scholarly journals A new high-order spectral difference method for simulating viscous flows on unstructured grids with mixed-element meshes

2019 ◽  
Vol 184 ◽  
pp. 187-198
Author(s):  
Mao Li ◽  
Zihua Qiu ◽  
Chunlei Liang ◽  
Michael Sprague ◽  
Min Xu ◽  
...  
Author(s):  
Zihua Qiu ◽  
Min Xu ◽  
Bin Zhang ◽  
Chunlei Liang

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.


Author(s):  
Fabio M. Moreira ◽  
Eduardo Jourdan ◽  
Carlos Breviglieri ◽  
Andre R. Aguiar ◽  
Joao Luiz F. Azevedo

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