$$H$$ -adaptive Mesh Method with Double Tolerance Adaptive Strategy for Hyperbolic Conservation Laws

2013 ◽  
Vol 56 (3) ◽  
pp. 616-636 ◽  
Author(s):  
Ruo Li ◽  
Shuonan Wu
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Adaptive Mesh ◽  
Adaptive Strategy ◽  
Hyperbolic Conservation ◽  
Adaptive Mesh Method ◽  
Mesh Method

An adaptive mesh method for 1D hyperbolic conservation laws

2015 ◽  
Vol 91 ◽  
pp. 11-25 ◽  
Author(s):  
Fuxing Hu ◽  
Rong Wang ◽  
Xueyong Chen ◽  
Hui Feng
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Adaptive Mesh ◽  
Hyperbolic Conservation ◽  
Adaptive Mesh Method ◽  
Mesh Method

scholarly journals A Moving Mesh Method for One-dimensional Hyperbolic Conservation Laws

2001 ◽  
Vol 22 (5) ◽  
pp. 1791-1813 ◽  
Author(s):  
John M. Stockie ◽  
John A. Mackenzie ◽  
Robert D. Russell
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Moving Mesh ◽  
Moving Mesh Method ◽  
One Dimensional ◽  
Hyperbolic Conservation ◽  
Mesh Method

ENTROPY CONSERVATIVE SCHEMES AND ADAPTIVE MESH SELECTION FOR HYPERBOLIC CONSERVATION LAWS

2010 ◽  
Vol 07 (03) ◽  
pp. 383-404 ◽  
Author(s):  
CHRISTOS ARVANITIS ◽  
CHARALAMBOS MAKRIDAKIS ◽  
NIKOLAOS I. SFAKIANAKIS
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Adaptive Mesh ◽  
Mesh Adaptivity ◽  
Hyperbolic Conservation ◽  
Fully Discrete ◽  
Conservative Schemes ◽  
Mesh Selection ◽  
Adaptive Schemes ◽  
Selection For

We consider numerical schemes which combine non-uniform, adaptively redefined spatial meshes with entropy conservative schemes for the evolution step for shock computations. We observe that the resulting adaptive schemes yield approximations free of oscillations in contrast to known fully discrete entropy conservative schemes on uniform meshes. We conclude that entropy conservative schemes are transformed to entropy diminishing schemes when combined with the proposed geometrically driven mesh adaptivity.

Three-Dimensional Adaptive Mesh Refinement for Hyperbolic Conservation Laws

1994 ◽  
Vol 15 (1) ◽  
pp. 127-138 ◽  
Author(s):  
John Bell ◽  
Marsha Berger ◽  
Jeff Saltzman ◽  
Mike Welcome
Keyword(s):  
Conservation Laws ◽  
Adaptive Mesh Refinement ◽  
Hyperbolic Conservation Laws ◽  
Mesh Refinement ◽  
Three Dimensional ◽  
Adaptive Mesh ◽  
Hyperbolic Conservation
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