Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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AN EFFICIENT ALGORITHM FOR INCOMPRESSIBLE FREE SURFACE FLOW ON CARTESIAN MESHES

직교격자상에서 효율적인 비압축성 자유표면유동 해법

  • Go, G.S. (School of Naval Architecture and Ocean Engineering, Ulsan Univ.) ;
  • Ahn, H.T. (School of Naval Architecture and Ocean Engineering, Ulsan Univ.)
  • 고광수 (울산대학교 조선해양공학부) ;
  • 안형택 (울산대학교 조선해양공학부)
  • Received : 2014.09.16
  • Accepted : 2014.12.12
  • Published : 2014.12.31
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Abstract

An efficient solution algorithm for simulating free surface problem is presented. Navier-Stokes equations for variable density incompressible flow are employed as the governing equation on Cartesian meshes. In order to describe the free surface motion efficiently, VOF(Volume Of Fluid) method utilizing THINC(Tangent of Hyperbola for Interface Capturing) scheme is employed. The most time-consuming part of the current free surface flow simulations is the solution step of the linear system, derived by the pressure Poisson equation. To solve a pressure Poisson equation efficiently, the PCG(Preconditioned Conjugate Gradient) method is utilized. This study showed that the proper application of the preconditioner is the key for the efficient solution of the free surface flow when its pressure Poisson equation is solved by the CG method. To demonstrate the efficiency of the current approach, we compared the convergence histories of different algorithms for solving the pressure Poisson equation.

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References

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