# A parabolic relaxation model for the Navier-Stokes-Korteweg equations

@article{Hitz2019APR, title={A parabolic relaxation model for the Navier-Stokes-Korteweg equations}, author={T. Hitz and Jens Keim and Claus-Dieter Munz and Christian Rohde}, journal={J. Comput. Phys.}, year={2019}, volume={421}, pages={109714} }

## 4 Citations

### A Relaxation Model for the Non-Isothermal Navier-Stokes-Korteweg Equations in Confined Domains

- Physics
- 2022

The Navier-Stokes-Korteweg (NSK) system is a classical diﬀuse interface model which is based on van der Waals’ theory of capillarity. Diﬀuse interface methods have gained much interest to model…

### Explicit-Implicit Domain Splitting for Two Phase Flows with Phase Transition

- Computer Science
- 2022

This work considers the isothermal Euler equations with phase transition between a liquid and a vapor phase and proposes an explicit implicit domain splitting where the majority of the grid cells are treated explicitly and only the neighborhood of the tiny cells is treated implicitly.

### A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach

- Computer ScienceJ. Comput. Phys.
- 2022

### Hydrodynamic density functional theory for mixtures from a variational principle and its application to droplet coalescence.

- PhysicsThe Journal of chemical physics
- 2021

This work identifies a suitable expression for driving forces for molecular diffusion of inhomogeneous systems and shows that the hydrodynamic DFT model, although not formulated in conservative form, globally satisfies the first and second law of thermodynamics.

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