Geometry-aligned moving frames by removing spurious divergence in curvilinear mesh with geometric approximation error

12/15/2020

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by   Sehun Chun, et al.

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The vertices of curvilinear elements usually lie on the exact domain. However, the additional grid points introduced for the higher-order polynomial of numerical solution often are located slightly out of the domain to generate geometric approximation error. Considered the main cause of the conservational error, this error is relatively smaller than discretization error but large enough to significantly deteriorate a long time integration. This paper proposes a novel scheme with geometry-aligned moving frames and the removal of corresponding spurious divergence to reduce the conservational error caused by geometric approximation error.