한국전산유체공학회지 (Journal of computational fluids engineering)

한국전산유체공학회 (Korean Society of Computational Fluids Engineering)
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압축성 Navier-Stokes 방정식 해를 위한 고차 정확도 내재적 불연속 갤러킨 기법의 개발

DEVELOPMENT OF A HIGH-ORDER IMPLICIT DISCONTINUOUS GALERKIN METHOD FOR SOLVING COMPRESSIBLE NAVIER-STOKES EQUATIONS

  • 최재훈 (한국과학기술원 대학원 항공우주공학과) ;
  • 이희동 (한국과학기술원 대학원 항공우주공학과) ;
  • 권오준 (한국과학기술원 항공우주공학과)
  • 투고 : 2011.04.12
  • 심사 : 2011.12.21
  • 발행 : 2011.12.31
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초록

A high-order discontinuous Galerkin method for the two-dimensional compressible Navier-Stokes equations was developed on unstructured triangular meshes. For this purpose, the BR2 methd(the second Bassi and Rebay discretization) was adopted for space discretization and an implicit Euler backward method was used for time integration. Numerical tests were conducted to estimate the convergence order of the numerical solutions of the Poiseuille flow for which analytic solutions are available for comparison. Also, the flows around a flat plate, a 2-D circular cylinder, and an NACA0012 airfoil were numerically simulated. The numerical results showed that the present implicit discontinuous Galerkin method is an efficient method to obtain very accurate numerical solutions of the compressible Navier-Stokes equations on unstructured meshes.

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참고문헌

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피인용 문헌

  1. Implicit discontinuous Galerkin scheme for shallow water equations vol.33, pp.7, 2011, https://doi.org/10.1007/s12206-019-0625-2