Symmetric-conservative metric evaluations for higher-order finite difference scheme with the GCL identities on three-dimensional moving and deforming mesh
Symmetric-conservative metric evaluations for higher-order finite difference scheme with the GCL identities on three-dimensional moving and deforming mesh
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发表时间：
2012
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通讯作者：
Yoshiaki Abe;N. Iizuka;T. Nonomura;K. Fujii
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作者：
Yoshiaki Abe;N. Iizuka;T. Nonomura;K. Fujii
New conservative forms are introduced for time metrics and the Jacobian, which satisfy the geometric conservation law (:GCL) identity even when higher-order spatial discretization is employed for the moving and deforming meshes. The conservative quantities are ensured to keep constant for three-dimensional moving and deforming meshes with use of these new forms for the computation of the uniform flow. In addition, one of the new forms has spatial symmetry property, and some tests indicate the significance of the spatial symmetry in the expression of time metrics and the Jacobian.
