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第四届海峡两岸计算流体力学学术研讨会

作者： Dartzi Pan Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan

＜正＞ An implicit pressure correction method on unstructured Cartesian grid is developed for the incompressible Navier-Stokes equations. The Poisson equation for pressure is solved by a multi-grid method. A fourth order artificial dissipation is added to the pressure field to suppress the even-odd decoupling incurred by the central differencing of the divergence field. Tests show that the method is second order accurate for the velocity field. The accuracy of the pressure field depends on the added artificial dissipation.

关键词： pressure correction method Incompressible Navier-Stokes Equations.

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An Iterative Stabilized Scheme for Unsteady Incompressible Viscous Flow

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Journal of Shanghai Jiaotong university(Science) 2009年第4期14卷 404-409页

作者：包艳周岱李华峰 School of Naval Architecture Ocean and Civil Engineering Shanghai Jiaotong University

An efficient iterative algorithm is presented for the numerical solution of viscous incompressible Navier-Stokes equations based on Taylor-Galerkin like split and pressure correction method in this paper. Taylor-Hood element is introduced to overcome the numerical difficulties arising from the fluid incompressibility. In order to confirm the properties of the algorithm, the numerical simulation on plane Poisseuille flow problem and lid- driven cavity flow problem with different Reynolds numbers is presented. The numerical results indicate that the proposed iterative version can be effectively applied to the simulation of viscous incompressible flows. Moreover, the proposed iterative version has a better overall performance in maximum time step size allowed, under comparable convergence rate, stability and accuracy, than other tested versions in numerical solutions of the plane PoisseuiUe flow with different Reynolds numbers ranging from low to high viscosities.

关键词： Taylor-Galerkin scheme viscous incompressible flow pressure correction method iterative algorithm Reynolds number

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发展压力修正法计算流体与颗粒交互作用问题(英文)

发展压力修正法计算流体与颗粒交互作用问题(英文)

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2009年度海峡两岸工程力学研讨会

作者：林三益陳翼正国立成功大学航空太空系

A direct-forcing pressure correction method is developed to simulate fluid-particle interaction *** method applies an implicit pressure correction method to solve the incompressible flow field and the immersed boundary method which applies a direct forcing method to capture the particle *** applying the direct forcing method,the pressure correction method can eliminate the needs for the determination of free parameters,such as the stiffness coefficient in the elastic forcing method,and for the approximation of the delta *** direct forcing method can be seen as a splitting projection operator which directly projects the fluid velocity obtained from the pressure correction method to capture the particle *** direct forcing method directly computes the artificial forcing at flow elements which eliminates the transformation between flow element and particle *** makes the new method simpler and more *** sedimentations of one and two sphere particles are simulated to validate the numerical *** a demonstration of the efficient and capabilities of the new method,sedimentation of a large number of sphere particles in an enclosure is simulated.

关键词： immersed boundary method pressure correction method fluid-particle interaction direct forcing splitting projection operator sedimentation

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