A p-Multigrid Spectral Difference method with explicit and implicit smoothers on unstructured grids

2007 ◽  
Author(s):  
Chunlei Liang ◽  
Ravi Kannan ◽  
Z. J. Wang
Keyword(s):  
Difference Method ◽  
Unstructured Grids ◽  
Spectral Difference ◽  
Spectral Difference Method

scholarly journals High-Order Spectral Difference Method on 3D Unstructured Grids via Mixed Elements

2019 ◽  
Vol 37 (5) ◽  
pp. 968-976
Author(s):  
Zihua Qiu ◽  
Min Xu ◽  
Bin Zhang ◽  
Chunlei Liang
Keyword(s):  
Difference Method ◽  
Compressible Flows ◽  
Unstructured Grids ◽  
Viscous Flows ◽  
High Order ◽  
Spectral Difference ◽  
Spectral Difference Method ◽  
Hexahedral Elements ◽  
Tetrahedral Grid ◽  
Viscous Compressible Flows

The high-order methods is difficultly applied in various elements. The development of a 3D solver by using the spectral difference method of unstructured grids via mixed elements is presented. A mixed tri-prism and tetrahedral grid is firstly refined using one-level h-refinement to generate a hexahedral grid while keeping the curvature of wall boundaries. The SD method designed for hexahedral elements can subsequently be applied for refining the unstructured grid. Through a series of numerical tests, the present method is high-order accurate for both inviscid and viscous flows is demonstrated; the results obtained for inviscid and viscous compressible flows compare well with other published results.

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