Title
Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR)
Abstract
This work presents an extension of a second order cell-centered hydrodynamics scheme on unstructured polyhedral cells 13 toward higher order. The goal is to reduce dissipation, especially for smooth flows. This is accomplished by multiple piecewise linear reconstructions of conserved quantities within the cell. The reconstruction is based upon gradients that are calculated at the nodes, a procedure that avoids the least-square solution of a large equation set for polynomial coefficients. Conservation and monotonicity are guaranteed by adjusting the gradients within each cell corner. Results are presented for a wide variety of test problems involving smooth and shock-dominated flows, fluids and solids, 2D and 3D configurations, as well as Lagrange, Eulerian, and ALE methods.
Year
DOI
Venue
2015
10.1016/j.jcp.2015.06.041
Journal of Computational Physics
Keywords
Field
DocType
Lagrangian,Hydrodynamics,Godunov,Cell-centered,Finite-volume,Reconstruction,Higher-order,Dissipation,CCH,Corner gradient reconstruction,CGR
Monotonic function,Mathematical optimization,Lagrangian,Mathematical analysis,Dissipation,Eulerian path,Polynomial coefficients,Conserved quantity,Piecewise linear function,Finite volume method,Mathematics
Journal
Volume
Issue
ISSN
299
C
0021-9991
Citations 
PageRank 
References 
10
0.58
17
Authors
4
Name
Order
Citations
PageRank
Donald E. Burton1525.40
Nathaniel R. Morgan2527.68
Theodore C. Carney3211.33
Mark A. Kenamond4352.56