A High-Order Lifting Collocation Penalty Formulation for the Navier-Stokes Equations on 2-D Mixed Grids
A High-Order Lifting Collocation Penalty Formulation for the Navier-Stokes Equations on 2-D Mixed Grids
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DOI：
10.2514/6.2009-3784
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发表时间：
2009-06
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影响因子：
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通讯作者：
Haiyang Gao;Z. Wang
中科院分区：
文献类型：
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作者：
Haiyang Gao;Z. Wang
将新发展的守恒律提升配置罚（LCP）方法推广到二维混合网格上求解Navier-Stokes方程。LCP公式是通量重建（FR）方法的扩展。与FR方法一样，它可以将几种常用的高阶方法，包括间断Galerkin方法和谱体积方法统一为一种更有效的微分形式。对于粘性通量的离散，采用了两种紧凑的公式，包括Bassi和Rebay的第二种方法（BR 2）和Huynh（2009）最近提出的I-连续方法。几个测试用例进行了隐式LU-SGS计划，以证明LCP配方的能力。
The newly developed lifting collocation penalty (LCP) formulation for conservation laws is extended to solve the Navier-Stokes equations on 2D mixed meshes. The LCP formulation is an extension of the flux reconstruction (FR) method. Like the FR method, it can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a more efficient differential form. For the discretization of viscous fluxes, two compact formulations are employed, including the 2 nd approach of Bassi and Rebay (BR2) and the I-continuous approach recently introduced by Huynh (2009). Several test cases are conducted with the implicit LU-SGS scheme to demonstrate the capability of the LCP formulation.