A high-order Eulerian Godunov method for elastic-plastic flow in solids
By Gregory H. Miller, Phillip Colella. 2001
193 citations recorded by the source corpus.
Subfields: Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/36435e61bc9c04a3ee02bf8a731d153ea1ab14c5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Eleuterio F. Toro
- Vladimir A. Titarev
- Andrea Mignone
- Gianluigi Bodo
- Michael Dumbser
- Evgeniy I. Romenski
- Tomasz Plewa
- Richard Saurel
Citations in the corpus
- Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures (2009, background): “– Interfaces separating compressible fluids and elastic solids in extreme deformations [33,50,17,15].”
- Development of a cell centred upwind finite volume algorithm for a new conservation law formulation in structural dynamics (2013, methodology): “The second approach, introduced by Miller and Colella (2001) [118], is to formulate a modified system of equations based on the assumption that curlF 6= 0.”
- MUSTA‐type upwind fluxes for non‐linear elasticity (2008, methodology): “A second-order Godunov-type method based on an approximate Riemann solver is developed in [10].”
- THREE-DIMENSIONAL SOLAR WIND MODELING FROM THE SUN TO EARTH BY A SIP-CESE MHD MODEL WITH A SIX-COMPONENT GRID (2010, methodology): “A finite-difference approximation (Rider 1998; Miller & Colella 2001; Crockett et al. 2005) may be used to achieve a simple, single-step filter.”
- An improved CE/SE scheme for multi-material elastic–plastic flows and its applications (2009, methodology): “For example, Miller and Colella [9] employed the second-order Godunov method; Howell and Ball [10] developed a free Lagrange scheme with the Godunov method; and Udaykumar et al.”
- A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing (2002, methodology): “Our implementation uses an Eulerian Godunov method for solid mechanics described in [25], and a new non-spatially split implementation of the piecewise parabolic method (PPM) for fluids, described here.”
- The Piecewise Parabolic Method for Multidimensional Relativistic Fluid Dynamics (2005, methodology): “The homogeneous operator H t is based on the spatially unsplit fully corner-coupled method (CTU, Colella 1990; Saltzman 1994; Miller & Colella 2001, 2002).”