A Lagrangian gradient smoothing method for solid-flow problems using simplicial mesh

2017 ◽  
Vol 113 (5) ◽  
pp. 858-890 ◽  
Author(s):  
Zirui Mao ◽  
G. R. Liu
Keyword(s):  
Smoothing Method ◽  
Solid Flow ◽  
Flow Problems ◽  
Simplicial Mesh ◽  
Gradient Smoothing

A Novel Alpha Gradient Smoothing Method (αGSM) for Fluid Problems

2012 ◽  
Vol 61 (3) ◽  
pp. 204-228 ◽  
Author(s):  
Eric Li ◽  
Vincent Tan ◽  
George X. Xu ◽  
G. R. Liu ◽  
Z. C. He
Keyword(s):  
Smoothing Method ◽  
Gradient Smoothing

A local gradient smoothing method for solving strong form governing equation

2020 ◽  
Vol 84 ◽  
pp. 104073
Author(s):  
Songhun Kwak ◽  
Kwanghun Kim ◽  
Kwangnam Choe ◽  
Kumchol Yun
Keyword(s):  
Governing Equation ◽  
Smoothing Method ◽  
Strong Form ◽  
Gradient Smoothing ◽  
Local Gradient

A New TVD Scheme for Gradient Smoothing Method Using Unstructured Grids

2019 ◽  
Vol 17 (03) ◽  
pp. 1850132 ◽  
Author(s):  
Guiyong Zhang ◽  
Da Hui ◽  
Da Li ◽  
Li Zou ◽  
Shengchao Jiang ◽  
...  
Keyword(s):  
Unstructured Meshes ◽  
Smoothing Method ◽  
Tvd Scheme ◽  
Hyperbolic Partial Differential Equation ◽  
Variation Diminishing ◽  
Structured Meshes ◽  
Gradient Smoothing ◽  
Discontinuous Problems ◽  
Flux Limiters ◽  
Present Algorithm

An improved [Formula: see text]-factor algorithm for implementing total variation diminishing (TVD) scheme has been proposed for the gradient smoothing method (GSM) using unstructured meshes. Different from the methods using structured meshes, for the methods using unstructured meshes, generally the upwind point cannot be clearly defined. In the present algorithm, the value of upwind point has been successfully approximated for unstructured meshes by using the GSM with different gradient smoothing schemes, including node GSM (nGSM) midpoint GSM (mGSM) and centroid GSM (cGSM). The present method has been used to solve hyperbolic partial differential equation discontinuous problems, where three classical flux limiters (Superbee, Van leer and Minmod) were used. Numerical results indicate that the proposed algorithm based on mGSM and cGSM schemes can avoid the numerical oscillation and reduce the numerical diffusion effectively. Generally the scheme based on cGSM leads to the best performance among the three proposed schemes in terms of accuracy and monotonicity.

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