Reduction of dissipation in Lagrange cell-centered hydrodynamics (CCH) through corner gradient reconstruction (CGR)

JOURNAL OF COMPUTATIONAL PHYSICS

卷:299

Article

Burton, D. E.¹  Morgan, N. R.¹  Carney, T. C.¹  Kenamond, M. A.¹ 

[1] Los Alamos Natl Lab, X Computat Phys Div, Los Alamos, NM 87544 USA

关键词: Lagrangian;    Hydrodynamics;    Godunov;    Cell-centered;    Finite-volume;    Reconstruction;    Higher-order;    Dissipation;    CCH;    Corner gradient reconstruction;    CGR;   

DOI  :  10.1016/j.jcp.2015.06.041

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free