【摘 要】
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In this paper, the Crank-Nicholson + component-consistent pressure correctionmethod for the numerical solution of the unsteady incompressible Navier-Stokesequat
【机 构】
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Institute of Computational Mathematics and Scientific/Engineering Computing, ChineseAcademy of Scien
论文部分内容阅读
In this paper, the Crank-Nicholson + component-consistent pressure correctionmethod for the numerical solution of the unsteady incompressible Navier-Stokesequation of [1] on the rectangular half-staggered mesh has been extended to thecurvilinear half-staggered mesh. The discrete projection, both for the projectionstep in the solution procedure and for the related differential-algebraic equations,has been carefully studied and verified. It is proved that the proposed method isalso unconditionally (in△t) nonlinearly stable on the curvilinear mesh, providedthe mesh is not too skewed. It is seen that for problems with an outflow bound-ary, the half-staggered mesh is especially advantageous. Results of preliminarynumerical experiments support these claims.
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