Unstructured grid methods for compressible flows

Unstructured grid methods for compressible flows
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可压缩流的非结构化网格方法

DOI:
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发表时间:
1992
期刊:
影响因子:
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通讯作者:
J. Peiró
J. Peiró
中科院分区:
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文献类型:
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作者:
K. Morgan;J. Peraire;J. Peiró

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描述了有限元法在非结构三角形网格上的实现,讨论了一般三角形和四面体网格上可压缩欧拉方程的中心有限元格式的发展。考虑了显式和隐式Lax-Wendroff型方法以及基于使用显式多步时间步进的方法。在后一种情况下,该方法的收敛行为通过纳入完全非结构化的多网格过程而加速。介绍了生成三角形和四面体非结构化网格的先进前沿方法,并举例说明了自适应网格技术在稳态和瞬态流分析中的应用。
The implementation of the finite element method on unstructured triangular grids is described and the development of centered finite element schemes for the solution of the compressible Euler equation on general triangular and tetrahedral grids is discussed. Explicit and implicit Lax-Wendroff type methods and a method based upon the use of explicit multistep timestepping are considered. In the latter case, the convergence behavior of the method is accelerated by the incorporation of a fully unstructured multigrid procedure. The advancing front method for generating unstructured grids of triangles and tetrahedra is described and the application of adaptive mesh techniques to both steady and transient flow analysis is illustrated.