Cell-centered quasi-one-dimensional reconstruction scheme on 3D hybrid meshes
- 19 Downloads
This paper presents a cell-centered conservative scheme based on a quasi-one-dimensional (1D) reconstruction of variables for the solution of a system of hyperbolic equations on 3D unstructured meshes. Only the case of smooth solutions is considered. Test examples are used to demonstrate that the accuracy and computational costs of the studied scheme are about the same as of the vertexcentered EBR scheme and the preferability of the vertex-centered or cell-centered scheme is determined by the prevalent types of elements in the computational mesh.
Keywordshighly accurate schemes unstructured meshes
Unable to display preview. Download preview PDF.
- 1.T. J. Barth and P. O. Frederickson, “High order solution of the euler equations on unstructured grids using quadratic reconstruction,” AIAA Paper, No. 90-0013 (1990).Google Scholar
- 8.M. E. Ladonkina, O. A. Neklyudova, and V. F. Tishkin, “Limiter of increased accuracy order for discontinuous Galerkin method on triangular grids,” KIAM Preprint No. 53 (Keldysh Inst. Appl. Math., Moscow, 2013).Google Scholar
- 13.P. A. Bakhvalov and T. K. Kozubskaya, “Efficient formulation for schemes with quasi one-dimensional reconstruction of variables,” KIAM Preprint No. 89 (Keldysh Inst. Appl. Math., Moscow, 2013).Google Scholar
- 14.N. Gourvitch, G. Rogé, I. Abalakin, A. Dervieux, and T. Kozubskaya, “A tetrahedral-based superconvergent scheme for aeroacoustics,” INRIA Report No. 5212 (2004).Google Scholar
- 15.C.-W. Shu, “Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservations laws,” ICASE Report No. 97-65 (1997).Google Scholar