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Artificial Compressibility 3-D Navier-Stokes Solver for Unsteady Incompressible Flows with Hybrid Grids

机译:具有混合网格的非定常不可压缩流的人工可压缩性3-D Navier-Stokes解算器

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AbstractAn unsteady incompressible numerical method for the solution of Navier-Stokes equations is presented. The finite volume solver adopts the method of artificial compressibility, using an implicit dual time stepping scheme for time accuracy. The 2D solver operates on general hybrid meshes containing triangles and quadrilaterals, while the 3D solver operates on hybrid meshes containing tetrahedra, pyramids, prisms and hexahedra. The developed algorithms for spatial discretization and time integration are mesh transparent. An upwind spatial discretization scheme is used for the convective terms and a central scheme for the diffusive terms. Efficient calculation of flow fluxes is implemented in an edge-wise fashion. A new combined method for efficient and accurate evaluation of variable gradients is achieved by using an averaging technique and by avoiding multiple spatial integration of the same element of the mesh. The results obtained agree well with numerical solutions obtained by other researchers.
机译:摘要提出了求解Navier-Stokes方程的非定常不可压缩数值方法。有限体积求解器采用人工可压缩性方法,并使用隐式双重时间步进方案以提高时间精度。 2D求解器在包含三角形和四边形的普通混合网格上运行,而3D求解器在包含四面体,金字塔,棱柱和六面体的混合网格上运行。用于空间离散化和时间积分的已开发算法是网格透明的。对流项使用迎风空间离散方案,扩散项使用中心方案。流量的有效计算以边沿方式进行。通过使用平均技术并避免对网格的同一元素进行多次空间集成,可以实现一种新的有效且准确地评估可变梯度的组合方法。获得的结果与其他研究人员获得的数值解非常吻合。

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