A projection FEM for variable density incompressible flows
By Jean-Luc Guermond, L. Quartapelle. 2000
320 citations recorded by the source corpus.
Subfields: Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/f28a4b327b6a3715ebeeac654a95152a70fdfdf5
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
- Xiaofeng Yang
- Jie Shen
- Axel Voigt
- Sebastian Aland
- Junseok Kim
- Sébastian Minjeaud
- Céline Lapuerta
- G. Em Karniadakis
In Numerical Analysis
- Jie Shen
- G. Em Karniadakis
- Xiaofeng Yang
- Fangying Song
- Axel Voigt
- Yan-Ting Lin
- Sebastian Aland
- Chuanju Xu
Citations in the corpus
- Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows (2010, unknown): “[9]).”
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities (2010, background): “The few exceptions which deal with variable density are [7] [19] [8], which serve as inspiration for the numerical schemes we present below.”
- A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations (2016, methodology): “Following the idea in [62], we can modify the Navier–Stokes equations (2.”
- Benchmark computations of diffuse interface models for two‐dimensional bubble dynamics (2012, methodology): “(11) Following Guermond and Quartapelle [16], an energy estimate of the model could be shown by introducing the new variable r Dp , see [7].”
- A conservative phase field method for solving incompressible two-phase flows (2011, methodology): “We also compare the top of the rising fluid and the bottom of the falling fluid with the solutions of Guermond et al.[33] and Ding et al.”
- Cahn–Hilliard/Navier–Stokes Model for the Simulation of Three-Phase Flows (2010, background): “The reason for the choice of this formulation, initially proposed by Guermond and Quartapelle [10] in the more usual context of variable-density incompressible single phase flows, is that it guarantees the control of the kinetic energy even if the mass balance equation has not the classical form.”
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows (2015, methodology): “Various approaches have been proposed to deal with variable density in the case of Navier–Stokes equations [13, 28, 24, 14] and in the case of phase-field models [34, 32, 2, 27].”