Freestream preservation on a high-order conservative Fr scheme
Freestream preservation on a high-order conservative Fr scheme
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发表时间：
2014-07
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通讯作者：
Yoshiaki Abe;T. Haga;T. Nonomura;K. Fujii
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作者：
Yoshiaki Abe;T. Haga;T. Nonomura;K. Fujii
给出了在三维平稳曲线网格上的高阶保守通量重建格式中既满足自由流守恒性又满足全局守恒性的对称保守度量的构造方法。进行了自由流保存试验，通过适当的程序构造的对称保守度量无论形状函数的顺序如何都能保持自由流，而其他度量不能总是保持自由流。在三维波浪网格上计算了一个对流涡旋，当对称保守度量构造适当时，得到了精度的形式顺序，而当对称保守度量构造不适当时，则得不到精度的形式顺序。
The appropriate procedure for constructing symmetric conservative metrics is presented with which both of the freestream preservation and global conservation properties are satisfied in the high-order conservative flux-reconstruction scheme on a threedimensional stationary-curvilinear grid. A freestream preservation test is conducted, and the symmetric conservative metrics constructed by the appropriate procedure preserve the freestream with regardless of the order of shape functions, while other metrics cannot always preserve the freestream. Also a convecting vortex is computed on three-dimensional wavy grids, and the formal order of accuracy is achieved when the symmetric conservative metrics are appropriately constructed, while it is not when they are inappropriately constructed.