High-Order Spectral Difference Method for the Navier-Stokes Equation on Unstructured Moving Deformable Grid

2010 ◽  
Author(s):  
Kui Ou ◽  
Chunlei Liang ◽  
Antony Jameson
Keyword(s):  
Stokes Equation ◽  
Difference Method ◽  
High Order ◽  
Navier Stokes ◽  
Spectral Difference ◽  
Navier Stokes Equation ◽  
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.

Implicit Spectral Difference Method Solutions of Compressible Flows Considering High-Order Meshes

2016 ◽  
Author(s):  
Fabio M. Moreira ◽  
Eduardo Jourdan ◽  
Carlos Breviglieri ◽  
Andre R. Aguiar ◽  
Joao Luiz F. Azevedo
Keyword(s):  
Difference Method ◽  
Compressible Flows ◽  
High Order ◽  
Spectral Difference ◽  
Spectral Difference Method

A 2 D parallel high-order sliding and deforming spectral difference method

2016 ◽  
Vol 139 ◽  
pp. 184-196 ◽  
Author(s):  
Bin Zhang ◽  
Chunlei Liang ◽  
Jingjing Yang ◽  
Yongwu Rong
Keyword(s):  
Difference Method ◽  
High Order ◽  
Spectral Difference ◽  
Spectral Difference Method

VALIDATION AND APPLICATION OF AN HIGH-ORDER SPECTRAL DIFFERENCE METHOD FOR FLOW INDUCED NOISE SIMULATION

2011 ◽  
Vol 19 (03) ◽  
pp. 241-268 ◽  
Author(s):  
MATTEO PARSANI ◽  
GHADER GHORBANIASL ◽  
CHRIS LACOR
Keyword(s):  
Laminar Flow ◽  
Flow Field ◽  
Turbulent Flow ◽  
Difference Method ◽  
Hybrid Approach ◽  
High Order ◽  
Test Cases ◽  
Far Field ◽  
Spectral Difference ◽  
Spectral Difference Method

The main goal of this paper is to develop an efficient numerical algorithm to compute the radiated far field noise provided by an unsteady flow field from bodies in arbitrary motion. The method computes a turbulent flow field in the near fields using a high-order spectral difference method coupled with large-eddy simulation approach. The unsteady equations are solved by advancing in time using a second-order backward difference formulae scheme. The nonlinear algebraic system arising from the time discretization is solved with the nonlinear lower–upper symmetric Gauss–Seidel algorithm. In the second step, the method calculates the far field sound pressure based on the acoustic source information provided by the first step simulation. The method is based on the Ffowcs Williams–Hawkings approach, which provides noise contributions for monopole, dipole and quadrupole acoustic sources. This paper will focus on the validation and assessment of this hybrid approach using different test cases. The test cases used are: a laminar flow over a two-dimensional (2D) open cavity at Re = 1.5 × 103 and M = 0.15 and a laminar flow past a 2D square cylinder at Re = 200 and M = 0.5. In order to show the application of the numerical method in industrial cases and to assess its capability for sound field simulation, a three-dimensional turbulent flow in a muffler at Re = 4.665 × 104 and M = 0.05 has been chosen as a third test case. The flow results show good agreement with numerical and experimental reference solutions. Comparison of the computed noise results with those of reference solutions also shows that the numerical approach predicts noise accurately.

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