation of complex phenomena.
- Navier-Stokes equation,
- discontinuous Galerkin finite element method,
- viscous flow

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References

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