AUTOMATIC RESOLUTION CONTROL FOR THE FINITE-VOLUME METHOD, PART 2: ADAPTIVE MESH REFINEMENT AND COARSENING

2000 ◽  
Vol 38 (3) ◽  
pp. 257-271 ◽  
Author(s):  
H. Jasak, A. D. Gosman
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Volume Method

scholarly journals A freestream-preserving fourth-order finite-volume method in mapped coordinates with adaptive-mesh refinement

2015 ◽  
Vol 123 ◽  
pp. 202-217 ◽  
Author(s):  
Stephen M. Guzik ◽  
Xinfeng Gao ◽  
Landon D. Owen ◽  
Peter McCorquodale ◽  
Phillip Colella
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Fourth Order ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Volume Method

scholarly journals An adaptive mesh refinement in the finite volume method

2015 ◽  
Author(s):  
E.V. Avdeev ◽  
◽  
V.A. Fursov ◽  
V.A. Ovchinnikov ◽  
◽  
...  
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Adaptive Mesh Refinement ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Volume Method

scholarly journals Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Sudi Mungkasi
Keyword(s):  
Shallow Water ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Shallow Water Equations ◽  
Adaptive Mesh Refinement ◽  
Adaptive Mesh ◽  
Error Indicator ◽  
Triangular Grids ◽  
Volume Method ◽  
Numerical Entropy

This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptive mesh refinement or coarsening in solving the shallow water equations using a finite volume method. Numerical simulations show that NEP is successful to be a refinement/coarsening indicator in the adaptive mesh finite volume method, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions.

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